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2 answers:
<h3>Answer: 15/17</h3>
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Explanation:
A drawing may help. See the image below.
Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.
The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".
The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.
The sine of an angle is the ratio of the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(W) = VX/WV
sin(W) = 15/17
Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.
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Answer:
Step-by-step explanation:
The equation for a linear function found from two given points is: y = mx + b, where m = slope and b = y-intercept. You can find slope from slope formula:
Given points (5, -4) and (-3, 2):
Using the value m = and the point (5, -4) for x and y:
y = mx + b
-4 = 5(-3/4) + b
-4 = -15/4 + b
-4 = -3.75 + b
-1/4 = b