Answer:
10
Step-by-step explanation:
-2+(-3)*(-8+4)
-2+(-3)*(-4)
-2+12
10
Answer: x=3 and y=5
Step-by-step explanation: 11x-6y=3, 5x-8y=-25
11x-6y+6y=3+6y
11x/11=3/11+6y/11
x=3+6y/11
5(3+6y/11)-8y(11)/11
5(6y+3)-88y/11
30y+15-88y/11
88y-30y
58y
11(15-58y)/11=11(-25)
15-58y-15=-275-15
-58y/-58=-290/-58
y=5
x=3+6(5)/11
3+30
33
33/11
x=3
x=3, y=5
Answer:
84π sq. units
Step-by-step explanation:
radius of little orange circles = 2
There is a total of 3 little orange circles (1 + 1 + 1/2 + 1/2).
Total area of 3 little orange circles = 3*π*2^2 = 12π
radius of 4 medium white circles = 3
Total of area of 4 medium white circles = 4*π*3^2 = 36π
radius of middle white circle = 6
Area of middle white circle = π*6^2 = 36π
Radius of the big circle = 12
Area of the big circle = π*12^2 = 144π
Area of orange = area of big circle - area of middle white circle - area of 4 medium white circles + area of 3 little orange circles = 144π - 36π - 36π + 12π = 84π
48y and 36xy....the GCF would be 12y...because the highest number that goes into both 36 and 48 is 12. And the only variable that appears in both expressions is y.
Answer:
(-2, -2)
Step-by-step explanation:
Compare the two functions ...
f(x) = -|x +2| -2
f(x) = a·g(x -h) +k
where f(x) is a translation and scaling of function g(x). Here, you have ...
g(x) = |x|
The scale factor is a = -1.
The horizontal shift is h = -2.
The vertical shift is k = -2.
_____
The original vertex at (0, 0) has been shifted by (h, k) to ...
(0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).