To solve for the time an object takes to hit the ground, the equation
<em>y</em> <em>= y₀ + v₀t + ½gt²</em>, or just <em>0 = y₀ +½gt²</em> since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, <em>t = (−2y₀/g)^½.</em>
(-2*60/-9.8)^½ = 3.50 seconds.
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Answer: f(n) = {f(1)=-4
{f(n) = f(n-1) / 20 if n > 1
Or Answer B.
Step-by-step explanation:
The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...
3h + 18 + 15h = 180
Combine like terms
18h + 18 = 180
Subtract 18 to both sides
18h + (18 -18) = 180 - 18
18h = 162
Isolate h by dividing 18 to both sides
18h/18 = 162 /18
h = 9
Hope this helped!
Answer:
4) y = 9
5) x = -1
6) y = -5x − 9
Step-by-step explanation:
4) x = 3 is a vertical line with an x-intercept of (3, 0). It has an undefined slope.
A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0. Since this line passes through (3, 9), the equation of the line must be y = 9.
5) The y-axis is x = 0. A parallel line that includes the point (-1, -2) is x = -1.
6) Parallel lines have the same slope, so:
y = -5x + b
To find the value of b (the y-intercept), plug in the point (-2, 1):
1 = -5(-2) + b
1 = 10 + b
b = -9
y = -5x − 9