Guess ur not passing today
Answer: Slope of 2.
Step-by-step explanation:
Start at where the line meets on the y-axis, -7. Then work your way upwards until you see the line align with a value of x, like (1,-5). Then you see a trend of it going up 2 units and over 1. 2/1 or 2 is your slope.
Let f(x) = y = 5x - 7. Then f(3) = 5(3) - 7 = 8, and f(8) = 5(8) - 7 = 33
Then the ave. r. of c. of f(x) = 5x - 7 from x = 3 to x = 8 is
33 - 8 25
----------------- = -------- = 5 (answer)
8 - 3 5
Answer:


Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:

And that:

The formula of interest is
A = (1/2)r²·θ
You have r = 9 m, θ = 3π/5. Then the area is
A = (1/2)(9 m)²(3π/5) = 24.3π m²
The sector area is ...
A ≈ 76.3 m²