The midpoint of the segment:
(4, 7)
x=4 y= -7
Subtract 2d from both sides
simplify 10 + 2.5d - 2d to 10 + 0.5d
subtract 10 from both sides
simplify 4 - 10 to -6
divide both sides by 0.5
simplify 6/0.5 to 12
switch the sides
Answer: d = -12.
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
The anwser is a&c they go forward and up
Because you can’t divide something by zero!
Hope this helps!
