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KATRIN_1 [288]
3 years ago
10

Line segment DF is dilated from the origin to create line segment D’F’ at D’ (0, 10) and F’ (7.5, 5). The original coordinates f

or line segment DF are D (0, 4) and F (3, 2). What scale factor was line segment DF dilated by? A: 0.5 B: 0.75 C: 1.5 D: 2.5
Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer: D. 2.5

Step-by-step explanation:

Given : Line segment DF is dilated from the origin to create line segment D’F’ at D' (0, 10) and F' (7.5, 5).

The original coordinates for line segment DF are D(0, 4) and F(3, 2).

We know that the scale factor(k) is the ratio of the coordinates of the image points and the original points.

Then, k=\dfrac{\text{ y-coordinate of D'}}{\text{y-coordinate of D}}\\\\=\dfrac{10}{4}=\dfrac{5}{2}=2.5

Hence, the scale factor was line segment DF dilated by = 2.5

Musya8 [376]3 years ago
4 0

Answer:

The answer to this is 2.5

Step-by-step explanation:

Well 1 i took the test and 2 if you mulitply the otginial coordinates by 2.5 then you will get the new cordiates

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4 0
3 years ago
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4 0
2 years ago
Read 2 more answers
If Zach has 4 times as many dimes as quarters and they have a combined value of 455 cents, how many of each coins does he have?
aliya0001 [1]

<u>ANSWER: </u>

Zach has 28 dimes and 7 quarters.

<u>SOLUTION: </u>

Given, Zach has 4 times as many dimes as quarters  

And they have a combined value of 455 cents,  

We need to find how many of each coins does he have?

Let, the number of dimes be x and number of quarters be y.

Then, x = 4y → (1)

Total combined value = 455 cents

x(value of one dime) + y(value of one quarter) = 455 cents

x(10 cents) + x(25 cents) = 455 cents

10x + 25y = 455 → (2)

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10(4y) + 25y = 455

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y = 7

substitute y value in (1)

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Hence, zach has 28 dimes and 7 quarters.

4 0
3 years ago
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