Answer:
The southwest corner of the garden will be 2 feet south and 3 feet west of the tree. A circle has a center at (3,5). What is the area of the circle to the nearest tenth of a square unit? Which of the following could be the vertices of the triangle? A garden that is 5 feet by 6 feet has a walkway that is 2 feet wide around it.
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
Answer:
(-4,0)(4,-4)
slope(m) = (-4 - 0) / (4 - (-4) = -4/(4 + 4) = -4/8 = -1/2. A parallel line will have the same slope.
y = mx + b
slope(m) = -1/2
(2,3)...x = 2 and y = 3
now we sub and find b, the y int
3 = -1/2(2) + b
3 = -1 + b
3 + 1 = b
4 = b
y = -1/2x + 4
1/2x + y = 4....multiply by 2
x + 2y = 8 <== ur parallel line
In general, if we have
then
Thus, the first answer choice is correct.