Question

Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?

mi,
Sally plans to stop half way and pick up something to eat at the deli. What coordinate is the deli?

Answer 1

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

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,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`, to calculate the distance between (-3, 2) and (5, -4):

`d = √((5 -(-3))^2 + (-4 - 2)^2)`

`d = √((8)^2 + (-6)^2)`

`d = √(64 + 36)`

`d = √(100) = 10`

✅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).

`M((x_1 + x_2)/(2), (y_1 + y_2)/(2))`

Plug in the values

`M((-3 + 5)/(2), (2 +(-4))/(2))`

`M((2)/(2), (-2)/(2))`

`M(1, -1)`

✅The coordinate ofthe deli is (1, -1)