Answer:
14.8
Step-by-step explanation:
Two lines are perpendicular if their slope m and m' satisfy the equation

The slope of the given line is 4, because the line is written in the slope-intercept y=mx+q, where m is the slope.
So, the perpendicular slope is

So, we want a line with slope -1/4 and passing through (-1,3). We can use the formula

for the line passing trough (a,b) with slope m:

Answer:
y+1=-3(x-4)
Step-by-step explanation:
first you want to plug in the numbers into the formula which y-y1=m(x-x1).
then you get y+1=-3(x-4)
The area of any circle is equal to

, where r is the radius.
We know that the diameter is 12. The radius is always half of the diameter, so the radius of our circle must be 6.
Substitute 6 for r in our equation and simplify.
π6² = π6×6 =
36π in²
Answer:
a. C = 12x + 110; b. $290
Step-by-step explanation:
a. The polynomial
Let L = cost of flip-flops
and S = cost of sandals
Then
C = L + S
= 40 + 4x + 70 + 8x
= 12x + 110
b. The cost
C = 12 × 15 + 110
= 180 + 110
= $290
The cost of making 15 flip-flops and 15 sandals is $290.