3 years ago

Which choice is equivalent to the quotient below shown here when x>0?

Mathematics

1 answer:

scoundrel [369]3 years ago

8 0

Answer:

Step-by-step explanation:

step 1 - rationalize the denominator to get:

$\sqrt{35x^5}$ ÷ $\sqrt{7x^3}$ = ( $\sqrt{245}$ ·x^5/2·x^3/2) ÷ 7x³

= ( $\sqrt{5}$ $\sqrt{7}$ $\sqrt{7}$ ·x^4) ÷ 7x³

= 7 $\sqrt{5}$ ·x^4 ÷ 7x³

= $\sqrt{5}$ x

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The dashed triangle is the image of the solid triangle. The center of dilation is (−5, 7) .

adell [148]

Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12

After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3

The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25

Answer: The scale factor is 0.25