Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from…

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asked Nov 24, 2021 89.4k views

2 Answers

Paul Cantrell · Answer 1 · 2021-11-30T11:02:38+0000

We have been given that Layana’s house is located at
(2(2)/(3), 7(1)/(3)) on a map. The store where she works is located at
(-1(1)/(3), 7(1)/(3)) .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2(2)/(3)\Rightarrow (8)/(3)$

$7(1)/(3)\Rightarrow (22)/(3)$

$-1(1)/(3)\Rightarrow -(4)/(3)$

Now we will use distance formula to solve our given problem.

D=√((x_2-x_1)^2+(y_2-y_1)^2)

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{((22)/(3)-(22)/(3))^2+((8)/(3)-(-(4)/(3)))^2}$

$D=\sqrt{(0)^2+((8)/(3)+(4)/(3))^2}$

$D=\sqrt{0+((8+4)/(3))^2}$

$D=\sqrt{((12)/(3))^2}$

D=√((4)^2)

D=4

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.