Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² × 
= π × 18² × 
= 324π × = 54π in²
area of Δ ABC = 
× 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
Answer:
(2x+1)(x+7)
Step-by-step explanation:
2x2+15x+7
For a polynomial of the form ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15
.
Tap for more steps...
2x2+x+14x+7
Factor out the greatest common factor from each group.
Tap for more steps...
x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)
