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Serga [27]
3 years ago
13

Find the slope and the y-intercept for y=-5x

Mathematics
1 answer:
aleksley [76]3 years ago
4 0
Slope= -5
Y-intercept= 0
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BRAINLIEST!!!
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Answer:  \frac{8}{17} or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S =  60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32

Thus, the side opposite to S = 32 units

Now,  the trigonometric ratio for sin S is given by :-

\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}

Hence, the  trigonometric ratio for sin S =\frac{8}{17} or 8:17

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357/42=8.5

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