The mayor of a town places a map of the town on a coordinate grid with Town Hall at the point (0,0) and with each unit represent

Question

3 years ago

9

The mayor of a town places a map of the town on a coordinate grid with Town Hall at the point (0,0) and with each unit represent

ing a mile. The town wants to run a new water pipe from point (-2,-4) to the point (6,-5). The pipe costs $25 a mile to lay. How much will the town spend on the pipe? [Round to the nearest tenth when you find the distance.]

Mathematics

1 answer:

Alexxandr [17] · Answer 1 · 2022-08-06T01:19:29+03:00

The town will spend $202.5 on laying the pipes.

Step-by-step explanation:

Given points are;

(-2,-4) and (6,-5)

$x_1=-2, \ \ \ y_1=-4\\x_2=6,\ \ \ \ y_2=-5\\$

Distance of two points is;

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Distance=\sqrt{(6-(-2))^2+(-5-(-4))^2} \\Disatnce=\sqrt{(6+2)^2+(-5+4)^2} \\Distance=\sqrt{(8)^2+(-1)^2}\\Distance=\sqrt{64+1} \\Distance=\sqrt{65} \\Distance= 8.1 \units$

As one unit represent a mile, therefore,

Distance = 8.1 miles

Cost of laying 1 mile = $25

Cost of laying 8.1 miles = 8.1*25 = $202.5

The town will spend $202.5 on laying the pipes.

Keywords: distance, points

Learn more about distance at:

#LearnwithBrainly