The length of a rectangle is nine inches more than the width. The perimeter is 46 inches. Find the length and width. Please show work.

W=7 L= 16

Step-by-step explanation:

you start off with

   P=2L+2W   (the equation to find perimeter)

the equation gives you the perimeter = 46

so you plug that in

     46=2L +2W

then it says the length IS (which also means equals) 9 plus the width

so you then get another equation:

    L=9+W

you take that and plus it into the first equation/ substitute the new equation for L in the first equation

     46=2(9+W)+2W

you solve that and get

   w=7

you plus the 7 in for the w

L=9+7 = 1

W=7 L=16

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be