A garden contains two square peanut beds. Find the length of each bed if the sum of the areas is 740 ft ^2and the difference of the areas is 228 ft^2. The length of the smaller bed is ft.
The length of the larger bed is ft.

Find the equation of a hyperbola satisfying the given conditions.
Asymptotes y=3/4x​, y=-3/4x
​; one vertex ​(​12, ​0)
The equation of the hyperbola is

Find an equation of an ellipse satisfying the given conditions.
​Vertices: (0, -7​) and​ (0, ​7)
Length of minor​ axis: 6
The equation of the ellipse matching these conditions is

A garden contains two square peanut beds. Find the length of each bed if the sum of the areas is 740 ft ^2and the difference of the areas is 228 ft^2.

The length of the smaller bed is ft.

The length of the larger bed is ft.

Find the equation of a hyperbola satisfying the given conditions.

Asymptotes y=3/4x, y=-3/4x

; one vertex (12, 0)

The equation of the hyperbola is

Find an equation of an ellipse satisfying the given conditions.

Vertices: (0, -7) and (0, 7)

Length of minor axis: 6

The equation of the ellipse matching these conditions is

━━━━━━━━━━━━━━━━━━

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.