The circle below has center P. The point (x, y) is on the circle as shown.
13
12
(a) Find the following.
Center: (-5, -7)
11
10
Radius: 4 units
7
Value of a: (Choose one) V
Value of b: (Choose one) V
(b) Use the Pythagorean Theorem to write an equation
relating the side lengths of the right triangle. Write
your answer in terms of x and y (with no other
letters)
O² + O² = (O?

Which graph represents the function g(x) = |x + 4| + 2?

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?

Which point does not lie on the graph k(x) = 8 -3 √x a. (-64, 12) b. (125, 3) c. (343, 1) d. (8, 5)