Answer:
D
Step-by-step explanation:
You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)
Answer:
0.707
Step-by-step explanation:
cos in the 4th quadrant is positive as well as in 1st quadrant.
cos(-45°) is in the 4th quadrant.
So cos40° must equal cos(-45°) which is 0.707.
Answer:
121.9
Step-by-step explanation:
I will use pi but not in the answer
use formula V=πr²h
(π)(3.5²)(5.5)
12.25 × 5.5=67.375 × π=211.6648...
1/2(4/3(π(3.5³))
4/3(42.875)=57.166...× π = 179.59438...
1/2(179.59438...) = 89.79719...
211.6648... - 89.79719... = 121.86761... ≈ 121.9
Answer: 7.85
Explanation: The formula you would use to find the area for the shaded sector is
degree / 360 • 3.14 • r^2
36 / 360 • 3.14 • 5^2
You would square it because we’re looking for area.