find the standard equation of the hyperbola which satisfies the given conditions: center (-10,-4) one corner of auxiliary rectangle at (-1,12), which horizontal transverse axis

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

Atriangular bandana has an area of 46 square inches. the height of the triangle is 5 3 4 inches. enter and solve an equation to find the length of the base of the triangle. use b to represent the length of the base.

What is the area of a rectangle with vertices (-8,-2), (-3,-2), (-3,-6), and (-8,-6)? units