Question

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

Answer 1

Answer:

Step-by-step explanation:

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

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