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3 years ago

What is the square root of -72x?

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Answer:

$6i \sqrt{2x}$

Step-by-step explanation:

In order to this, you have to find two factors, where one of them is a perfect square, and the other is not, and those numbers are 2 and 36, and since we are dealing with a negative inside the root, it is considered imaginary, or iota. So, we do as follows:

$\sqrt{ -72x} \\ \sqrt{ -(2)(36)(x)} \\ 6i \sqrt{2x}$

The negative comes out as iota, and since x does not have another x of some sort to pair up with, we leave it inside the radical.

I am joyous to assist you anytime.

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Algebraically determine if the relation y = x3 − 4x is symmetric with respect to the x-axis, y-axis, the origin or has no symmet

Gala2k [10]

$\bf y=x^3-4x
\\\\\\
\textit{check for y-axis symmetry}\\\\
\stackrel{x=-x}{y=(-x)^3-4(-x)}\implies y=(-x)(-x)(-x)+4x\implies \boxed{y=-x^3+4x}
\\\\\\
\textit{checking for x-axis symmetry}\\\\
\stackrel{y=-y}{(-y)=x^3-4x}\implies -y=x^3-4x\implies \boxed{y=-x^3+4x}
\\\\\\
\textit{checking for origin symmetry}\\\\
\stackrel{x=-x\qquad y=-y}{(-y)=(-x)^3-4(-x)}\implies -y=(-x)(-x)(-x)+4x
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-y=-x^3+4x\implies y=\cfrac{-x^3+4x}{-1}\implies \boxed{y=x^3-4x}\quad \checkmark$

notice, if you replace x = -x and y = -y accordingly for each test for symmetry, if the resulting function, is equal to the original function, then it has that type of symmetry.

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3 years ago

11X - 3/6 = 5 Solve for X

german

Answer:

X = 1/2

Step-by-step explanation:

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3 years ago

How are improper fractions and mixed numbers different from proper fractions?

madreJ [45]

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3 years ago

The number line of - 11/4,-2,2/5,-3/5

tresset_1 [31]

Answer:

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= 2 1/

= 2.2Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago