It's along the number line
The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Answer:
the slope is 3/4
Step-by-step explanation:
The formula for slope is
m = (y2 - y1)/(x2 - x1)
The two points are given as (-1, 1) or (x1, y1), and (3, 4) or (x2, y2)
Plug those value into the formula and simplify
m = (4 - 1)/(3 - (-1))
m = 3/(3 + 1)
m = 3/4
10 inches your hypotenuse is always going to be equal or bigger than the sum of the two sides
