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3 years ago

Evaluate the following expression:p/-3 + (-8)= -8

1 answer:

7 0

P/-3+(-8)=-8
p/-3-8=-8
Add 8 to each side
p/-3-8+8=-8+8
p/-3=0
Multiply both side by 3
p/-3(3)=0(3)
p=0
Check:
p/-3+(-8)=-8
Substitute p with 0
0/-3+(-8)=-8
0-8=-8
-8=-8. As a result, p=0. Hope it help!

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Step-by-step explanation:

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3 years ago

What is the exact value of cos(7pi/8)

Damm [24]

Answer:

cos ( $\frac{7\pi}{8}$ ) = $-\frac{\sqrt{2+\sqrt{2}}}{2}$

Decimal value: −0.9238795325...

Step-by-step explanation:

Write,

cos $\frac{7\pi}{8}$ = cos $(\pi-\frac{\pi}{8})$ = −cos $\frac{\pi }{8}$

Now using half angle formula, cos(x) = 2 cos²( $\frac{\pi }{2}$ ) − 1, we can write cos $\frac{\pi }{4}$ = 2

cos²( $\frac{\pi }{8}$ ) − 1

This means $\frac{1}{\sqrt{2}}$ + 1 = 2 cos²( $\frac{\pi }{8}$ )

2 cos²( $\frac{\pi }{8}$ ) = $\frac{\sqrt{2}+1}{\sqrt{2}}$

cos²( $\frac{\pi }{8}$ ) = $\frac{\sqrt{2}+1}{2\sqrt{2}}$

cos( $\frac{\pi }{8}$ ) = $\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}$

Simplify,

$\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}$ = $\sqrt{\frac{2+\sqrt{2}}{4}$ = $\frac{\sqrt{2+\sqrt{2}}}{2}$

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Which methods could you use to calculate the y-coordinate of the midpointof a vertical line segment with endpoints at (0,0) and

vodka [1.7K]

Answer:

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Given two end points of line segment that are (0,0) and (0,15). If we have to find the y-coordinate of midpoint of a vertical line segment then we apply mid point formula.

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Hence, y-coordinate of midpoint of line segment joining the endpoints (0,0) and (0,15) is 7.5

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