Answer:
Step-by-step explanation:
Let the number be x
<u>Then we have the equation</u>
- (2x + 6)*(-3) = -3x + 54
- -6x - 18 = -3x + 54
- 6x - 3x = -18 - 54
- 3x = -72
- x = -72/3
- x = - 24
Answer:
Step-by-step explanation:
r = 8 in
h = 5 in
Volume of cylinder = πr²h
= π * 8 * 8* 5
= 320π in³
Answer:
14 inches
Step-by-step explanation:
Using this information, we can form an equation.
Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.
(This is the equation you'd want to do to get the answer)
3x + 3 * 6 = 60
Simplify:
3x + 18 = 60
Same to both sides
3x = 42
Isolate x:
x = 14
Let me know if you have any questions
Answer:
The coordinates of B' is are (6,-13).
Step-by-step explanation:
A) The T-shirt will be at its maximum height when the velocity is at zero, because its velocity will be at zero when it reaches the top of its arc.
You have the position function, y= -16t^2 + 72t + 5, so the velocity function is its derivative, v= -32t + 72.
Set that equal to zero, 0= -32t + 72, and solve for t.
0= -32t + 72
32t = 72
t = <u>9/4</u> or <u>2.25 seconds</u>.
b) Plug what you found in part a) back into your position equation.
-16(2.25)^2 + 72(2.25) + 5 = -81 + 162 + 5 = <u>86 feet
</u>
c) The t-shirt's lowest point is 5 feet above the ground (that's the '+ 5' in the position equation) and its highest point is 86 feet, which you found in part b). So the range is <u>[5,86]</u>
