Use a coordinate grid to plot the points (—2, 3) and (4, 5) then plot two more points so that all four points form vértices of a rectangle with a horizontal length. Next, find the length of each side. Write an absolute value expression to show how you calculated each length.

Respuesta :

Answer:

The answer to your question is below

Step-by-step explanation:

See the picture below

Data

A (-2, 3)

B (4, 5)

I plotted the points C (4, 3) and D (-2, 5)

Distance

dAC = [tex]\sqrt{(4 + 2)^{2}+ (3-3)^{2}}[/tex]

       = [tex]\sqrt{(6)^{2}}[/tex]

      = 6

dBD = [tex]\sqrt{(4 + 2)^{2}+ (5 - 5)^{2}}[/tex]

       = [tex]\sqrt{36}[/tex]

      = 6

dAD = [tex]\sqrt{(-2 + 2)^{2} + (3 - 5)^{2}}[/tex]

        = [tex]\sqrt{(-2)^{2}}[/tex]

       = 2

dBC = [tex]\sqrt{(4 - 4)^{2} + (5 - 3)^{2}}[/tex]

dBC = [tex]\sqrt{(2)^{2}}[/tex]

dBC = 2

Total distance = dAC + dBD + dAD + dBC

Total distance = 6 + 6 + 2 + 2

                       = 16

I calculate the length of each side and then I sun them up.

Ver imagen joseaaronlara