A rectangle is drawn so the width is 7 inches longer than the height. If the rectangles diagonal measurement is 44 inches, find the height

h = 27.4 in

Step-by-step explanation:

Height = h

Width = h + 7

Diagonal = 44

These 3 form a right-angle triangle, we can therefore use pythagoras theorem to formulate a solveable equation to find h:

h² + (h + 7)² = (44)²

h² + h² + 14h + 49 = 1936

2h² + 14h - 1887 = 0

The height cannot be a negative value ∴ the height we are looking for is the other.

h = 27.4 in

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb