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labwork [276]
2 years ago
15

K' (-2.5, -0.5) is the imagine of P after a dilation centered at the origin with a scale factor of 1/4. What are the coordinates

of K?
Mathematics
1 answer:
user100 [1]2 years ago
5 0

Answer:

K (- 10, - 2 )

Step-by-step explanation:

To obtain the original coordinates multiply by the reciprocal of \frac{1}{4}

That is multiply the image coordinates by 4

K' (- 2.5, - 0.5 ) → K (-2.5(4), (- 0.5(4) ) → K (- 10, - 2 )

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miv72 [106K]

A geometry app shows lengths that add up to 27.4 units.


The Pythagorean theorem can be used to find the lengths of the segments. Each length is the square root of the sum of squares of the difference in x-coordinates and the difference in y-coordinates.


segment AB: length = √(3²+8²) = √73 ≈ 8.544

segment BC: length = √(7²+4²) = √65 ≈ 8.062

segment CA: length = √(10²+4²) = √116 ≈ 10.770


Then the total perimeter is the sum of these lengths:

... 8.544 +8.062 +10.770 = 27.376 ≈ 27.4 . . . . units

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2 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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alexandr1967 [171]

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Step-by-step explanation:

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