Answer:
y = 13
Step-by-step explanation:
If it's a parallelogram then its consecutive angles are supplementary (add up to 180°).
6x - 12 + 132 - x = 180°,
5x + 120 = 180
5x = 60
x = 12
6x - 12 = 6(12) - 12 = 72 - 12 = 60
Parallelogram, opposite angles are equal
so
6y + 18 = 6x - 12
6y - 18 = 60
6y = 78
y = 13
Answer:
B
Step-by-step explanation:
If we plug in 1 into g(x), we get 4. We then plug in g(x) into f(x). When we solve 4², we get 16. Therefore, your answer is B
11.
Given:
Differentiate with respect to x, we get
The given point is (3,9)
Substitute x=3 in the derivative, we get
Hence the slope is 3.
12.
Given:
Differentiate with respect to x, we get
The given point is (0,4)
Substitute x=0 in the derivative, we get
Hence the slope is 0.
9514 1404 393
Answer:
shaded/square = (50π cm²)/(400 cm²) = π/8
Step-by-step explanation:
The quarter circle has area ...
A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²
The half-circle has area ...
A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²
Then the area of the shaded portion is ...
shaded = 100π cm² -50π cm² = 50π cm²
__
The area of the square is ...
A = s² = (20 cm)² = 400 cm²
Then the ratio of interest is ...
shaded/square = (50π cm²)/(400 cm²) = π/8
Answer:
4(5)-12
20-12
8
you have to substitute 5 in place of g and then solve
