Answer:
[tex]d =\sqrt{218}[/tex]
Step-by-step explanation:
[tex]d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8[/tex]
