Question

40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.

Answer 1

7.1

Explanation:

Using the distance formula

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

sqrt ( (-5-2)^2 + ( -3- -2)^2)

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

sqrt( ( 49 + 1)

sqrt( 50)

7.071067812

To the nearest tenth

7.1

Answer 2

7.1 units

Explanation:

We can use the distance formula to find the distance between these two points.

The distance formula is:

`\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }`.

x1 is 2, x2 is -5, y1 is -2, and y2 is -3, so we can plug these values into the equation.

`\sqrt {\left( {2 - (-5) } \right)^2 + \left( {-2 - (-3) } \right)^2 }\\\\\sqrt {7^2 + 1^2}\\\\√(49+1)\\\\√(50)\approx7.1`

Hope this helped!