If (x + 2)2 + (y − 5)2 = 25 is the equation of a circle, which statement describes the circle's graph?
a)the center of the circle is (2, 5), and the circle's radius is 25.
b) the center of the circle is (−2, 5), and the circle's radius is 5.
c) the center of the circle is (2, −5), and the circle's radius is 5.
d) the center of the circle is (−2, −5), and the circle's radius is 5.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

The product of 3 and a number increased by 8 is 31