what is the equation of the line that is parallel to the line y= 3x-4 and passes through the point (4, -2)

Answers

Answer 1

Answer:

y = 3x - 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (4, - 2) into the partial equation

- 2 = 12 + c ⇒ c = - 2 - 12 = - 14

y = 3x - 14 ← equation of parallel line

Answer 2
Final answer:

The line that is parallel to y=3x-4 and passes through the point (4,-2) has the equation y=3x - 14. This is determined by knowing that parallel lines have the same slope and using the point-slope form of a line equation.

Explanation:

In Mathematics, two lines are parallel if they have the same slope. The line provided in this case is y=3x-4. The slope is 3, which we identify by taking the coefficient of x. Thus, any line parallel to this one will also have a slope of 3.

We also know the line we're seeking passes through the point (4,-2). We will use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope, and (x1,y1) is a point on the line. Substituting the known values, we get: y - (-2) = 3(x - 4).

Simplifying this equation gives us the equation of the line that is parallel to y = 3x - 4 and passes through the point (4,-2) as: y = 3x -14.

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Related Questions

Jay had to paint part of the outside of his house he spent 7 hours painting one side and 12 hours painting another how long did it take him to paint both sides

Answers

Final answer:

Jay spent 19 hours painting both parts of his house, which is obtained by adding the time he spent painting each side: 7 hours and 12 hours.

Explanation:

The question is asking about the total time Jay spent painting two sides of his house. We know that he spent 7 hours painting one side and 12 hours painting another side. To find the total time spent, we simply need to add the two times together. So, 7 hours + 12 hours equals 19 hours. Therefore, Jay spent 19 hours in total painting both parts of his house.

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FIND AREA ASAP PLEASE

Answers

Answer:

[tex]\large\boxed{A=(223.3+49\pi)m^2}[/tex]

Step-by-step explanation:

(look at the picture)

We have:

two halves of circle (whole circle) with radius r = 7m;

the suqare wih length side a = 14m;

the triangle with base b = 14m and hight h = 3.9m.

The formula of an area of a circle:

[tex]A_1=\pi r^2[/tex]

Substitute:

[tex]A_1=\pi(7^2)=49\pi\ m^2[/tex]

The formula of an area of a square:

[tex]A_2=a^2[/tex]

Substitute:

[tex]A_2=14^2=196\ m^2[/tex]

The formula of an area of a triangle:

[tex]A_3=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_3=\dfrac{(14)(3.9)}{2}=(7)(3.9)=27.3\ m^2[/tex]

The area of a figure:

[tex]A=A_1+A_2+A_3\\\\A=49\pi+196+27.3=223.3+49\pi[/tex]

Two architectural models are pyramids with bases of equal area. The smaller model has a height of 10 centimeters, and the larger model has a height of 30 centimeters. How many times greater than the smaller model is the larger model’s volume?

Answers

Answer:

The larger model’s volume is 3 times greater than the volume of the smaller model

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base of pyramid

h is the height of the pyramid

Find the volume of the smaller model

we have

[tex]h=10\ cm[/tex]

substitute

[tex]V=\frac{1}{3}B(10)[/tex]

[tex]V=\frac{10}{3}B\ cm^{3}[/tex]

Find the volume of the larger model

we have

[tex]h=30\ cm[/tex]

substitute

[tex]V=\frac{1}{3}B(30)[/tex]

[tex]V=\frac{30}{3}B=10B\ cm^{3}[/tex]

To find how many times greater than the smaller model is the larger model’s volume, divide the volume of the larger model by the volume of the smaller model

so

[tex]10B/(\frac{10}{3}B)=3[/tex]

The larger model’s volume is 3 times greater than the volume of the smaller model

Match the term with the definition

Answers

Answer:

Plane: C) A flat surface that extends infinitively and has no depth; it has length and width

Perpendicular Lines: B) Two lines that intersect at 90° angles

Parallel Lines: E) Two lines that lie within the same plane and never intersect

Circle: D) A set of all points in a plane that are given distance from a plane

Angle: A) A figure consisting of two rays with a common endpoint

I hope this helps

this is 100% correct

plz mark me brainliest

Use the quadratic formula to solve for the roots in the following equation. 4x 2 + 5x + 2 = 2x 2 + 7x – 1

Answers

Answer:

So, The roots are [tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 + 5x + 2 = 2x^2 + 7x - 1[/tex]

We need to solve the equation to find the roots using quadratic formula.

The quadratic formula is:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Rearranging the above equation:

[tex]4x^2 -2x^2+ 5x-7x + 2+1 =0[/tex]

[tex]2x^2 -2x + 3 =0[/tex]

Where a =2 , b=-2 and c =3 Putting values in quadratic equation and solving:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(2)(3)}}{2(2)}\\x=\frac{2\pm\sqrt{4-24}}{4}\\x=\frac{2\pm\sqrt{-20}}{4}\\\sqrt{-20} \,\,can\,\,be\,\, written\,\, as\,\, 2\sqrt{-5}\\ x=\frac{2\pm2\sqrt{-5}}{4}\\x=\frac{2+2\sqrt{-5}}{4} \,\, and \,\, x=\frac{2-2\sqrt{-5}}{4}\\x=\frac{2(1+\sqrt{-5})}{4} \,\, and \,\, x=\frac{2(1-\sqrt{-5})}{4}\\ x=\frac{1+\sqrt{-5}}{2} \,\, and \,\, x=\frac{1-\sqrt{-5}}{2}\\As \,\,we\,\, know\,\, \sqrt{-1} = i \\[/tex]

[tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

So, The roots are [tex]x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}[/tex]

Answer:

these numbers go in the spaces. short and simple.

1 5

2 2

mark brainliest please!

Step-by-step explanation:

Beth said that g(x)=f(x)=x²-12 is a horizontal translation of f(x)=x² . Find and fix the errors and write the correct equation for a horizontal translation.

Answers

Final answer:

To perform a horizontal translation on a function, replace x with x - h in the function

Explanation:

To perform a horizontal translation on a function, we need to replace x with x - h in the function where h is the amount of translation. In the given case, the correct equation for a horizontal translation would be g(x) = f(x - h) = (x - h)² - 12, where h represents the amount of horizontal translation.

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Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:

Bill: How many books did you read this summer?
Lisa: Which book was first recommended to be read by the book club during the summer break?

Who wrote a statistical question and why?

Bill, because there will be variability in the responses collected

Lisa, because there can be only one answer to the question

Bill, because every student will give the same answer

Lisa, because there can be many answers to the question

Answers

Bill is the one who wrote this statistical question so there will be there will be variability in the responses collected.

Bill, because there will be variability in the responses collected

A:
Calculate the length of CE

B:
Calculate the length of DE

C:
The area of a triangle ABD is 36cm

Calculate the area of the quadrilateral BDEC

Answers

Step-by-step explanation:

it is solved directly by using the formula

Final answer:

To calculate the length of CE, use the properties of similar triangles. Use the same proportion to calculate the length of DE. To find the area of the quadrilateral BDEC, calculate the area of the triangle CDE and subtract it from the area of ABCD.

Explanation:

To calculate the length of CE, we need to use the properties of similar triangles. Since ABC and AED are similar, we can set up the proportion AB/AC = AD/AE. We know that AB = 5cm and AC = 10cm, and we need to solve for AE. Rearranging the proportion, we get AE = AD * AC / AB. Plugging in the values, AE = 6cm.

To calculate the length of DE, we can use the same proportion from above, but this time solving for DE. Rearranging the proportion, we get DE = AD * AC / AB. Plugging in the values, DE = 3cm.

The area of triangle ABD is given as 36cm. To calculate the area of the quadrilateral BDEC, we need to find the area of the triangle CDE and subtract it from the area of the quadrilateral ABCD. Since triangles CDE and ABC share the same height, we can use the ratios of their bases to calculate the area of CDE. The ratio of CE to CB is 6/10, so the ratio of the areas of CDE to ABC is (6/10)^2 = 0.36. Therefore, the area of CDE is 0.36 times the area of ABC, or 0.36 * 36cm = 12.96cm.

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The table below shows the number of tickets sold, t, at a high school basketball game, and the amount of money collected, m.

Tickets Sold (t) Money Collected (m)
25 $62.50
35 $87.50
40 $100

Which equation will calculate the amount of money collected after t tickets are sold?

Answers

m = t2.5

So money equals to tickets sold*2.5

2.5 is each tickets price

If you ask how I found;

$100 / 40 tickets = $2.5

A fraction reduces to 36. If its denominator is 6x^5, what it's its numerator?

Answers

Final answer:

To determine the numerator of a fraction that simplifies to 36 with a denominator of 6x^5, you solve the equation Numerator/6x^5 = 36 by multiplying both sides by 6x^5, resulting in a numerator of 216x^5.

Explanation:

To find the numerator of a fraction that reduces to 36 with a denominator of 6x^5, we set up an equation to represent the fraction in its simplest form.

We know that when we divide the numerator by the denominator, the result is 36. Therefore, the equation to solve is Numerator/6x^5 = 36.

Multiplying both sides of the equation by 6x^5 will isolate the numerator on one side.

The calculation becomes:

Numerator = 36 × 6x^5

Next, we carry out the multiplication to find:

Numerator = 216x^5

This means that the numerator of the original fraction is 216x^5.

Use 3.14 for and round to the nearest tenth. A circle has a radius of 6 inches. What is its area

Answers

Answer:

113.0 inches per square

Step-by-step explanation:

Given

r=6 inches

The formula for finding the area of a circle is:

A= πr^2

Here, A denotes the area and r denotes the radius whereas the value of π is 22/7 or 3.14.

As in the question it is directed to use 3.14 for the value of π  

So,

A=3.14*(6)^2

=3.14*36

=113.04 inches^2

Rounding off to the nearest 10

A=113.0 inches^2

So the area of given circle is 113.0 inches per square ..  

If (-3) exponent -5 = 1/x, what is the value of x?
-243
- 1/243
1/243
243

Answers

Answer:

[tex]\boxed {-243}\\[/tex]

Step-by-step explanation:

[tex]\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}[/tex]

Consider the graph of function f below select the true statement

Answers

Answer:

The answer is C, the graph has the y intercept of 2

Step-by-step explanation:

You can see from the graph that the line intercepts the y axis at 2

It wouldn't be the slope of 1/2 because that choice isn't negative and this is a decreasing/negative graph

NEED ASAP

A person walks for 100 yards then turns through an angle of 60° and walks another hundred yards. How far is she from her starting point?

Please help!! I’m not sure what formula to use!!

Answers

Answer:

[tex]100\ yd[/tex]

Step-by-step explanation:

we know that

Applying the law of cosines

[tex]c^{2} =a^{2}+b^{2}-2(a)(b)cos(C)[/tex]

In this problem we have

c-----> is the distance from her starting point

[tex]a=100\ yd[/tex]

[tex]b=100\ yd[/tex]

[tex]C=60\°[/tex]

substitute

[tex]c^{2} =100^{2}+100^{2}-2(100)(100)cos(60\°)[/tex]

[tex]c^{2} =10,000+10,000-10,000[/tex]

[tex]c^{2} =10,000[/tex]

[tex]c=100\ yd[/tex]

The sector of a circle with a 12-inch radius has a central angle measure of 60

What is the exact area of the sector in terms of pi

Answers

Answer:

24 π square inches

Step-by-step explanation:

The area of a circule is give by the formula A = π r²

Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).

A circle = π * 12² = 144 π square inches

Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:

[tex]\frac{x}{144\pi } = \frac{60}{360}[/tex]

x = 144 π / 6 = 24 π square inches

What is the midpoint of the x intercepts of f(x)=(x-2)(x-4

Answers

The answer will be 3 because you have to take the opposite for number for (x-2)(x-4) and your x-intercept will be 2,4 and the middle of 2 an 4 is 3

Answer:

A. (0,0)

Step-by-step explanation:

both lines run through (4,-4)

they meet at 0 on the Y axis

so the answer is (0,0)

There is a 90% chance of rain tomorrow and a 30% chance that the baseball game is postpone. What is the probability it will rain tomorrow and the baseball game is postponed.

Answers

Hello! :)

The answer is probably from changing first to decimals by dividing by 100: 90 and 30 become .9 and .3.

Then, multiply the two: .9 x .3 = .27

Finally, you multiply .27 by 100 = 27

Add the percentage sign: 27%

So there is a 27% chance that it will rain and the baseball game is postponed.

Very unlikely, I know. ;D

Hope this helped and I hope I answered in time!

Good luck!

~ Destiny ^_^

The probability it will rain tomorrow and the baseball game is postponed is 0.93 .

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

According to classical definition of probability, a random experiment consists of a set of possible outcomes and each set of possible outcomes is equally likely to occur in the course of the event.

How to calculate the given probability ?

It is given that there is a 90% chance of rain tomorrow and a 30% chance that the baseball game is postpone.

Let A be the probability that there is a chance of rain tomorrow and B be the probability that the baseball game is postpone.

P(A) = 90% = 0.9 and P(B) = 30% = 0.3 and P(A∩B) = (0.9*0.3) = 0.27 .

The probability it will rain tomorrow and the baseball game is postponed is given by P(A∪B) .

By formula,

⇒ P(A∪B) = P(A) + P(B) - P(A∩B)

⇒ P(A∪B) = 0.9 + 0.3 - 0.27

∴  P(A∪B) = 0.93 .

Therefore, the probability it will rain tomorrow and the baseball game is postponed is 0.93 .

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2. I need help with question in the attached picture!

Answers

Answer:

Option D is correct.

Step-by-step explanation:

2x^2 -4x +9

We need to find root of the equation.

We will use quadratic equation to solve.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

here a =2, b=-4 and c=9

Putting values and finding the value of x

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-4)\pm\sqrt{(-4)^2-4(2)(9)}}{2(2)}\\x=\frac{4\pm\sqrt{16-72}}{4}\\x=\frac{4\pm\sqrt{-56}}{4}\\x=\frac{4\pm\sqrt{-(2*2*2*7)}}{4}\\x=\frac{4\pm\sqrt{-(2^2*2*7)}}{4}\\x=\frac{4\pm\sqrt{2^2}\sqrt{-14}}{4}\\We\,\,know\,\,\sqrt{-1}=i\,\,\\x=\frac{4\pm2\sqrt{14}i}{4}\\Dividing\,\,by\,\,4\,\,\\x= 1\pm\frac{\sqrt{14}i}{2} \\So,\\x=1+\frac{\sqrt{14}i}{2} \,\,and\,\, x=1-\frac{\sqrt{14}i}{2}[/tex]

So, one of the root is [tex]x=1+\frac{\sqrt{14}i}{2}[/tex]

So, Option D is correct.

Fill in the missing steps and justification

Answers

Step-by-step explanation:

1. 4x - 7 = -2x + 12, Given

2. 4x - 7 + 2x = -2x + 12 + 2x, Addition property of equality

3. 6x - 7 = 12, Simplification

4. 6x - 7 + 7 = 12 + 7, Addition property of equality

5. 6x = 19, Simplification

6. 6x/6 = 19/6, Division property of equality

7. x = 19/6, Simplification

Answer:

The steps are :

1. [tex]4x-7=-2x+12[/tex] - This is Given

2. [tex]4x-7+2x=-2x+12+2x[/tex] - Here, addition property of equality is used.

3. [tex]6x-7=12[/tex] - This step is simplification as both the LHS and RHS are being calculated and simplified.

4. [tex]6x-7+ 7=12+7[/tex] - Here, again addition property of equality is applied.

5. [tex]6x =19[/tex] - This is simplification again.

6. [tex]\frac{6x}{6}=\frac{19}{6}[/tex] - Here the division property of equality is applied.

7. [tex]x=\frac{19}{6}[/tex] - This step is simplification.

If the first term of the series is 30 and the 14th term is 95, what is the sum of all the terms of the series?

A. 813
B. 423
C. 455
D. 875

Answers

Answer:

D)  [tex]S_{14} = 875[/tex].

Step-by-step explanation:

Given  : If the first term of the series is 30 and the 14th term is 95,

To find : what is the sum of all the terms of the series.

Solution : We have given

First term = 30 .

14 th term = 95.

Sum of all term = [tex]S_{n} =\frac{n(first\ term +\ last\ term)}{2}[/tex].

Here, n = 14.

 [tex]S_{14} =\frac{14(30 +95)}{2}[/tex].

 [tex]S_{14} =\frac{14(125)}{2}[/tex].

 [tex]S_{14} =\frac{1750}{2}[/tex].

 [tex]S_{14} = 875[/tex].

Therefore, D)  [tex]S_{14} = 875[/tex].

Answer:

The sum of all the terms in series is 875.

Step-by-step explanation:

Given : If the first term of the series is 30 and the 14th term is 95,

To find : What is the sum of all the terms of the series?            

Solution :

The first term of the  series is 30 i.e. a=30

The 14th term of series is 95 i.e. [tex]a_{14}=95[/tex]

We know that in arithmetic series the 14th term is defined as

[tex]a_{14}=a+13d[/tex]

Substitute the value of a,

[tex]95=30+13d[/tex]

[tex]95-30=13d[/tex]

[tex]65=13d[/tex]

[tex]d=\frac{65}{13}[/tex]

[tex]d=5[/tex]

The common difference is 5.

The sum of the series is given by,

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex]

[tex]S_{14}=\frac{14}{2}[2(30)+(14-1)5][/tex]

[tex]S_{14}=7[60+(13)5][/tex]

[tex]S_{14}=7[60+65][/tex]

[tex]S_{14}=7[125][/tex]

[tex]S_{14}=875[/tex]

Therefore, The sum of all the terms in series is 875.

The sum of four consecutive odd numbers is 40 what is the greatest of the four numbers

Answers

Answer:

13

Step-by-step explanation:

First find the average the numbers (40 / 4 = 10)

2 are more and 2 are less

7, 9, 11, 13

An odd number can be written as 2n+1, where n is an integer. Four consecutive odd numbers can be written as 2n-3, 2n - 1, 2n + 1 and 2n + 3. Adding these together gives you 8n, which we are told is 40. So n is 5 and the four consecutive odd numbers are 7, 9, 11 and 13.

Type the correct answer in the box. If necessary, use / for the fraction bar. A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random. The exact probability that Taylor picks an egg from the basket is .

Answers

Answer:

29/40

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. The exact probability that Taylor picks an egg from the basket is;

(14+15)/(14+15+11) = 29/40

Answer:

The exact probability that Taylor picks an egg from the basket is 0.725

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs and 11 lemons.

Total number of items in the basket [tex]=14+15+11= 40[/tex]

Total number of eggs in the basket [tex]=14+15= 29[/tex]

Taylor picks one item at random from the basket.

So, the probability that Taylor picks an egg [tex]=\frac{total\ number\ of\ eggs}{total\ number\ of\ items}=\frac{29}{40}=0.725[/tex]

The acceleration, a, of an object produced when a force is applied is given by the following formula, where F represents the force acting on the object and m represents the mass of the object.



If a has units of meters per second squared and m has units of grams, what must be the units of F?
A.
meters per second
B.
grams·meters per second squared
C.
grams
D.
grams·meters per second

Answers

I think it’s b I hop

i need help please and thank you

Answers

My answers are in the picture above.

How to write 3.499 an Expanded Form and Word Form? PLEASE HELP ME

Answers

(3 x 1 ) + (4 x 0.1) + (9 x 0.01) + ( 9 x 0.001)

OR

3 + 0.4 + 0.09 + 0.009

Three and four hundred ninety-nine thousandths

Hope this helped!

Please need help badly. If the area of BAC=8, what is the area of EDF

Answers

Answer:im not sure but if im correct the answer should be 6

Step-by-step explanation:im assuming this cause if 8/4 is 2 then take the 2 and times it with the 3

Answer:

Area of ΔEDF = 4.5 in²

Work shown image:

10 points please help very easy

Answers

Answer:

165 KBS and 750 jump rope

Step-by-step explanation:

The model a = 0.25t + 29 represents the median age a of females in the United States as a function of time t (in years since 1970).

a. Predict the median age of females in 2007 to the nearest tenth.
2007 is
years after 1970, so a = 0.25( ) + 29 =

b. Predict the median age of females in 2018 to the nearest tenth.
2018 is years after 1970, so a = 0.25( ) + 29 =

Answers

Answer:

a. 38.3

b. 41.0

Step-by-step explanation:

We have been given the linear model;

a = 0.25t + 29

where a represents the median age of females in the United States and t the number of years since 1970

a.

We are required to predict the median age of females in 2007. The first step is to determine the number of years from 1970 to 2007 by finding the difference;

2007 - 1970 = 37

2007 is  thus 37 years after 1970.

The next step is to substitute t = 37 in the given linear model;

a = 0.25( 37) + 29 = 38.25

b.

We are required to predict the median age of females in 2018. The first step is to determine the number of years from 1970 to 2018 by finding the difference;

2018 - 1970 = 48

2018 is thus 48 years after 1970

The next step is to substitute t = 48 in the given linear model;

a = 0.25( 48) + 29 = 41

Let me know the answer plz

Answers

Answer:

J

Step-by-step explanation:

Find the common ratio r of the geometric sequence then multiply a term by r to obtain the next term

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{-36}[/tex] = - [tex]\frac{1}{6}[/tex]

The next 3 terms are

[tex]\frac{1}{6}[/tex] × - [tex]\frac{1}{6}[/tex] = - [tex]\frac{1}{36}[/tex]

- [tex]\frac{1}{36}[/tex] × - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{216}[/tex]

[tex]\frac{1}{216}[/tex] × - [tex]\frac{1}{6}[/tex] = - [tex]\frac{1}{1296}[/tex]

Answer:

J. [tex]-\frac{1}{36}[/tex], [tex]\frac{1}{216}[/tex], [tex]-\frac{1}{1296}[/tex]

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

[tex]-36, 6, -1, \frac{1}{6},...[/tex]

Here [tex]a_1=-36[/tex] and common ratio [tex](r) = \frac{-1}{6}=\frac{-1}{6}[/tex].

The formula we will use to find the next three terms is:

nth term = [tex]a_1 \times r^{(n-1)}[/tex]

5th term = [tex]-36 \times \frac{-1}{6}^{(5-1)}[/tex]  = [tex]-\frac{1}{36}[/tex]

6th term = [tex]-36 \times \frac{-1}{6}^{(6-1)}[/tex]  = [tex]\frac{1}{216}[/tex]

7th term = [tex]-36 \times \frac{-1}{6}^{(7-1)}[/tex]  = [tex]-\frac{1}{1296}[/tex]

11 cm
63°
9 cm
What is the area of this triangle?

Enter your answer as a decimal in the box
Round only your final answer to the nearest
tenth.

Answers

The correct answer is 44.1 [tex]cm^{2}[/tex]. I took the test.

Other Questions
the plane that contains points C and T can also be named plane From what literary work is the following excerpt from?"Look what I'm plannin', plannin', I'm plannin' toDo all this while ya panickin'And you're lookin' and starin' at mannequinsAnd I'm goin' to FanagansTrying to get up a plan againstAll of the blana-kazana-ka-fam-bam-bannigansWhile of all the bana-kazanika Hanna in a cabanaYou're in a cab-I'm in a cabana and a JanetI'm in a cabana chantin' all this standup banterWhile you don't got the stamina, you're lackin' the staminaYou're lackin' the stamina while you're divorcin' Harrison FordAnd I'm in a Porsche on the floorboardsWhile I'm world tourin'You usin' way too many napkins, papkinsLapkins and chapki-You using ChapStick and napkins while I'm bapkin'Flappin' around like a bapkin'FlamminababbitapannitajampkinDammit, a can of pada-" HELP!!! Use the factor Theorem to determine whether the binomial x+1 is a factor of the polynomial function f(x) =2x^3-9x^2+13x-6A. No because f(c)=-30B. No because f(c)=-4C. YesD. No because f(c) =14 For which equation would n = 0 not be a solution?n + 4 = 57 + n = 7n + 12 = 12125 + n = 125 Ava wants to paint two walls in her room blue. Both walls are 9 feet tall and 12 feet long. One wall has a 3 foot by 2 foot window and the other wall has a 3 foot by 7 foot door. What is the combined area of the two walls Ava wants to paint? 189 ft2210 ft2216 ft2243 ft2 If a wave has a wavelength of 13 meters and a period of 0.005, what's the velocity of the wave? A. 2,600 m/s B. 260 m/s C. 1,300 m/s D. 1,560 m/s I need help on this question. According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.0.0010.0020.1280.900 How many us states share a border with mexico Witch best describes how banks attract consumers who want to save their money A. They offer competitive interest rates to consumers depositing money.B. They only provide loans to consumers who have deposited money.C. They provide debit cards to consumers who deposit money. D. They guarantee a percentage of each loan made to every consumer. A______is the formation of a political union by a number of states with a central government. Although Stan had agreed to the homework of the previous week, Stan did not approach his professor to make an appointment to talk to her. Stan stated that there was a line (of two individuals, as it turns out) and that the professor always seems very busy and he did not want to bother her. Dr. Corey suggests that Stan might benefit from _____ training and he and Stan begin to rehearse an encounter. Read the following title: Lines Composed a Few Miles Above Tintern AbbeyWhat type of information does this title most likely give about the poem? Which amount is a reasonable tip for an airport skycap? A. $2 total B. $2 per bag C. $5 per bag D. $10 per bag How does the King of Lycia resolve the conflict caused by the contradictory messages Bellerophon brings?Since he is a kind man, he refuses to put Bellerophon to death.He sacrifices Bellerophon to the monster.Because he knows the motive is jealousy, he ignores the messages.He sends Bellerophon to kill the monster.plz help enzymes that move certain phospholipids between leaflets have also which of the following properties?A. play a role establishing and maintaining membrane lipid asymmetryB. Transport proteinsC.Blocks post-synaptic membraneD.Interacts with neighboring epithelial cells, or basal membraneE. All of these are correct. Which statements are true about the fully simplified product of (b-2c)(-3b c) ? Select two options. ( 1 )The simplified product has 2 terms. ( 2 )The simplified product has 4 terms. ( 3 )The simplified product has a degree of 2. ( 4 )The simplified product has a degree of 3. ( 5 )The simplified product has a degree of 4. ( 6 )The simplified product, in standard form, has exactly 2 negative terms. which of the following is a nonrenewable source of energy A pyramid and a cone are both 10 centimeters tall and have the same volume. What state must be true about the two solids 6. Describe the end behavior and determinewhether the graph represents anodd-degree or an even-degree polynomial function. Then state the number of real 0s 7. GEOMETRY Recall the formula for finding the area of a rectangle Define avariable for the width and set up an equation to find the dimensions of a rectangle with an area of 144 square inches given the length is 10 inches longer than the width Steam Workshop Downloader