Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of rectangle A. Select all of the measurement pairs that could be the dimensions of rectangle B A. 4.5 inches by 1.5
B. 8 inches by 2 inches
C. 10 inches by 4 inches
D. 13.5 inches by 4.5 inches
E. 90 inches by 30 inches

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Ответ:

caplode7497

02.10.2020

Mathematics

-45/2 = -22.5

Step-by-step explanation:

The applicable rules of exponents are ...

$(a^b)(a^c)=a^{b+c}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\dfrac{1}{a^b}=a^{-b}$

These rules let us rewrite the expression as ...

$\dfrac{3x^{\frac{7}{2}}y^{-4}}{\sqrt[4]{16x^2y^4}}=\dfrac{3}{16^{\frac{1}{4}}}\cdot x^{\frac{7}{2}-\frac{2}{4}}y^{-4-\frac{4}{4}}=\dfrac{3}{2}\cdot x^3y^{-5}$

Now, we know the values of a, b, c:

a = 3/2, b = 3, c = -5

Their product is (3/2)(3)(-5) = -45/2 = -22.5.

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Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of rectangle A. Select all of the measurement pairs that could be the dimensions of rectangle B A. 4.5 inches by 1.5 B. 8 inches by 2 inches C. 10 inches by 4 inches D. 13.5 inches by 4.5 inches E. 90 inches by 30 inches