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3 years ago

If two distinct lines intersect, which MUST be true?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

Answer:

Answer options

A) the lines are parallel

B) the lines are perpendicular

C) the lines form angles at the intersection

D) the lines form right angles at the intersection

the answer is C

Step-by-step explanation:

I got it right on my test

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3 years ago

The area of one side of a skyscraper is 90,000 square feet. The area of the corresponding side of a scale model is 200 square in

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3 years ago

Determine all critical points the the function:

romanna [79]

$\bf y=x^2-32\sqrt{x}\implies \cfrac{dy}{dx}=2x-32\cdot \cfrac{1}{2}x^{-\frac{1}{2}}\implies \cfrac{dy}{dx}=2x-\cfrac{32}{2\sqrt{x}}
\\\\\\
\cfrac{dy}{dx}=2x-\cfrac{16}{\sqrt{x}}\implies \cfrac{dy}{dx}=\cfrac{2\sqrt{x^3}-16}{\sqrt{x}}\\\\
-----------------------------\\\\$

$\bf 0=\cfrac{2\sqrt{x^3}-16}{\sqrt{x}}\implies 0=2\sqrt{x^3}-16\implies 16=2\sqrt{x^3}
\\\\\\
8=\sqrt{x^3}\implies 2^3=\sqrt{x^3}\implies (2^3)^2=x^3\implies (2^6)^{\frac{1}{3}}=x
\\\\\\
2^{\frac{2}{1}}=x\implies \boxed{4=x}\\\\
-----------------------------\\\\
\textit{the other critical point at }\sqrt{x}=0\implies \boxed{x=0}$

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3 years ago