On a coordinate plane, a small rectangle has a length of 5 and width of 4. A larger rectangle has a length of 20 and width of 16. How would a scale factor of 0.25 be used to determine the lengths of the original figure? The scale factor is added to the scale figure’s lengths. The scale factor is subtracted from the scale figure’s lengths. The scale factor is multiplied by the scale figure’s lengths. The scale factor is divided into the scale figure’s lengths.

D. The scale factor is divided into the scale figure's lengths

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-Bee

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)