Answer:
Step-by-step explanation:
5.577
Answer:
The equation of the line would be y = -3/2x + 7/2
Step-by-step explanation:
In order to find this, we must first use the slope formula with the two point to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - -1)/(-1 - 3)
m = 6/-4
m = -3/2
Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y + 1 = -3/2(x - 3)
y + 1 = -3/2x + 9/2
y = -3/2x + 7/2
<span>22(1 + 4 + 9 + 16 +251 + 4 + 9 + 16 + 25 + 3636)
= 87362 units^2</span>
Correct question is;
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
Answer:
sinθ = (√544)/25) and cosθ = 9/25
Step-by-step explanation:
We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;
(9/25)² + y² = 1²
y² = 1 - (9/25)²
y² = (625 - 81)/25²
y² = 544/25²
y = ±(√544)/25
We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.
Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]
In unit circle geometry, cosθ = x, while sinθ = y.
Thus; sinθ = (√544)/25) and cosθ = 9/25