Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 2 and (a, b) = (10, - 9), hence
y - (- 9) = - 2(x - 10), that is
y + 9 = - 2(x - 10) ← in point- slope form
Answer: [tex]y+9=-2(x-10)[/tex]
Step-by-step explanation:
We know that the equation of a line in point slope form passing through point (a,b) and having slope 'm' is given by :-
[tex](y-b)=m(x-a)[/tex]
Given : Point : (10,-9)
Slope : m=-2
Then , the equation of a line in point slope form passing through point (10,-9) and having slope '-2' is given by :-
[tex](y-(-9))=-2(x-10)\\\\\Rightarrow\ y+9=-2(x-10)[/tex]
I need help finding the answer
Answer:
32
Step-by-step explanation:
The formula is base x hight.
The base is 8.
The hight is 4.
You just multiply the two.
8x4=32
Simple. :)
Hope this helps!
Answer: 42 inches squared
Step-by-step explanation:
To find the total area you will find the area of the rectangle and then add that to the area of the triangle. (Remember a triangle is half of a rectangle!) First we will find the area of the rectangle...
4x8=32 inches squares
Now let’s find the area of the triangle, find the rectangle then divide it in half...
5x4=20 inches squared
20/2=10 inches squared
Now add 32 to 10 and you’ll have your answer!
32+10=42 inches squared
What is the slope of the graph? Leave your answer as a reduced fraction.
Slope =
Identify the y-intercept. Write as a coordinate.
y-intercept =
Write an equation in slope-intercept form for the graph above.
y=
Answer:
slope = -2
y-intercept = (0,2)
y = -2x + 2
Step-by-step explanation:
In order to find the slope, we must use the formula y2-y1/x2 - x1. But in order to do so, we will have to find two perfect points.
perfect point #1: (-2,6)
perfect point #2: (2, -2)
Now, we simply input the corresponding points into our formula.
-2 - 6 = -8
2 - (-2) = 4
-8/4 = -2
So, the slope of the graph is -2
In order to find the y-intercept we must look at where the line intersects in the y axis. Looking back at our graph, we can determine that the line intersects at (0,2)
The slope-intercept form is y = mx + b, m represents the slope and b represents the y intercept. Therefore after inputting the slope and y-intercept we should get y = -2x + 2
If 2x+y = 6 and x−6=y, what is the value of x?
(A) 0 (B) 2 (C) 3 (D) 4 (E) 6
Answer:
x = 4
Step-by-step explanation:
2x + y = 6 ... (i)
x - 6 = y ... (ii)
y = 6 - 2x ... (i)
y = x - 6 ... (ii)
So,
6 - 2x = x - 6
x + 2x = 6 + 6
3x = 12
x = 12/3 = 4
f(4) = 1 :
If g(x) = 2, x=
Answer:
f(4) = -11, g(x) = 2 → x = 0Step-by-step explanation:
Look at the picture.
Answer:
2g{4} hahah sike
Step-by-step explanation:
An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 seconds?
Answer:
-2√2, or ≈-2.83
Step-by-step explanation:
Well, when t = 1.75, our equation should be [tex]d=4\sin{(\pi \cdot1.75)}[/tex].
Note that [tex]\pi\cdot1.75=\frac{7\pi}{4}[/tex]. Using the unit circle (attached), we can find that the value of sine at [tex]\frac{7\pi}{4}[/tex] radians is exactly [tex]-\frac{\sqrt2}{2}[/tex]. Plugging that value back into our equation gives us
[tex]d=4\cdot\left(-\frac{\sqrt2}{2} \right)=-\frac{4\sqrt2}{2}=-2\sqrt2[/tex]
So our answer is [tex]d=-2\sqrt2[/tex], in whatever units we're using to measure height.
Answer: 0.38 Meters
Step-by-step explanation:
plug 1.75 in for t and solve, do not convert into units as you need the height so meters is accurate.
d=0.38
y+1=-3x(x+4)
help me solve please
One file clerk can file 10 folders per minute. A second file clerk can file 11 folders per minute. How many minutes would the two clerks together take to file 672 folders?
Answer:
32 Minutes
Step-by-step explanation:
Together the two clerks can file 21 files per minute (10+11=21).
Therefore to file 672 folders would take 32 minutes (672/21=32)
What is the exact volume of a cylinder whose radius is 13 meters and whose height is 20 meters?
Enter your answer, in terms of π in the box.
in the box.
____ m³
PLEASE HELP 25 POINTS !!
The exact volume of the cylinder is [tex]\( 3380\pi \)[/tex] cubic meters.
To find the exact volume V of a cylinder, we use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159,
- r is the radius of the cylinder, and
- h is the height of the cylinder.
Given:
- Radius (r=13) meters, and
- Height (h=20) meters.
Substitute these values into the formula:
[tex]\[ V = \pi \times (13)^2 \times 20 \]\[ V = \pi \times 169 \times 20 \][/tex]
[tex]\[ V = 3380\pi \][/tex]
The exact volume of the cylinder is 10,613.2 cubic meters.
To find the volume of a cylinder, we use the formula: Volume = πr²h, where π (pi) is approximately 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
Given:
Radius (r) = 13 meters
Height (h) = 20 meters
Calculate the area of the base (circle) using the formula A = πr².
A = 3.14 × (13)²
A = 3.14 × 169
A = 530.66 square meters
Multiply the area of the base by the height of the cylinder.
Volume = 530.66 × 20
Volume = 10,613.2 cubic meters
So, the exact volume of the cylinder is 10,613.2 cubic meters.
Add.
3x2 - 5x+1
2x2 +9x-6
+
Answer:
The sum of the two expressions is 5x^2 + 4x - 5
Step-by-step explanation:
Rewrite
3x2 - 5x+1
2x2 +9x-6
as
3x^2 - 5x+1
2x^2 +9x-6 " ^ " indicates exponentiation
-----------------
5x^2 + 4x - 5
Answer:
[tex]5x^2+4x-5[/tex]
Step-by-step explanation:
[tex]3x^2-5x+1 \ and \ 2x^2 + 9x -6[/tex]
Add both the polynomials
To add both the polynomials we combine like terms
[tex]3x^2-5x+1 +2x^2 + 9x -6[/tex]
3x^2 and 2x^2 are like terms . it becomes 5x^2
-5x and 9x are like terms . it becomes 4x
[tex]3x^2-5x+1 +2x^2 + 9x -6[/tex]
[tex]5x^2+4x-5/tex]
Which function is negative for the interval (–1, 1]?
⇒The Interval in which we have to find the function is Negative is (-1,1].
→(-1,1]=Semi closed or Semi Open Interval, Point -1, is not included in the set, but 1 is included in the set.
⇒ The meaning of negative here is,that either for positive or negative value of x , the value of f(x), that is y Should be negative.
⇒y is negative in third and fourth Quadrant.
Graph -(2), is the function , in which the function is negative for the interval (–1, 1].
The graph of relation r is shown. Which of the following graphs represents the relation and it’s inverse
Answer:
To easily solve this question, we must realize that the graph of the relation is very similar to that of the expression
y = √(x-a) , where a>0
If we take a look at the image attached, we have plotted the graph of
y = √(x-1) , and its correspondent inverse function.
This means that the answer is the first option
Hamid has gained weight. He now weighs 88kg, which is 10% higher than his normal weight. What is his normal weight?
Please help, this question is on reverse percentage.
Answer:
79.2kg
Step-by-step explanation:
So first step is to find 10% of 88, which is 8.8. And 88kg is higher than his normal weight, so his original weight would be lower than 88kg. So you subtract. 88-8.8=79.2. His normal weight is 79.2kg.
Three families went to the movies together. The Smiths ordered two tubs of popcorn, one plate of nachos, and three drinks. They spent $65. The Langes ordered three tubs of popcorn, two plates of nachos, and five drinks. They spent $85. The Radfords ordered one tub of popcorn, one plate of nachos, and two drinks. They spent $40. Which system of equations matches their night at the movies?
Answer:
2t + n + 3d = 65
3t + 2n + 5d = 85
t + n + td = 40
Step-by-step explanation:
tubs of popcorn = t
plates of nachos = n
drinks = d
The Smiths: 2t + n + 3d = 65
The Langes: 3t + 2n + 5d = 85
The Radfords: t + n + td = 40
So, the correct answer would be the one including all 3 of these equations. :)
Answer:
The system of equations are:
[tex]2t + n + 3d = 65[/tex]
[tex]3t + 2n + 5d = 85[/tex]
[tex]t + n + 2d = 40[/tex]
Step-by-step explanation:
Consider the provided information.
let "t" represents tubes of popcorn, "n" represents nachos and "d" represents drink.
The Smiths ordered two tubs of popcorn, one plate of nachos, and three drinks. They spent $65. Which can be represents as:
[tex]2t + n + 3d = 65[/tex]
Langes ordered three tubs of popcorn, two plates of nachos, and five drinks. They spent $85. Which can be represents as:
[tex]3t + 2n + 5d = 85[/tex]
The Radfords ordered one tub of popcorn, one plate of nachos, and two drinks. They spent $40. Which can be represents as:
[tex]t + n + 2d = 40[/tex]
Thus, the system of equations are:
[tex]2t + n + 3d = 65[/tex]
[tex]3t + 2n + 5d = 85[/tex]
[tex]t + n + 2d = 40[/tex]
There were 425 tickets sold for the annual everglades middle school talent show. If this is 85% of the tickets available, how many tickets went unsold? A. 15. B. 75. C. 55. D. 35.
Answer:
425/85*100 = 500 thus: 500-425 =75 Tickets.
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
What is the value of p in the equation y^ = -4x?
ANSWER
p=-1
EXPLANATION
The given equation is
[tex] {y}^{2} = - 4x[/tex]
We compare with the general equation of the parabola with vertex at the origin.
[tex]{y}^{2} =4px[/tex]
Comparing the right hand side we have,
[tex]4px = - 4x[/tex]
Divide both sides by 4x
[tex] \frac{4px}{4x} = \frac{ - 4x}{4x} [/tex]
This implies that,
[tex]p = - 1[/tex]
what is the answer?? need help now!
Answer:
x = 16 and z = 84
Step-by-step explanation:
The 2 given angles are vertical and congruent, hence
7x - 16 = 6x ( subtract 6x from both sides )
x - 16 = 0 ( add 16 to both sides )
x = 16
Hence 6x = 6 × 16 = 96°
z and 6x form a straight angle and are supplementary, hence
z + 6x = 180
z + 96 = 180 ( subtract 96 from both sides )
z = 84
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length and the width
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by [tex]P = 2l + 2w[/tex]. We are given the perimeter of the pool along with the width.
[tex]P = 486[/tex]
[tex]w = l - 35[/tex]
From here, all we have to do is plug back into the original formula:
[tex]486 = 2l + 2(l - 35)[/tex]
Which can be further simplified as:
[tex]486 = 2l + 2l - 70[/tex]
[tex]486 = 4l - 70[/tex]
From here, all we have to do is add 70 to both sides of the equation and divide by four:
[tex]556 = 4l[/tex]
[tex]139 = l[/tex]
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
[tex]P = 2l + 2w[/tex]
[tex]P = 2(139) + 2(104)[/tex]
[tex]P = 278 + 208[/tex]
[tex]P = 486[/tex]
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.
Answer:
Length = 139 and Width = 104 .
Step-by-step explanation:
Given: The perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length.
To find: Find the length and the width .
Solution: We have given that
Let the length = x
According to question
The width of the pool is 35 feet less than the length.
width = x-35
perimeter = 2(length + width)
plugging the values
486 = 2(x + x-35)
486 = 2x + 2x - 70
486 = 4x - 70
On adding by 70 both side
486 +70 = 4x-70 +70
556 = 4x
On dividing by 4 both side
139 = x
so, length = 139 .
width = x -35 = 139- 35 = 104
Therefore, length = 139 and width = 104.
Which is an equation of the line that passes through (–1, –5) and (–3, –7)?
Question 8 options:
a)
y = x – 4
b)
y = –2x + 4
c)
y = 2x + 4
d)
y = –x – 4
a) y = x - 4
First, to find the rate of change [slope], do rise\run: -y₁ + y₂\-x₁ + x₂. Doing this will result in the slope being 1, and the ONLY answer that has a slope of 1, is the top choice.
Slope-Intercept Formula: y = mx + b [m represents slope].
I am joyous to assist you.
Judy works at a candy factory that makes Sugar Rush candy bars. She is in charge of quality control and has to make sure each candy bar has the correct mass. Each candy bar is required to weigh 12 grams, with a tolerance of 0.45 grams. What is the acceptable weight range for each candy bar?
1. Define a variable for this situation.
2. Write the absolute value inequality that describes the acceptable weight range for each candy bar.
3.Solve the absolute value inequality to find the acceptable weight range for each candy bar using numbers and symbols.
4. Using words, describe the possible acceptable weight range for each candy bar.
Step-by-step explanation:
1. x = acceptable weight of candy bar
2. |x - 12| ≤ 0.45
3. x - 12 ≤ 0.45, x - 12 ≥ -0.45
x ≤ 12.45, x ≥ 11.55
4. The acceptable weight range for each candy bar is between 11.55 grams and 12.45 grams.
Simplify 3(2x - 5).for me please
Answer:
6x-15
Step-by-step explanation:
3*2x= 6x
3*5=15
6x-15
Answer:
6x - 15
Step-by-step explanation:
3(2x - 5)
Distributive property
= 3(2x) + (3)(-5)
= 6x - 15
Evaluate 4(x - 3) + 5x - x2 for x = 2.
Answer:
The value of the expression for x=2 is 2.
Step-by-step explanation:
Consider the provided expression.
[tex]4(x - 3) + 5x - x^2 [/tex]
We need to find the value of expression for x=2.
Substitute the value of x=2 in provided expression and simplify as shown.
[tex]4(2 - 3) + 5(2) - 2^2 [/tex]
[tex]4(-1) + 10 - 4 [/tex]
[tex]-4 + 6 [/tex]
[tex]2 [/tex]
Hence, the value of the expression for x=2 is 2.
The numerical value of the expression 4(x - 3) + 5x - x² when x = 2 is 2.
What is the value of the expression when x = 2?Given the expression in the question:
4(x - 3) + 5x - x²
x = 2
To evaluate the expression 4(x - 3) + 5x - x² for x = 2, repalce all the occurences of x in the expression with 2 and simplify:
4(x - 3) + 5x - x²
Plug in x = 2:
4(2 - 3) + 5(2) - (2)²
Subtract 3 from 2:
4(-1) + 5(2) - (2)²
Take the square of 2:
4(-1) + 5(2) - 4
Multiply 4 and -1:
-4 + 5(2) - 4
Multiply 5 and 2:
-4 + 10 - 4
Add the 3 numbers:
2
Therefore, the value of the expression is 2.
Learn more about algebraic expressions here: https://brainly.com/question/28959918
#SPJ6
what is the slope of the line y=-2x+3
Answer: The slope is -2
Step-by-step explanation:
It is important to remember that the equation of the line in Slope-Intercept form is the following:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
In this case you can observe that the given equation of the line [tex]y=-2x+3[/tex] is written in Slope-Intercept form.
Therefore, you can identify that the slope "m" is:
[tex]m=-2[/tex]
And the y-intercept "b" is:
[tex]b=3[/tex]
If there are 6 serving in a 2/3 pound lb package of pound is in each serving
Answer:
[tex]\boxed{\math{\frac{1}{9}\text{ lb}}}[/tex]
Step-by-step explanation:
[tex]\text{Size of one serving} = \dfrac{\text{Total size}}{\text{No of servings}} = \dfrac{\frac{2}{3}\text{ lb}}{\text{6 servings}}\\\\\text{Change the 6 to a fraction and change divide to multiply}\\\\\dfrac{2}{3} \div 6 = \dfrac{2}{3} \times \dfrac{1}{6}[/tex]
[tex]\text{Cancel the 2s}\\\\\dfrac{2}{3} \times \dfrac{1}{6} = \dfrac{1}{3} \times \dfrac{1}{3}\\\\\text{Multiply numerators and denominators}\\\\\dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}\\\\\text{Each serving contains }\boxed{\mathbf{\frac{1}{9}\textbf{ lb}}}[/tex]
Find the image of (-2, 1) obtained by
translating 3 units down, followed by a
reflection over the y-axis.
Please help it is urgent!!!
The y-axis runs vertically, so changing the y-coordinate moves a figure up or down. Adding a number to the y-coordinate shifts the image up, while subtracting a number shifts the figure down.
So to translate 3 units down, we just subtract 3 from the y-coordinate.
Instead of (-2, 1) it's now (-2, -2) since 1 - 3 (units) = -2
Now, another way to say "reflect across the y-axis" is to say "reflect across the line x=0" since the line created by graphing x=0 is the same as the y-axis.
An image that is a reflection across the y-axis, or across the line x=0, will have opposite x-coordinates from the pre-image but identical y-coordinates.
Therefore, the rule for reflecting an image across the y-axis can be described as (x, y) → (−x, y).
So using our translated point (-2, -2) it now becomes (2, -2).
You didn't provide an image, however, all you need to find is the translated and reflected point that lies on (2, -2).
Answer:
( 2 , 1 )
Step-by-step explanation:
literally have no idea how the other person got -2 as the second answer lol
its 1 not -2 , ik cause i had this problem on my acellus and had to guess until i got it
The plane that contains points C and T can also be named plane .
Answer:
False
Step-by-step explanation:
You need 3 points to name a plane. 2 points is required to name a line
Answer:
It would be CUB
Step-by-step explanation:
On the coordinate plane shown below, points H and I have coordinates (-2,-3) and (3,2), respectively.
on
Use the Pythagorean theorem to determine the distance between points Hand I on the coordinate plane.
Answer:
[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
Here we are given two coordinates and we are required to fin d the distance between them not by using the distance formula but by using Pythagoras theorem.
Let us see how we do that.
We will take the help of graph in this. We draw a line parallel to x axis passing through H (-2,-3) and a vertical line passing through I(3,2)
Let us assume that these two lines intersect at point J whose coordinates will be (-3,-3)
Now using scale of the graph we can see that Distance HJ = 5 units and IJ= 5 units and ΔHIJ makes and Right angle triangle where ∠IJH = 90°
Hence we can apply Pythagoras theorem in this.
[tex]HJ^{2}+JI^{2}=HI^{2}[/tex]
[tex]5^2+5^2=HI^{2}[/tex]
[tex]HI^{2}=25+25[/tex]
[tex]HI^{2}=50\\HI=\sqrt{50}\\HI=\sqrt{25*2}\\HI=5\sqrt{2}\\[/tex]
Please refer to graph in attachment for further clarification.
algebra II engenuity
Answer:
First Option
Step-by-step explanation:
Given expression is:
[tex]\sqrt[4]{x^{10}}[/tex]
The radicand's exponent will be made multiple of 4 to make the calculations easy
So,
[tex]= \sqrt[4]{x^8 * x^2}[/tex]
The 4 outside the radical means that the power that will be multiplied with the exponents will be 1/4
So,
[tex]= x^{(8*\frac{1}{4})} * x^{(2*\frac{1}{4})}\\=x^2 \sqrt[4]{x^2}[/tex]
As x^2 couldn't be solved using radical, it will remain inside the radical.
So the correct answer is first option..
Answer: First option.
Step-by-step explanation:
Knwing that we must find which is the equivalent expression of the expression [tex]\sqrt[4]{x^{10}}[/tex], it is important to remember the Product of powers property, which states the following:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
The we can rewrite the expression:
[tex]=\sqrt[4]{x^8x^2}[/tex]
Remember that:
[tex]\sqrt[n]{a^n}=a[/tex]
Then we get this equivalent expression:
[tex]=x^2(\sqrt[4]{x^2})[/tex]
What is the measure of angle 3?
A. 120 degrees
B. 90 degrees
C. 45 degrees
D. 30 degrees
Answer:
c.45 degrees
Step-by-step explanation:
90 -180= 90
90÷2=45
For this case, we have by definition, that the four internal angles of a square measure 90 degrees. If we draw the diagonals of the square we have that the angles are divided between 2, that is, they go to measure 45 degrees.
So, according to this definition we have to:
[tex]Angle\ 3 = \frac {90} {2}\\Angle\ 3 = 45[/tex]
Answer:
The angle 3 is 45 degrees
Option C
What is the surface area?
Answer:
Surface Area of Cone = 200π cm^2
Surface Area of Right Prism = 17.5 ft^2
Step-by-step explanation:
32. We are given a figure of a cone and we are to find its surface area.
We know that the formula for the S.A. of cone is given by:
Surface Area of cone = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]
Substituting the given values in the above formula.
Surface Area of cone = [tex]\pi \times 8(8+\sqrt{15^2+8^2} )[/tex] = 200π cm^2
25. We are to find the surface area of a right prism.
Surface Area of Right Prism = Base Perimeter × height + 2(Base Area)
Base Perimeter = 2(4 + 1.5) = 11 ft
Height = 0.5 ft
Base Area = 4 × 1.5 = 6 ft
Substituting these values in the above formula.
Surface Area of Right Prism = 11 × 0.5 + 2(6) = 17.5 ft^2
Answer:
Surface area of cone = 200π cm
Surface area of prism = 17.5 ft²
Step-by-step explanation:
To find the slant height of cone
slant height l = √(r² + h²)
= √(8² + 15²) = 17
To find the surface area of cone
Surface are = πr² + πrl
= π*8² + π*8*17
= 64π + 136π
= 200π cm²
To find the surface area of prism
l = 4 ft
b = 1.5 ft and h = 0.5 ft
Surface area = 2(lb + lh + bh)
= 2[(4* 1.5) + (4*0.5) + (1.5*.5)
= 2(6 + 2 +0.7.5)
= 17.5 ft²
One fourth of all telephones at the office have built in speaker phones. One -half the phones with the built-in speaker phones have conference-call capability,how many of the phones in the office have both a speaker phone and a conference-call capability?
Answer:
[tex]\frac{1}{8}[/tex] of the phones in office has both a speaker phone and a conference-call capability
Step-by-step explanation:
Since total number of phones in the office is not given, the answer will be "in that terms".
let it be x
So built in speaker phones is (1/4)x
Hence conference call phones would be (1/2)(1/4x) = (1/8)x
Hence "1/8th of the phones in office has both a speaker phone and a conference-call capability"
Answer:
(1/8)x phones have both speaker phone and a conference call capability
Step-by-step explanation:
Let the total phones be x
It is given that one forth of the phones have in built speaker = (1/4)x
It is also given that one half of the phone having built in speaker also have conference call capability = (1/2) of (1/4)x
= (1/8)x
Therefore, (1/4)x - (1/8)x
= (1/8)x
(1/8)x phones have both speaker phone and a conference call capability.