A map is drawn on a coordinate plane. The school is located at (-1,4), the city is located at (4,4), and the mall is located at (-1,-2). The three locations form a right triangle. If 1 unit on the coordinate plane represents 2 miles, what is the distance from the school to the mall?
a.) 8 miles / b.) 10 miles / c.) 12 miles / d.) 16 miles

Question

ec12282008 ec12282008

03-03-2021
Mathematics

Answered

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A map is drawn on a coordinate plane. The school is located at (-1,4), the city is located at (4,4), and the mall is located at (-1,-2). The three locations form a right triangle. If 1 unit on the coordinate plane represents 2 miles, what is the distance from the school to the mall?
a.) 8 miles / b.) 10 miles / c.) 12 miles / d.) 16 miles

Sagot :

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kotkat kotkat · Answer 1 · 2021-03-03T17:55:12-05:00

Answer:

The answer is 12 miles.

Step-by-step explanation:

Since the school is located at (-1,4) and the mall is located at (-1,-2), they both have the same x coordinate on the plane, so we don't have to worry about the distance of the x axis. Now we look at the y-axis, and the school is located 6 units away from the mall since the distance between 4 and -2 is 6. But since 1 unit equals 2 miles, we multiply 6 by 2. We get an answer of 12 miles.

Sagot :

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