Answer: A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16
Fifty-two and eighty-sixth hundredths.
The 4 curved white corners = 1/4 of whole circle with radius 1/2×6
total white area = 4 [1/4 (pi)(3)^2] = 9pi = 28.27
So the shaded green region (S) = total square - total white area
S = 6×6 - 28.27 = 36 - 28.27 = 7.73 sq. m
17>n because 17 is more than n
Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
