Answer:
d = 9√2
Step-by-step explanation:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(4-\left(-5\right)\right)^2+\left(-2-7\right)^2}\\\\d=\sqrt{\left(4+5\right)^2+\left(-2-7\right)^2}\\\\d=\sqrt{9^2+9^2}\\\\\mathrm{Add\:similar\:elements:}\:9^2+9^2=9^2\times\:2\\\\=\sqrt{9^2\times\:2}\\\\=\sqrt{2}\sqrt{9^2}\\\\=9\sqrt{2}[/tex]
