Answer:
-2
Step-by-step explanation:
First, you need to find the equation.
f(x) = -3x + b
Now we need to find the y-intercept.
f(x) = -3x + b
f(-9) = -3(1) + b
-9 = -3 + b
-6 = b
f(x) = -3x - 6
The zero of f means that f(x) = 0
f(0) = -3x - 6
f(6) = -3x
x = -2
Answer:
226.2 feet
Step-by-step explanation:
The fence around the dog's house is a circle, with a radius of 12 meters.
To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:
C = 2 π r, since we know r, the calculation is easy:
C = 2 π 12 = 24 π = 75.4 feet.
The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.
Dogs run = 3 x 75.4 ft = 226.2 feet
Answer:
120
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x-15)²=10
x-15=±√10
x=15±√10
or x=15+√10
and x=15-√10
Let L be the length and W be the width.
"the width of a rectangle is half as long as the length"
W = (1/2)·L
"the rectangle has an area of 18 square feet"
A = L·W = 18
Substitute,
L·W = 18
L·(1/2)·L = 18
(L²)/2 = 18
L² = 36
L = 6 feet
then W = (1/2) · L
W = (1/2) · 6
W = 3 feet
