Step-by-step explanation:
f(x) = x² - x³
f(-2) = (-2)² - (-2)³
= 4 - (-8)
= 4 + 8 = 12
Here is a note: the sum of the 2 shorter sides have to be greater than the longest side. Sorry that i cant help more.
Answer: 7
Step-by-step explanation:
As tangents drawn from a common external point to a circle are congruent,
- 8x - 7 = 6x + 7
- 2x - 7 = 7 [subtract 2x from both sides]
- 2x = 14 [add 7 to both sides]
- x = 7 [divide both sides by 2]
Answer: 15
Step-by-step explanation:
x:9 = 25:15
x = 25:15*9 = 15
Answer:
28.4in³
Step-by-step explanation:
Volume of the square based pyramid = L²H/3 where;
L is the length of a side of the square base
H is the height of the prism
Given
Perimeter of the base = 13.4 in
Height of the pyramid = 7.6in
First we need to get the length of the square base
Perimeter of a square = 4L
13.4 = 4L
L = 13.4/4
L = 3.35 in
Next is to find the required volume of the pyramid
V = L²H/3
V = 3.35²(7.6)/3
V = 85.291/3
V = 28.4 in³
Hence the volume of the pyramid to nearest tenth is 28.4in³