20 POINTS AND BRAINLIST IF RIGHT!

A map of three public schools was created using a coordinate plane where the origin represents the center of the town. Euclid Elementary School is graphed at (−3, 5), Math Middle School is graphed at (5, 5), and Hypotenuse High School is graphed at (−3, −2). Each unit on the graph represents 1 mile.

Part A: Find the shortest distance, in miles, from Euclid Elementary School to Math Middle School. Show every step of your work. (2 points)

Part B: Find the shortest distance, in miles, from Euclid Elementary School to Hypotenuse High School. Show every step of your work. (2 points)

Part C: Find the shortest distance, in miles, from Math Middle School to Hypotenuse High School. Show every step of your work. (4 points)

Part D: Javi traveled from Hypotenuse High to Euclid Elementary and then to Math Middle. Braylen traveled from Hypotenuse High to Math Middle along a straight path. Who went the shortest distance? Explain. (4 points)

Answer: Considering the formula for the distance between two points, we have that:a) The distance from the Euclid Elementary School to Math Middle School is of 6 miles.b) The distance from the Euclid Elementary School to Hypotenuse High School is of 7 miles.c) The distance from the Math Middle School to Hypotenuse High School is of 9.2 miles.d) Kaya went the shortest distance, of 9.2 miles compared to 13 miles.What is the distance between two points?Suppose that we have two points with coordinates and . The shortest distance between them is given by the following rule:For this problem, the coordinates of the schools are given as follows:Euclid: (-2, 4).Math: (4,4).Hypotenuse: (-2, -3).Hence the distances for each item are given by:a) b) c) In item d, Kaya went through the hypotenuse of 9.2 units, while Deon went through the two sides, of 6 and 7 miles, for a total of 13 miles, hence Kaya used the shortest path.