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

Answer:

7.1

Step-by-step 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

Answer:

7.1 units

Step-by-step 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.

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

Hope this helped!