Question

Please help me on math homework!

File attached! :D

Answer 1

Use the distance formula to find the distance between two points.
D=
`√((x2-x1)^2+(y2-y1)^2)`
The points are (5, 6) and (1, 1)
D=
`√((5-1)^2+(6-1)^2)`
D=
`√(4^2+5^2)`
D=
`√(16+25)`
D=
`√(41)`

`√(41)` is about 6.4

B. 6.4 units

Hope this helps :)

Answer 2

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=
`√(16+25)`
D=
`√(41)`
6.403


answer is B