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Gemiola [76]
3 years ago
7

Malaya is making a collage of her birthday party photos and she wants to add an 8 x 10 inch. photo. Since there is not enough sp

ace left on the collage, she must trim the photo. If the scale factor from the original to the trimmed photo is 5:4, the new dimensions of the photo are ______.
A. 7 x 9 in
B. 6.2 x 7.6
C. 6.4 x 8 in
D. 5.4 x 6.8
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

The answer is C. 6.4 X 8 in

Step-by-step explanation:

If the scale factor from the original to the trimmed photo is 5:4

The statement above just means the scale of the old dimension is 5 while the scale of the new dimension is 4.

To get the new dimensions, multiply each of the old dimensions by 4/5

4/5 X 10 = 8

4/5 X 8 = 6.4

Therefore the new dimension is 6.4 X 8 in

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Answer:

  • (x + 10)² + (y + 4)² = 232

Step-by-step explanation:

<h3>Given </h3>
  • Center = (-10, -4)
  • Point on circle = (4, 2)
<h3>To find </h3>
  • The equation of circle
<h3>Solution</h3>

<u>Remember the standard equation of circle:</u>

  • (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius

<u>We have</u>

  • h = -10, k = -4

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>

  • r² = (-10 - 4)² + (-4 - 2)²
  • r² = 14² + 6²
  • r² = 232

<u>So the equation is:</u>

  • (x + 10)² + (y + 4)² = 232
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Answer:

A

Step-by-step explanation:

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