Answer:
10 AM
Step-by-step explanation:
Frank drove at a speed of 50 mph, and traveled a distance of 150 miles. This means he traveled for
150/50 = 3 hours.
7 AM + 3 hours = 10 AM
Answer:
the peremiter will be 2 x one factor +2 the other factor. lets say the area of the rectangle is square feet. then the rectangle could be 8x12; so the perimeter would be 2x8+2×12 or 40 but the rectangle could also be 6 x 16 the peremiter would be 44
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
If the integral is simply
then notice that
which means you can compute the integral easily with a substitution
Under this transformation, the integral is
On the other hand, in case you're missing a symbol and the integral is actually
then first carry out the division:
Now, 
, so to integrate the remainder term you can decompose it into partial fractions:
Then the integral would be
which can be rewritten in several ways, such as
