Question

C=(7,-4) and D= (-8,5) CD=?

Answer 1

Explanation:

`x_(1)=7 \ ; y_(1) = -4\\\\x_(2) = -8 \ ; y_(2)=5\\\\CD = \sqrt{(-8-7)^(2)+(5-[-4])^(2)}\\\\=\sqrt{(-15)^(2)+(5+4)^(2)}\\\\=\sqrt{225+(9)^(2)}\\\\=√(225+81)\\\\=√(306)\\\\=√(3*3*2*17)\\\\=3√(34)`

Distance =
`\sqrt{(x_(2)-x_(1))^(2)-(y_(2)-y_(1))^(2)}`