Question

Use the distance formula to find distance between two points. Need help on this ASAP.

Answer 1

4. 20 units

5. 2√10 units

6. 2√17 units

Explanation:

The distance formula is given as;

`d=\sqrt{(x_2-x_1)^(2) +(y_2-y_1 )^2`

So for;

4)

(5,9) (-7,-7)

`d=\sqrt{(-7-5)^(2)+(-7-9)^2 }\\\\d=√(-12^2+-16^2) \\\\d=√(144+256) \\\\\\d=√(400) =20`

5.

The coordinates given are: (3,8) and (9,10)

`d=√((9-3)^2+(10-8)^2) \\\\\\d=√(6^2+2^2) \\\\d=√(36+4) \\\\d=√(40) \\d=√(4*10) \\\\d=√(4) *√(10) \\\\d=2√(10)`

6. The coordinates are (-10,-7) , (-8,1)

`d=√(( -8--10)^2+(1--7)^2) \\\\d=√(2^2+8^2) \\\\d=√(4+64) \\\\\\d=√(68) \\\\d=√(17*4) \\\\d=√(4) *√(17) \\\\\\d=2√(17)`