Answer: A (-2,0) --> (-8,0)
B(-4,4) --> (-16,16)
C(1,6)--> (4,24)
Step-by-step explanation:
Multiply each coordinate by 4
A (-2,0) --> (-8,0)
B(-4,4) --> (-16,16)
C(1,6)--> (4,24)
The new locations of the coordinates after dilation by a scale factor of 4 as
A (-2,0) ⇒ (-8,0)
B(-4,4) ⇒ (-16,16)
C(1,6) ⇒ (4,24)
What is dilation?Dilation is a process for creating similar figures by changing the size.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
As we know dilation factor is the ratio of sides in the original image and the image after dilation.
Dilation factor = 4
Multiply each coordinate by 4
A(-2,0) ⇒ (-8,0)
B(-4,4) ⇒ (-16,16)
C(1,6) ⇒ (4,24)
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Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
a. Write a formula for the area A
of a triangle.
b. Solve the formula for b.
c. Use the new formula to find the
base of the triangle.
A = 36 mm2
h = 6 mm
b
Answer:
A = 1/2 b * h
b = 2A / h
b = 12
Step-by-step explanation:
Remark
The formula starts out as
A = 1/2 * b * h
You want to rearrange it to show b by itself.
Formula
Multiply by 2
2A = b * h
Divide by h
2A/h = b
Part C
b = 2A / h
A = 36 mm^2
h = 6 mm
b = 2*36 / 6
b = 72 / 6
b = 12 mm
What is the positive solution to this equation?
4x2 + 12 x= 135
I NEED HELP !!!! PLEASEEEEEEEEEEEE
ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?
Answer:
18 ft and 24 ft
Step-by-step explanation:
3:4
6:8
9:12
12:16
15:20
18:24, 18+24=42
The two lengths into which the cable is divided is 18 and 24.
Given that,
A cable that is 42 feet long is divided into lengths in the ratio 3:4.Based on the above information, the calculation is as follows:
The first length be
[tex]= 42 \times 3 \div (3 + 4)[/tex]
= 18
And, the second length be
[tex]= 42 \times 4 \div (3 + 4)[/tex]
= 24
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Please hurry! This is due soon.
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]
[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]
[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]
[tex]2x=e^7^y+\sqrt{3}[/tex]
[tex]e^7^y=2x-\sqrt{3}[/tex]
[tex]7y=ln(2x-\sqrt{3})[/tex]
[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
[tex]g(f(x))[/tex]
[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]
[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]
2s cancel.
[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]
The natural log and e cancel.
[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]
[tex]\sqrt{3}[/tex]s cancel.
[tex]\frac{7x}{7}[/tex]
7s cancel.
[tex]x[/tex]
Hope this helps!
On Monday, the baker makes 36 blueberry muffins. What is the total number of muffins that the baker makes on Monday?
Answer:
90
Step-by-step explanation:
Answer:
am preety sure the total s 40%
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{99 - ( - 1)} [/tex]
Answer:
10
Step-by-step explanation:
Note that when there are two negative signs directly next to each other, you are adding:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]
Simplify:
[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]
10 is your value for the given expression
Answer:
± 10Step-by-step explanation:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10The possibility of an event happening is its ______.
Answer:
Probability
Step-by-step explanation:
Answer:
Probability.
Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.
Factor the following...
[tex]9n^2-34n-8[/tex]
Please show work
Step-by-step explanation:
9x8= 72
therefore 36 x 2 are the products
9 n^2 - 36n + 2 n -8
9 n( n-4) + 2( n- 4)
therefore the two factors are
( 9 n +2) ( n-4)
The total cost, c, of belonging to two different gyms for m months is shown on the graph. The lines intersect at the point (4,250). Enter numbers in the boxes to explain what the solution means in the situation.
Answer: at 4 months the cost for each gym is $250
Step-by-step explanation:
At 4 month, the cost for each gym is $250
The y axis of the graph represents the membership cost and the x axis represent the number of month.
The lines representing gym A and B intersect at (4, 250).
The point where the lines intersect is when the cost and the month for each gym are the same.
Therefore, at 4 month, the cost for each gym is $250
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need help due today .
Answer:
Radius=7.5cm
Diameter=15cm
Step-by-step explanation:
The radius is half of the diameter which is the length of the circle measured across (or through I guess), so the radius is what is shown 7.5, and the radius doubled (x2) is the diameter so 7.5x2 = 15.
HOPE THAT HELPS AND MAKES SENSE! :)
What is the volume of this composite solid?
A. 156 cubic meters
B. 86 cubic meters
C. 136 cubic meters
D. 84 cubic meters
Answer:
C
Step-by-step explanation:
first cube :
4 × 3 × 6 = 72 m³
second cube :
4 × 4 × 4 = 64 m³
sum of both cubes :
72 + 64 = 136 m³ ( C )
Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is
Answer:
point form : (9,2) equation form : x=9 y=2
Step-by-step explanation:
HELPPME PLEASE ASAP i will give brainliest
Answer:
don't know but I think these is the answer =
17
Step-by-step explanation:
90 - 73 = 17
Identify the volume of the composite figure. Round to the nearest tenth.
Answer:
474.5 ft ³
Step-by-step explanation:
1) Find the volume of the cube
[tex]A=l^3[/tex] where l is the side length
Plug in 9 ft as l
[tex]A=9^3\\A=729[/tex]
Therefore, the volume of the cube is 729 ft³.
2) Find the volume of the cylinder
[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
3) Subtract the volume of the cylinder from the volume of the cube
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
I think It's A
Step-by-step explanation:
PLZ HELP ME LOL
A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning
can someone help with this i don't get it
Answer:
Lord have mercy thats a bunch of numbers I woud help but i dont know how to start
Step-by-step explanation:
Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers
Answer:
7,5,3,1
Step-by-step explanation:
What is z4 + z4 + z4 + z4?
Answer:
4z
Step-by-step explanation:
5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
Which equation demonstrates the multiplicative identity property?
Answer:
B. (-3+5i)(1)= -3+5i
Step-by-step explanation:
The multiplicative identity property states that any number or polynomial times 1 will be equal to itself. In answer B, a polynomial is multiplied by 1 and then equals itself. None of the other answers have 1 as a term, and therefore cannot be correct.
Show that (16 1/4)3 and (16 3)1/4 are equivalent
Answer:
They are both 12
Change 16 1/4 into 4.
4 • 3
12
16 • 3 is 48
1/4 of 48 is 12
Hope this helps
1. a+b+c+d
2. -a+b-c+d
3. ab+cb
4. ab-bc
5. ba+da
Answer:
1 a+b+c+d
=(ab + c+ d)
=ab+ a+c+ a+d
What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.
Question:
The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.
Answer:
The equivalent is 37.5%
Step-by-step explanation:
Given
[tex]\frac{3}{8}[/tex]
Required
The equivalent
The model is not shown, but the question can still be solved.
We have:
[tex]\frac{3}{8}[/tex]
Multiply by 100%
[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]
[tex]\frac{3}{8} = 0.375 * 100\%[/tex]
[tex]\frac{3}{8} = 37.5\%[/tex]
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
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Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day
Answer:
53°
Step-by-step explanation:
not sure what you mean by nearest degree but use the cosine ratio to get the answer.
in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75
<C=cos^1 (45/75)
<C= 53°