Answer:
Sally is 10 miles
The coordinate ofthe deli is (1, -1)
Step-by-step explanation:
✍️Coordinate of Sally = (-3, 2)
Coordinate of Ocean Front = (5, -4)
The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):
[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]
[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} = 10 [/tex]
✅The distance of Sally is 10 miles
✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.
Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).
Midpoint of (-3, 2) and (5, -4).
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Plug in the values
[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]
[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]
[tex] M(1, -1) [/tex]
✅The coordinate ofthe deli is (1, -1)
