Answer:
4(x-7)^2 - 19
Step-by-step explanation:
Shifting 7 units to the right: 4(x-7)^2 - 16.
3 units down: 4(x-7)^2 - 16 - 3, or 4(x-7)^2 - 19
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ
We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6
From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
Answer:

Step-by-step explanation:
a hemisphere is half a sphere.
And if the formula for the volume of a sphere is:

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.
Since the radius is:

substituting this into the formula for volume:

this is the volume of the total sphere, thus the volume of a hemisphere is:

rounding to the nearest tenth:

Answer:
B, C, C
Step-by-step explanation: