A=πr²
pool=π(y-4)²=π(y²-8y+16)
total=π(y+4)²=π(y²+8y+16)
walkway=total-pool
walkway=π(y²+8y+16)-π(y²-8y+16)=
π(y²+8y+16-y²+8y-16)=
π(16y)=
16πy
first option is answer
Answer:
19.5
Step-by-step explanation:
The 43rd term of the sequence is 19.5
The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:
ANSWER
EXPLANATION
We want to evaluate
Use indices to rewrite the expression as:
We know that
So we rewrite the expression to obtain;
This gives us;
This simplifies to
Answer:
B
Step-by-step explanation:
f(x) = 4x - 7
What does f(x) mean? It means that whatever variable you have on the left which is (x), the same variable must be on the right.
So f(2) means that whatever variable is on the right, it must be replaced with 2 on the right. So .....
f(2) = 4(2) - 7
f(2) = 8 - 7
f(2) = 1
