Arectangle has vertices w(2,3), x(2,6), y(7,6), and z(7,3).
describe how to find the side lengths of the rectangle without
graphing.

Step-by-step explanation:

A rectangle has 4 sides.

2 of them are lengths and 3 of them are widths.

We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.

We can find all the 4 lengths by using Distance Formula from points:

W and X

X and Y

Y and Z

W and Z

Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find

Distance of WX, which would be same as distance of YZ

also

Distance of XY which would be same as distance of WZ

Note: Distance Formula is    where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.