Step-by-step explanation:
= -1 × 729
= -729
Answer:
A: y = 4x + 7
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = 4x + b
We are given a point (x, y) of (2, 15), so plug that in and solve for b.
15 = 4(2) + b
15 = 8 + b (simplify)
7 = b (subtract 8 from both sides to isolate b)
So the equation of our line is y = 4x + 7
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
