Distance Formula

Which of the following is the correct way to write the distance formula?

• $d\ =\ \sqrt{\left(x_2-x_1\right)^2}+\left(y_2-y_1\right)^2$

• $d\ =\ \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)2}$

• $d\ =\ \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

• $d\ =\ \sqrt{\left(x_2-x_1\right)^{ }+\left(y_2-y_1\right)^2}$

What is the distance between the following points.

• 4

• -4

• 7

• -7

If the distance between two points is 5 what is t.he value of x if the endpoints are (1,5) and (1,x)

• 0

• 1

• 2

• 3

What is the distance between the points (4,2) and (1,6).

• 3

• 5

• 7

• 9

The points (3,0) and (-2,1) can be written as

• $d=\ \sqrt{\left(-2-3\right)^2+\left(1-0\right)^2}$

• $d=\ \sqrt{\left(-2+3\right)^2+\left(1-0\right)^2}$

• $d=\ \sqrt{\left(-2-3\right)^2+\left(1+0\right)^2}$

• $d=\ \sqrt{\left(-2-3\right)^2-\left(1-0\right)^2}$

In the equation  $d=\ \sqrt{\left(9-8\right)^2+\left(-1-9\right)^2}$  , what are the coordinates of the two endpoints.

• (-8,-9) and (-9,1)

• (8,9) and (9,1)

• (8,9) and (9,-1)

• (8,-9) and (9,-1)

What is the distance between the point.

• $\sqrt{2}$
  

• $2\sqrt{10}$

• $\sqrt{10}$

• $10\sqrt{2}$

What is the distance between the points (-2,0) and (-2,-3)

• 2

• -2

• 3

• -3

 $10\ =\ \sqrt{\left(-9-\left(-1\right)\right)^2+\left(5-\left(-1\right)\right)^2}$  

In the equation what is the distance.

• -1

• 5

• -9

• 10

what is the value of x if d = 1, (3,1) and (2,x)

• 0

• 1

• 2

• 3