Question

Find the distance between (-3,7) and (2,9). Use an exact answer in radical form.

Answer 1

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points (-3, 7) and (2, 9). Substitute:

`d=√((2-(-3))^2+(9-7)^2)=√(5^2+2^2)=√(25+4)=√(29)`

Answer 2

sqrt(29)

Explanation:

To find the distance between two points, we use the formula

d =sqrt((x2-x1)^2 + (y2-y1)^2 )

= sqrt( (2--3)^2 + (9-7)^2)

= sqrt( 2+3)^2 + (2)^2)

= sqrt( 5^2 + 4)

= sqrt( 25+4)

= sqrt(29)

The distance is the sqrt(29)