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3 years ago

What is the slope of a line that is perpendicular to the graph of y = 2x + 5? A-² B 72 C2 D-2

Mathematics

1 answer:

Greeley [361]3 years ago

7 0

The correct answer it’s C

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What is the length of the line segment with end points (5, -7) and (5, 11)

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We have the points (5, -7) and (5, 11). Substitute:

$d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18$

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Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>

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Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

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2 years ago

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How much water do you need to add to make each concentration?

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3 years ago

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What is the slope of a line that is perpendicular to the graph of y = 2x + 5? A-² B 72 C2 D-2​

What is the slope of a line that is perpendicular to the graph of y = 2x + 5? A-² B 72 C2 D-2