Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

a. f(x) = -1/8 (x - 2)2 + 6
b. f(x) = 1/8 (x - 2)2 + 6
c. f(x) = -1/8 (x + 2)2 + 8
d. f(x) = 1/8 (x + 2)2 + 8

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

On this question. a hypothermia occurs when a person's body temperature drops below 95 degrees fahrenheit. write and solve an inequality that describes how much lower the body temperature of a person with hypothermia will be than the body temperature of a person with a normal temperature of 98.6 degrees fahrenheit

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.