# Number of Packets Question 13 (1 point) (04.04 LC) On a coordinate grid, point M is at (-8.2) and point S is at (10, 2). The di units) between points M and S is point) (nput only whole numbers, suc Question 14 (1 point) Saved (04.04 LC)

###### Question:

Question 13 (1 point)

(04.04 LC)

On a coordinate grid, point M is at (-8.2) and point S is at (10, 2). The di

units) between points M and S is

point)

(nput only whole numbers, suc

Question 14 (1 point)

Saved

(04.04 LC)

## Answers

Answer:13. [tex]D = 18[/tex]14. [tex]S = (x, y + 6)[/tex] Step-by-step explanation:13.Given[tex]M = (-8,2)[/tex][tex]S = (10,2)[/tex]RequiredDetermine the distance between M and SDistance (D) is calculated using:[tex]D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]Where[tex](x_1,y_1) = (-8,2)[/tex][tex](x_2,y_2) = (10,2)[/tex][tex]D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex][tex]D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}[/tex][tex]D = \sqrt{(10 +8)^2 + 0^2}[/tex][tex]D = \sqrt{18^2 + 0}[/tex][tex]D = \sqrt{18^2}[/tex][tex]D = 18[/tex]Hence, the distance between M and S is 18 units14. The coordinate of S and P are not given,So, I'll just use (x,y) for Pi.e.[tex]P=(x,y)[/tex]RequiredDetermine the coordinates of SIf S is 6 units above P, then the coordinates of S is[tex]S = (x, y + 6)[/tex]i.e. we add the units to the y coordinate of P.