F ( -1 ) = 2 · ( -1 )³ - 3 · ( -1 )² +7 =
= 2 · ( -1 ) - 3 · 1 + 7=
= - 2 - 3 + 7 = 2
Answer:
13y + 1
Step-by-step explanation:
8y + 5y = 13y
3 - 2 = 1
13y + 1
It’s 1. (4x - 12 + 12 = 16 + 12)
Answer:
The shorter piece is 24 inches long
Step-by-step explanation:
When cut into 2 pieces, the longer piece is 48 inches, twice the size of the smaller one, thus the answer is 24 inches
Given the figure:
The circle has a radius of 6 units. An included angle of 120 degrees. The shaded portion is outside the circle with sides tangent to the circle.
We can draw two right triangles by drawing a line bisecting the included angle. Then, we use the Pythagorean theorem to solve for the measurement of the two sides.
let x = measure of the side of the shaded portion
tan (60) = opposite / adjacent
tan (60) = x / 6
solve for x, x = 10.39
let s = arc
s = rθ
s = 6 * 120*pi/180
s = 4*pi
then solve for the area of the shaded portion. <span />
