Question

Which expression gives the distance between the points (4,6) and (7,-3)?​

Answer 1

Answer: d = 3$\sqrt{10}$

Step-by-step explanation:

The formula for calculating distance between to points is given as "

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

$x_{1}$ = 4

$x_{2}$ = 7

$y_{1}$ = 6

$y_{2}$ = -3

substituting the values into the equation:

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

d = $\sqrt{(3)^{2}+(-9)^{2}}$

d = $\sqrt{9+81}$

d = $\sqrt{90}$

d = 3$\sqrt{10}$

Answer 2

Answer:

As shown in the image....

Step-by-step explanation:

This equation follows with the distance formula which is (x2-x1)+(y2-y1) squared.