What expression is equal to 75

Mathematics

1 answer:

Luden [163]3 years ago

5 0

Answer:

5,625

Step-by-step explanation:

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Step-by-step explanation:

$\sqrt{(3 - ( - 4))^{2} + ( - 7 - 6)^{2} } \\ = \sqrt{(3 + 4)^{2} + {( - 13)}^{2} } \\ = \sqrt{ 49 + 169} \\ = \sqrt{218} \\ = 14.7648$

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Choose the correct simplification of the expression (2x^2y^6z^5)(5x^4y^5z^3)

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Alexandra's gross annual salary is $38,556. What is the maximum amount of rent she can afford to pay? Round your answer to the n

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Alexandra's gross annual salary is $38,556. The maximum amount of rent she can afford to pay can be determined by first solving for her monthly gross salary.

Monthly Salary = ($38,556/ 12 months) = $3,213

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3 years ago

Square root of 144 X^7 Y^5

LekaFEV [45]

The first step to solving this is to factor out the first perfect square
$\sqrt{12^{2} x^{7} y^{5} }$
now factor out the second perfect square
$\sqrt{ 12^{2} x^{6} X x y^{5} }$
then factor out the second perfect square
$\sqrt{ 12^{2} x^{6} X x y^{4} X y}$
the root of a product is equal to the product of the roots of each factor
$\sqrt{ 12^{2} }$ $\sqrt{ x^{6} }$ $\sqrt{ y^{4} }$ $\sqrt{xy}$
reduce the index of the radical and exponent with 2 of the first square root
12 $\sqrt{ x^{6} }$ $\sqrt{ y^{4} }$ $\sqrt{xy}$
reduce the index of the radical and exponent with 2 of the second square root
12x³ $\sqrt{ y^{4} }$ $\sqrt{xy}$
reduce the index of the radical and exponent with 2 of the third square root
12x³y² $\sqrt{xy}$
this means that the correct answer to your question is 12x³y² $\sqrt{xy}$ .
let me know if you have any further questions
:)

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3 years ago