Question

Help!!!! and give explanation.

2. Angelica uses the point (3,1) to represent the location of her house and uses the point (11,8) to represent the
location of a grocery store. Each unit on the graph represents 1 mi. How far is the grocery store from?
Angelica’s house? Show your work.
Answer:

Answer 1

10.63 miles

Explanation:

Angelica’s house is located at point (3,1) and the grocery store is located at point (11,8). Each unit on the graph represents 1 mile.

To find the distance between the two points, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (3,1) and (x2,y2) = (11,8).

Substituting these values into the formula gives:

d = sqrt((11 - 3)^2 + (8 - 1)^2) d = sqrt(64 + 49) d = sqrt(113)

Therefore, the distance between Angelica’s house and the grocery store is approximately 10.63 miles.