The town will spend $202.5 on laying the pipes.
Step-by-step explanation:
Given points are;
(-2,-4) and (6,-5)
[tex]x_1=-2, \ \ \ y_1=-4\\x_2=6,\ \ \ \ y_2=-5\\[/tex]
Distance of two points is;
[tex]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[/tex]
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
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