What is the general form of the equation of a circle with center at (a, b) and radius of length m?

a: x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0

b: x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0

c: x2 + y2 − 2ax − 2by + (a + b − m2) = 0

d: x2 + y2 + 2ax + 2by + a2 + b2 = -m2

Complete the equation of the line through (−10,3) and (−8,−8). use exact numbers.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3