Answer:
25π square inches.
Step-by-step explanation:
A 3-inch by 4-inch rectangle is rotated about a corner.
So, the maximum area that a point on the rectangle covers will be by the opposite corner point for 360° full rotation.
Now, the length of the diagonal is = inches.
Therefore, the area of the circle will be calculated by 5 inches as the radius will be πr² = π(5)² = 25π square inches. (Answer)
Answer:
Rate of change = -12
Step-by-step explanation:
y − 3 = −12(x + 4)
Expanding, we have;
y - 3 = -12x - 48
y = -12x - 48 + 3
y = -12x - 45
Now, formula for rate of change is;
Rate of change = (y(x + h) - y)/h
y(x + h) is; y = -12(x + h) - 45
This gives;
Rate of change = (-12(x + h) - 45 + 12x + 45)/h
Rate of change = (-12x - 12h - 45 + 12x + 45)/h
Rate of change = -12h/h
Rate of change = -12
Answer: Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²
Step-by-step explanation:
Time taken by the car to cover 260 km is 2.6 hrs
Step-by-step explanation:
- Step 1: Find the speed of the car given distance covered = 150 km and time = 1.5 hrs.
Speed = Distance/Time = 150/1.5 = 100 km/hr
- Step 2: Find the time taken by the car to cover 260 km.
Time = Distance/Speed = 260/100 = 2.6 hrs
Answer:
It should be x=11 instead of x=-11, so he is not correct because he made a sign error.
Step-by-step explanation:
I took the test