Unit Test Review
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10
Two numbers are 10 units away in different directions from
their midpoint, m, on a number line. The product of the
numbers is -99
Which equation can be used to find m, the midpoint of the
two numbers?
(m-5)(m + 5) = 99
(m-10)(m + 10) = 99
m2 - 25 = -99
m2 - 100 = -99
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option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have