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vovikov84 [41]
3 years ago
9

* will mark brainliest *

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer: 23349 in^3

Step-by-step explanation:

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Which choice is equivalent to the quotient shown here for acceptable values of x?
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Answer: OPTION D

Step-by-step explanation:

You need to remember this property:

\frac{\sqrt{x} }{\sqrt{y} }=\sqrt{\frac{x}{y} }

And remember that:

\frac{a}{a}=1

Then, the first step is rewrite the expression:

\frac{\sqrt{30(x-1)} }{\sqrt{5(x-1)^2}} =\sqrt{\frac{30(x-1)}{5(x-1)^2}} }

Now, to find the corresponding equivalent expression, you need to simplify the expression.

Therefore, the equivalent expression is the following:

\sqrt{\frac{6}{(x-1)}} }

Finally, you can observe that this matches with the option D.

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How do you find the equation that is perpendicular to 2x-5y=20, passing through the point (7,-8)?
IrinaK [193]
To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y. 

2x - 5y = 20 ---> subtract 2x from both sides
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y = 2/5x - 4

Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept. 

y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b

Now use our new slope and new y intercept to write the new equation. 

y = -5/2x + 19/2
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Step-by-step explanation:

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