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Gre4nikov [31]
3 years ago
11

What is the scale factor of a triangle with a vertex of A(-6,4) that has been dilated with the center of dilation at the origin

so the vertex of its image is A’(-24,16)?
Mathematics
1 answer:
swat323 years ago
8 0

Answer:

The scale factor is 4

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

 figure does not change.

- The scale factor, measures how much larger or smaller

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In the problem

- The vertex A of the triangle is (-6 , 4) and its image A' is (-24 , 16)

∵ -24 ÷ -6 = 4

∵ 16 ÷ 4 = 4

∴ The scale factor is 4

∵ 4 > 1

∴ The image of the triangle will be larger

* The scale factor is 4

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A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represe
Charra [1.4K]

Answer:

(627.50-95)/m

Step-by-step explanation:

The total value of money earned was $627.50. Then subtract the amount of money the popcorn cost, $95.00. This subtraction would make the difference of $532. This equation would be in parentheses because you have to get the difference before you can divide the profits among the club members. After you put that into parentheses, divide the difference by M. This will give you the equation (627.50-95.00)/m hope this helps!

4 0
2 years ago
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If a runner runs at a constant rate of 6 miles per hour how much time would it take for her to run 9 miles
Neko [114]

Answer:

1  1/2

Step-by-step explanation:

divide 9 by 6 (because its 6 miles per hour) you get 1  1/2. so it would be 1  1/2 hours or 1/5 hours

5 0
2 years ago
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WILL GIVE BRAINLIEST
Papessa [141]
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m

velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t

acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18

</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s

acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
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6 0
3 years ago
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Please hellp<br><br> Will give 100 extra point if right and brainliest
mixer [17]

Answer:

1) 500     2) $ 1000 debt    3) $350    4) $2500 debt

Step-by-step explanation:

profit = .5x -250  

1)  O      = .5x -250

250 = .5x

500 = x      number to break even

2)   f(900) =  .5 (900) -250 =  $200

       from the graph  g(200) = total debt = $1000

3)   f(x) = -75  = .5x-250    results in    x = $ 350

4)    f(500) = .5(500) - 250 = 0  

      from the graph, this corresponds to total debt g (f(500) = $2500 debt

       

7 0
1 year ago
Solve the system by substitution. x – 3y = 4 2x – 6y = 8 A. no solution B. x = 4, y = 0 C. x = 0, y = 0 D. infinite solutions
ruslelena [56]

Answer:

The correct answer is option D.

Step-by-step explanation:

if the pair of equation has one or more than one solution then it is said to be consistent.

  • Only one solution , then independent system.
  • More than one solution , then dependent system.

if the pair of equation has no solution then it is said to be inconsistent.

Given : x - 3y = 4 ...[1]

2x - 6y = 8 ...[2]

Solution :

Solving equations with the help of Substituting methods:

x - 3y = 4

x = 4 +3y

Putting value of x from [1] in [2]:

2(4+3y)-6y=8

8+6y-6y=8

6y=6y

0 = 0

Given , system of equation will have infinite solution. Hence consistent and dependent.

The given system of equations will have infinite solutions.

4 0
3 years ago
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