Write the equation of the circle The circle with center C(1, - 4) and radius r= 2

(x-1) ^2 + (y+4)^2 = 4

Step-by-step explanation:

The equation of a circle can be written as

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-1) ^2 + (y- -4)^2 = 2^2

(x-1) ^2 + (y+4)^2 = 4

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3