Calculate the distance between the points E=(-7,7) and G=(-4,4) in the coordinate plane. Round your answer to the nearest hundredth.

Respuesta :

MsRay

Answer:

4.24

Step-by-step explanation:

The distance between two given points can be found using the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Using the points (-7, 7) and (-4, 4):

[tex]x_{1}=-7\\x_{2}=-4\\y_{1}=7\\y_{2}=4[/tex]

[tex]\sqrt{(-4--7)^{2}+(4-7)^{2}}[/tex]=[tex]\sqrt{(3)^{2}+(-3)^{2}}[/tex]

[tex]\sqrt{(9+9}}[/tex] = √18 ≈ 4.24