Question

Find the distance between each pair and points (-4,6) (3,-7)

Answer 1

Answer:

$\sqrt{218}$ =14.76....

Step-by-step explanation:

$\sqrt{(3--4)^2+(-7-6)^2}$

$\sqrt{7^2+(-13)^2}$

$\sqrt{49+69}$

$\sqrt{218}=14.764.....$

hope this make sense :/

Answer 2

Answer:

$d =\sqrt{218}$

Step-by-step explanation:

$d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8$