Find the dimensions of a rectangular park that has a perimeter of 14 km and measures 5 km on the diagonal. (Hints: One-half the perimeter of a rectangle is the sum of two adjacent sides. You also might need a special formula for right triangles to solve this problem.)

If 1 is divided by the sum of y& 4.the result is equal to 3 divided by 4, find the value of m

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

For the quadratic function [tex]y=(x+4)^2-1[/tex] , do the following: a) rewrite the function in the standard form, b) rewrite the function in intercept form, c) find the vertex, d) find the y-intercept, e) find the x-intercepts.