
Since

, it follows that

where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
X 3x+7 y (x, y)
1 3(1) +7 10 (1,10)
2 3(2) +7 13 (2,13)
3 3(3) +7 16 (3,16)
4 3(4) +7 19 (4,19)
Answer: 4
Step-by-step explanation:
Hope this helps