Point A(2, 2) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point A and point D in units? A) 7.5 units B) 7.8 units C) 8.1 units D) 8.4 units

Respuesta :

Answer:

B


Step-by-step explanation:

The distance formula is [tex]D=\sqrt{(y_2-y_1)^{2}+(x_2-x_1)^{2}}[/tex]

Where [tex](x_1,y_1)[/tex] is the first coordinate (our case, point A(2,2)) &  [tex](x_2,y_2)[/tex] is the second coordinate (our case, point D(-4,-3))


Plugging these in into the formula gives us:

[tex]D=\sqrt{(y_2-y_1)^{2}+(x_2-x_1)^{2}} \\D=\sqrt{(-3-2)^{2}+(-4-2))^{2}} \\D=\sqrt{(-5)^{2}+(-6)^{2}}\\ D=\sqrt{25+36} \\D=\sqrt{61} \\D=7.81[/tex]


Answer choice B is closest.

Answer:

B) 7.8 units

Step-by-step explanation:

To find the distance between 2 points

d = sqrt ( (x2-x1)^2 + (y2-y1)^2)

  =sqrt( -4-2)^2 + (-3-2)^2)

  = sqrt((-6)^2+(-5)^2)

  = sqrt(36+26)

  = sqrt(61)

   =7.810249676