Question

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

Answer 1

Answer: The distance between is 13

Step-by-step explanation:

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (4-4)2+(-6-7)2

d = √ ((0)2+(-13)2)

d = √ (0+169)

d = √ 169

The distance between the points is 13

Answer 2

The distance between the two points is 9.49units

The formula for calculating the distance between two points is expressed as:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the following coordinate  (4,6) and (7,-3). Substituting into the formula;

$D=\sqrt{(7-4)^2+(-3-6)^2}\\D=\sqrt{(3)^2+(-9)^2}\\D=\sqrt{9+81}\\D=\sqrt{90}\\D = 9.49 units$

Hence the distance between the two points is 9.49units.

Learn more here: https://brainly.com/question/7245260