Question

Maria leaves her house and walks north for 6 blocks. She then turns and walks directly east for 8 more blocks

Answer 1

Answer:

36+64=100 100 to the square root is 10

Step-by-step explanation:

I'm not giving a diagram just draw a triangle and make the base of it 8 and the length of it 6 but the diagonal part 10

It's the pythagorean theorum. a^2 + b^2 = c^2

^2= to the 2nd power. or squared.

In this case it really doesnt matter which one you label for this part of math.

so 8^2 + 6^2 = C^2 where C is the shortest distance between the houses.

and 8 and 6 were the lengths given.

64+36=100

100's square root is 10 because 10^2 is 100 or 10*10 is 100. If you dont know what squaring is.

Its multiplying something by that something once so 1 squared is 1 because its 1*1 you are multiplying it once 2 squared or 2^2 is 4 because 2*2 is 4 3 squared or 3^2 is 9 because 3*3 is 9. 4 squared is 16 because 4*4 is 16. and if you did 2 to the power of 3 of 2 cubed it would be 8 because 2*2*2 is 8.

Answer 2

Answer:

10 blocks

Step-by-step explanation:

Sorry for the terrible "drawing" below, but it gives you an idea.

                                                     

A     _      _      _     _     _     _     _    _ N

|                                                        /

|                                             /

|                                   /

|                         /

|             /

|  /

M

Start at point M, Maria's house. Go north (up) 6 blocks to point A. Then go east (right) 8 blocks to point N, Natalie's house.

If you go directly in a straight line from point M to point N (along the path of the slashes), that is the shortest distance between their houses.

The three segments form a right triangle with A being a right angle. Sides AM and AN are the legs of the right triangle. Side MN is the hypotenuse.

The Pythagorean theorem:

(AM)^2 + (AN)^2 = (MN)^2

6^2 + 8^2 = (MN)^2

36 + 64 = (MN)^2

100 = (MN)^2

MN = 10

Answer: the shortest distance is 10 blocks long.