Answer:
4. 20 units
5. 2√10 units
6. 2√17 units
Step-by-step explanation:
The distance formula is given as;
[tex]d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1 )^2[/tex]
So for;
4)
(5,9) (-7,-7)
[tex]d=\sqrt{(-7-5)^{2}+(-7-9)^2 }\\\\d=\sqrt{-12^2+-16^2} \\\\d=\sqrt{144+256} \\\\\\d=\sqrt{400} =20[/tex]
5.
The coordinates given are: (3,8) and (9,10)
[tex]d=\sqrt{(9-3)^2+(10-8)^2} \\\\\\d=\sqrt{6^2+2^2} \\\\d=\sqrt{36+4} \\\\d=\sqrt{40} \\d=\sqrt{4*10} \\\\d=\sqrt{4} *\sqrt{10} \\\\d=2\sqrt{10}[/tex]
6. The coordinates are (-10,-7) , (-8,1)
[tex]d=\sqrt{( -8--10)^2+(1--7)^2} \\\\d=\sqrt{2^2+8^2} \\\\d=\sqrt{4+64} \\\\\\d=\sqrt{68} \\\\d=\sqrt{17*4} \\\\d=\sqrt{4} *\sqrt{17} \\\\\\d=2\sqrt{17}[/tex]
