Answer:
y = -4x - 38
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.
[tex]y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\[/tex]
Apply the distributive property to find the slope intercept form.
y + 2 = -4(x+9)
y + 2 = -4x - 36
y = -4x - 38
90 centimeters greater than 9 millimeters
Answer:
909 mm
Step-by-step explanation:
There are 10 mm in a cm
90 x 10 = 900
900 + 9 = 909 mm
(Unless you're asking if this is true/false; if so, it is true)
Classwork backside T
Answer:
17) Length of arc QPT = 20.9 inches
18) Length of arc QR = 12.6 feet
19) Length of arc PQR = 39.3 meters
20) x = 161°
21) x = 123°
22) x = 24 units
23) EB = 4 units
24) EB = 14 units
Step-by-step explanation:
∵ The length of any arc = Ф/360 × 2πr
where Ф is the central angle subtended by this arc
17) ∵ m∠RZQ = 60° ⇒ central angle
∵ m∠QZP = 90° ⇒ centeral angle
∵ m∠RZT = 180° ⇒ Z ∈ TR
∴ m∠TZP = 180 - 90 - 60 = 30°
∴ m∠QZT = 90 + 30 = 120° ⇒ central angle
∵ ∠QZT subtended by arc QPT
∵ m∠QZT = 120 , r = 10 inches
∴ Length arc QPT = 120/360 × 2π × 10 = 20.9 inches
18) ∵ m∠QZR = 60° ⇒ central angle subtended by arc QR
∵ r = 12 feet
∴ The length of arc QR = 60/360 × 2π × 12 = 12.6 feet
19) ∵ m∠PZR = 60° + 90° = 150°⇒ central angle subtended
by arc PQR
∵ r = 15 meters
∴ The length of arc PQR = 150/360 × 2π × 15 = 39.3 meters
20) ∵ SU = ST
∴ Measure of arc SU = measure of arc ST
∵ The measure of the circle is 360°
∵ Measure of arc UT = 38°
∴ x = (360 - 38) ÷ 2 = 161°
21) ∵ AB = AC
∴ Measure of arc AB = measure of arc AC
∵ The measure of the circle is 360°
∵ Measure of arc BC = 114°
∴ x = (360 - 114) ÷ 2 = 123°
22) ∵ The two arcs are equal
∴ Their chords are equal in length
∴ 2x - 12 = 36 ⇒ 2x = 36 + 12 ⇒ 2x = 48
∴ x = 24
23) In circle A
∵ AB is a radius and CD is a chord
∵ AB ⊥ CD
∴ AB bisects CD at point E
∵ AB = 20 , CD = 24
∴ CE = 24/2 = 12
In ΔAEC
∵ m∠ AEC = 90
∵ AC = 20 ⇒ radius
∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem
∴ AE = √(20² - 12²) = 16
∵ AB = 20 ⇒ radius
∴ EB = 20 - 16 = 4
24) In circle A
∵ AB is a radius and CD is a chord
∵ AB ⊥ CD
∴ AB bisects CD at point E
∵ AB = 35 , CD = 56
∴ CE = 56/2 = 28
In ΔAEC
∵ m∠ AEC = 90
∵ AC = 35 ⇒ radius
∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem
∴ AE = √(35² - 28²) = 21
∵ AB = 35 ⇒ radius
∴ EB = 35 - 21 = 14
At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft. How long is x?
Answer:
Step-by-step explanation:
(x/12) = (15/9)
x = 12 (15/9)
x = 20
Answer:
20 feet
Step-by-step explanation:
a = 9 ft., b = 15 ft., c = 12 ft.
c/a = ?,? times b = x
12/9 = 1.3, 1.3(15)= 20
a poster is 8in by 6in what are the dimensions if the poster is enlarged by a factor of 7/2
Answer:
[tex]21\ in[/tex] by [tex]63\ in[/tex]
Step-by-step explanation:
we know that
To find the dimensions of the enlarged poster, multiply the original dimensions of the poster by the scale factor
so
[tex]18(\frac{7}{2})=63\ in[/tex]
[tex]6(\frac{7}{2})=21\ in[/tex]
therefore
The dimensions of the enlarged poster are [tex]21\ in[/tex] by [tex]63\ in[/tex]
..........................
Answer:
jkdnfj dsbnjhfvbdsybvkdsbfvbhjvfblvsdjvdshjkvsdbhjkvndhjs
Step-by-step explanation:
what is the value of 5 1/2 + 7 3/4 - (-4)
your answer is 17 1/4 or 17.25 I think
Arthur is creating a garden in his backyard. He has less than 250 square yards of space to use. He plans to use 25 square yards to plant flowers. He plans to divide the remaining space into plots of equal size for vegetables. Each vegetable plot will be 30 square yards. How many plots of equal size can Arthur plan for vegetables? PLEASE HELPPPPPP!!
7 because subtract 25 from 250 the divide 225 by 30 to get 7.5 so he can only use 7 square yards
I will give brainliest please help
Answer:
828
Step-by-step explanation:
There are 150 more passenger cars than trucks on Highway. For every 9 passenger cars, there are 7 trucks. How many vehicles (trucks and passenger cars) are on the highway?
Answer:
The number of passenger cars is [tex]675[/tex]
The number of trucks is [tex]525[/tex]
Step-by-step explanation:
Let
x-----> the number of passenger cars
y-----> the number of trucks
we know that
[tex]x=y+150[/tex] ----> equation A
[tex]\frac{x}{y}=\frac{9}{7}[/tex]
[tex]x=\frac{9}{7}y[/tex] -----> equation B
equate equation A and equation B
[tex]\frac{9}{7}y=y+150[/tex]
[tex]\frac{9}{7}y-y=150[/tex]
[tex]\frac{2}{7}y=150[/tex]
[tex]y=525[/tex]
Find the value of x
[tex]x=525+150=675[/tex]
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
Write a function to model the amount in his account, A, over t years, assuming he makes no other deposits or withdrawals. Write your function in the form A=P(1 +r)^t
2Points
Use the math editor to write your function.
Answer the question in complete sentences.
Hint:
P is the initial amount in the account.
Change the interest rate from a percent to a decimal by moving the decimal 2 places to the left and substitute this number in for r.
Answer:
[tex]A=\$150(1.05)^{t}[/tex]
Step-by-step explanation:
we know that
The compound interest formula for this problem is equal to
[tex]A=P(1+r)^{t}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods in years
in this problem we have
[tex]P=\$150\\ r=5\%=0.05[/tex]
substitute in the formula above
[tex]A=\$150(1+0.05)^{t}[/tex]
[tex]A=\$150(1.05)^{t}[/tex]
Find the measure of an angle with measure between 0 degrees and 360 degrees that is coterminal with an angle measuring -865 degrees.
Answer:
[tex]\large\boxed{215^o}[/tex]
Step-by-step explanation:
[tex]\text{Coterminal angle with}\ \alpha:\\\\\alpha+360^o\ and\ \alpha-360^o.\\\\\text{Firs\ step}\\\\-865^o:360^o=2\ and\ rest\ -145^o\\\\-865^o=-145^o\\\\\-145^o+360^o=215^o[/tex]
Answer:
its 280
Step-by-step explanation:
:D
help please asap!!!!!!!!!!!!!!
Answer:
2w-4
Step-by-step explanation:
That is your answer. The word twice means 2 and decreased means minus. So your answer is 2w-4.
the two-way table shows the number of students in a school who like painting and/or dance.
Like Painting
Do Not Like Painting
Total
Like Dance
28
?
51
Do Not Like Dance
17
18
35
Total
45
41
86
What is the missing number in the table?
16
23
33
79
The total for liking and not liking painting is 51.
28 like painting, so to find the missing number subtract 28 from 51.
The missing number is 23
The missing number in the table is 23, option B is correct.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given table is below
Like Dance 28 ? 51
Do Not Like Dance 17 18 35
Total 45 41 86
We have to find the number of people who like dance when 18 donot like dance and total is 41.
We calculate this by removing 18 from 41 which gives the missing number x
x=41-18
=23
Hence, the missing number in the table is 23, option B is correct.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ3
Eric wants to collect data about the reading habits of his friends.
The table shows some questions Eric might ask.
Is each question a statistical question that Eric can ask to collect data?
Select Yes or No for each question
Question
?
Does Harry like to read?
0
What is the type of book that Raj likes the most?
0
How many books do each of my friends read each year?
0
How many pages are in each of the books on my friend's bookshelves?
0
Answer: No, No, Yes, Yes
Step-by-step explanation:
Answer: 1. No 2. No 3. Yes 4. Yes
Step-by-step explanation: I took the online homework and got 100%
and here is proof that I'm right.
Please mark me Brainliest : D
1. Add or Subtract. Show your work
a. (-2x^2-4x+13)+(12x^2+2x-25)
b. (7x^2+4x-26)-(-7x^2-3x+15)
2. Find the roots. List your steps correctly.
f(n)=n^2-6n-16
QUESTION 1a.
We want to add
[tex]( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)[/tex]
We group similar terms to get
[tex]- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13[/tex]
Simplify:
[tex]- 10{x}^{2} - 2x -12[/tex]
QUESTION 1b.
The given function is:
[tex](7x^2+4x-26)-(-7x^2-3x+15)[/tex]
Expand the parenthesis to obtain,
[tex]7x^2+4x-26 + 7x^2 + 3x - 15[/tex]
Group similar terms,
[tex]7x^2+7 {x}^{2} + 4x + 3x-26 - 15[/tex]
Simplify:
[tex]14{x}^{2} + 7x-41[/tex]
QUESTION 2
The given function is
[tex]f(n)=n^2-6n-16[/tex]
The zeros of this function is given by;
[tex]n^2-6n-16 = 0[/tex]
Split the middle term.
[tex]n^2-8n + 2n-16 = 0[/tex]
Factor;
[tex]n(n - 8) + 2(n - 8) = 0[/tex]
[tex](n - 8)(n + 2) = 0[/tex]
[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]
[tex]n = 8 \: or \: n = - 2[/tex]
A fruit punch contains 20% fruit juice is combined with 100% fruit juice how many ounces of each should be used to make 40oz of a mixture that is 60% fruit juice
Final answer:
To make a 40-ounce mixture that is 60% fruit juice, equal amounts (20 ounces each) of 20% fruit juice and 100% fruit juice should be used.
Explanation:
Calculating the Fruit Juice Mixture
To solve this problem, we'll use a system of equations. Let's assume that the amount of 20% fruit juice used is x ounces, and the amount of 100% fruit juice used is y ounces. We are trying to make 40 ounces of a mixture that is 60% fruit juice.
First, the total amount of the mixture should be 40 ounces:
x + y = 40
Second, the total percentage of fruit juice in the mixture should be 60%:
0.20x + 1.00y = 0.60 * 40
Now, let's solve these equations step-by-step:
From the first equation, we can say y = 40 - x.
Substitute y in the second equation: 0.20x + 1.00(40 - x) = 24.
Simplify: 0.20x + 40 - x = 24.
Combine like terms: 40 - 0.80x = 24.
Subtract 40 from both sides: -0.80x = -16.
Divide both sides by -0.80 to find x: x = 20.
Substitute x back into y = 40 - x to find y: y = 20.
Therefore, to achieve a 60% fruit juice mixture, 20 ounces of the 20% fruit juice and 20 ounces of the 100% fruit juice should be combined.
What is the answer to this
Answer:
The answer I would choose is C
Hope this helped :)
Answer:
B
Step-by-step explanation:
Multiplying f(x) by g(x)
= (2x² + x - 3)(x + 2)
Each term in the first factor is multiplied by each term in the second factor, that is
x(2x² + x - 3) + 2(2x² + x - 3) ← distribute both parenthesis
= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms
= 2x³ + 5x² - x - 6 → B
Please help ASAP!!!!!
Answer:
The Bottom Right Corner
Step-by-step explanation:
The number line represents 1 whole mile and is split in to 6 sections. So if Ms. P drives 2/6s she would drive 2 sections in that line
Jellybeans cost $0.80 per pound. Howard buys 412 pounds of jellybeans for himself and 1 pound for his friend. What is the total cost of the jellybeans Howard buys?
(A.) $4.00
(B.) $4.40
(C.) $4.50
(D.) $4.60
412 pounds for him + 1 pound for his friend = 413 total pounds x $0.80 per pound = $330.40
Sorry, I don’t see this as an answer choice.
Answer:
I am assuming you meant to say '4' instead of '412'. In which case the answer is A.
Step-by-step explanation:
4 + 1 x .80 is 4.00 even. Good luck in your endeavors!
Does the point (3,-1) lie on the circle (x+1)2 +(y-1)2=16?
Final answer:
After substituting the x and y values of the point (3,-1) into the circle's equation, it is determined that (3,-1) does not lie on the circle since the equation does not hold true.
Explanation:
To determine if the point (3,-1) lies on the circle given by the equation [tex](x+1)^2 + (y-1)^2[/tex]=16, we must substitute the x and y values of the point into the equation and see if the equation holds true.
Let's plug in x = 3 and y = -1:
[tex](3+1)^2 + (-1-1)^2[/tex]= 16
[tex](4)^2 + (-2)^2[/tex] = 16
16 + 4 = 20
Since 16 + 4 does not equal 16, the point (3, -1) does not lie on the circle
Can you list all the prime numbers (in base 7) up to 100?
Hint: There are only 21 of them.
2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95
Answer:
Step-by-step explanation:
Prime numbers are neat.
Here they are:
2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95
Best,
jrodt
Each side of a rhombus is 30 units long. One diagonal makes a 25 degree angle with a side. What is the length of each diagonal to the nearest tenth of a unit?
Answer:
25.4 units
54.4 units
Step-by-step explanation:
Given that,
length of each side of rhombus = 30 units
interior angle = 25 x 2
= 50°
other interior angle = (360-(50x2)) / 2 = 130°
Formula to use
c² = a² + b² - ab cosC
First diagonal
√(30² + 30² - 2*30*30*cos 50)
= 25.35 u
Second diagonal
√(30² +30² - (2*30*30*(cos 130)))
= √(1800-1800cos130)
= 54.37 units
PLEASE HELP
A plane intersects a cylinder parallel to the cylinder’s bases. What’s the area of the resulting cross section? Use 3.14 for π. Round your answer to the nearest tenth
Answer:
The area of the resulting cross section is [tex]78.5\ m^{2}[/tex]
Step-by-step explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]\pi=3.14[/tex]
[tex]r=10/2=5\ m[/tex] -----> the radius is half the diameter
substitute the values
[tex]A=(3.14)(5)^{2}=78.5\ m^{2}[/tex]
A box is 8 1/2 inches wide 12 3/4 inches long in 5 1/2 inches tall what is the total surface area of 3 such boxes
Step-by-step explanation:
Surface Area Formula: SA=2lw+2lh+2hw
SA is surface area. l is length, w is width, h is height. Make sure to follow PEMDAS and keep multiplication together before adding.
Now substitute values
2(12 3/4*8 1/2)+ 2(12 3/4 * 5 1/2)+ 2(5 1/2*8 1/2)
SA=450.5 inches squared
To find the total surface area of three identical boxes with given dimensions, calculate the surface area of one box using the formula for a rectangular prism and then multiply by three. The total surface area of three boxes is 1351.5 square inches.
Calculating the Total Surface Area of Three Boxes
The question involves finding the total surface area of three identical boxes, each with the dimensions 8 1/2 inches wide, 12 3/4 inches long, and 5 1/2 inches tall. To calculate the surface area of one box, we use the formula for surface area of a rectangular prism:
SA = 2lw + 2lh + 2wh
where SA is the surface area, l is the length, w is the width, and h is the height. Convert fractions to decimals for easy calculation:
Width (w) = 8.5 inches
Length (l) = 12.75 inches
Height (h) = 5.5 inches
Applying the dimensions:
SA = 2(12.75)(8.5) + 2(12.75)(5.5) + 2(8.5)(5.5)
Calculate and add up the areas for each pair of sides:
SA = 2(108.375) + 2(70.125) + 2(46.75)
SA = 216.75 + 140.25 + 93.5
Sum to find the total surface area for one box:
SA = 450.5 square inches
To find the total surface area for three boxes, multiply the surface area of one box by 3:
Total SA = 450.5 * 3
Total SA = 1351.5 square inches
The total surface area of three such boxes is 1351.5 square inches.
If point A is located at (-9,2)on the coordinate plane and point B is located at (-9,10)what is the distance between the two points?
Answer:
8 units
Step-by-step explanation:
The x coordinates don't change so you just subtract 2 from 10 to get the distance.
Answer:
8
Step-by-step explanation:
To calculate the distance d, using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 9, 2) and (x₂, y₂ ) = B(- 9, 10)
d = [tex]\sqrt{(-9+9)^2+(10-2)^2}[/tex]
= [tex]\sqrt{0^2+8^2}[/tex] = [tex]\sqrt{64}[/tex] = 8
Evaluate (b+c) if a=2,b=-5 and c= -3
It’s a good idea to get into the habit of using parentheses
when substituting numbers in for variables.
If you have parentheses in your original problem, change them to brackets as you substitute (to avoid confusion).
Now plug in the values for b and c into the problem.
So we have [(-5) + (-3)].
Simplifying inside the brackets, we get [(-8)].
So -8 is the answer.
Which are simplified forms of the expression cot^2θcos2θ. Select two of the following there must be two selections!
Answer:
Second Option and Fourth Option
Step-by-step explanation:
[tex]cot ^ 2(\theta) cos(2\theta)[/tex]
We know that:
[tex]cot(\theta) = \frac{1}{tan(\theta)}[/tex]
Then:
[tex]cot^2(\theta)cos(2\theta) = cos(2\theta)\frac{1}{tan^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =\frac{cos(2\theta)}{tan^2(\theta)}[/tex]
Also:
For the sum of angles identity:
[tex]cos(2\theta) = cos(\theta + \theta)\\\\cos(\theta + \theta) = cos(\theta)cos(\theta) - sin(\theta)sin(\theta)\\\\cos(2\theta) = cos^2(\theta) - sin^2(\theta)\\\\cos(2\theta) = (1-sin^2(\theta)) - sin^2(\theta)\\\\cos(2\theta) = 1-2sin^2(\theta)[/tex]
Then:
[tex]cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)}{sin^2(\theta)}[1-2sin^2(\theta)]\\\\cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)[1-2sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2\frac{cos^2(\theta)[sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2cos^2(\theta)[/tex]
In the solution of the equation 5-3x=2x+9,3x is added to the equation first. Which of the following should be done next?
Answer:
the correct answer is -9
Step-by-step explanation:
Name the following in the figure shown below the base or bases, the part labeled PQ and the figure itself
A circle, radius, sphere
B circle, diameter, cylinder
C none, radius, cylinder
D none, diameter, sphere
Answer: The answer is B because
The Circumference of a circle or a sphere is equal to 6.2832 times the Radius. The Circumference of a circle or a sphere is equal to 3.1416 times the diameter.
Number 36 please for geometry
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4