Question

SHOW ALL OF THE STEP THAT YOU USE TO SOLVE THE PROBLEM
21. Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth.

Answer 1

Use the distance formula

Answer 2

\[D=\sqrt{\left( x _{2}-x _{1} \right)^{2}-\left( y _{2}-y _{1} \right)^{2}}\]

Answer 3

You use the points you were given and use a pair of coordinates as x1 and y1 and the other as x2 and y2

Answer 4

Once you do that you have d= sqrt((-1-6)^2+(14-16)^2)

Answer 5

Do the subtraction and get
d=sqrt((-7)^2+(-2)^2)

Answer 6

Then
d=sqrt(49+4)
Remember when you square a negative number it's positive.

Answer 7

So do the last step and add those together

Answer 8

Okay then. \[D=\sqrt{53} units\]

Answer 9

If you're told to round, you can approximate it to 7.2801 units