Question

Please help me on math homework!

File attached! :D

Answer 1

use pythagorena theorme

D=$\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}$
NOTE: x1 and x2 means the first x and second x, not x^1 and x^2

points given are
(1,1)
(5,6)
x1=1
y1=1
x2=5
y2=6
D=$\sqrt{(1-5)^{2}+(1-6)^{2}}$
D=$\sqrt{(-4)^{2}+(-5)^{2}}$
D=$\sqrt{16+25}$
D=$\sqrt{41}$
6.403


answer is B

Answer 2

Use the distance formula to find the distance between two points.
D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$
The points are (5, 6) and (1, 1)
D= $\sqrt{(5-1)^2+(6-1)^2}$
D= $\sqrt{4^2+5^2}$
D= $\sqrt{16+25}$
D= $\sqrt{41}$
$\sqrt{41}$ is about 6.4

B. 6.4 units

Hope this helps :)