Consider the following system of equations:
-1/3x^2 = -5/6 + 1/3y^2 and
5y^2 = 25/2 - 5x^2
how many solutions does the system have?

The system has infinitely solutions

Step-by-step explanation:

we have

Multiply by 3 both sides

----> equation A

The equation A is a circle centered at origin with radius

and

Divide by 5 both sides

----> equation B

The equation B is a circle centered at origin with radius

Equation A and Equation B are the same

Therefore

The system has infinitely solutions

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.