Question

Lanya'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). what is the distance from Lanya's home to the store?

Answer 1

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at ($2\frac{2}{3}, 7\frac{1}{3}$)

Store is located at ($-1\frac{1}{3},7\frac{1}3}$)

We can find distance between two points by using distance formula.

S = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

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

S = $\sqrt(\frac{8}{3}+\frac{4}{3}+0$

S = $\sqrt{(\frac{8+4}{3})^2$

S = $\sqrt{(\frac{12}{4})^2$

S = $\sqrt{(4)^2$

S = 4 units

Hence,

Option A: 4 units is the correct answer.