Quiz about 11-5 The Distance Formula A

Question 1

Find the distance between each pair of points whose coordinates are given. Express answers in simplest radical form and as decimal approximations rounded to the nearest hundredth if necessary.

$$\left(5,-1\right),\ \left(11,\ 7\right)$$

Accepted Answer

10

Answer

15

Answer

12

Answer

8

Question 2

Find the distance between each pair of points whose coordinates are given. Express answers in simplest radical form and as decimal approximations rounded to the nearest hundredth if necessary.

$$\left(-3,\ -5\right),\left(-6,\ -4\right)\ $$

Accepted Answer

$$\sqrt[]{10},\ 3.16$$

Answer

12

Answer

$$\sqrt[]{7},\ 2.65$$

Answer

5

Question 3

Find the possible values of a if the points with the given coordinates are the indicated distance apart.

$$\left(3,-1\right),\left(a,\ 7\right);\ d=10$$

Accepted Answer

a = 9, -3

Answer

a = 5, -2

Answer

a = 12, -6

Answer

a = 0, 10

Question 4

Find the possible values of a if the points with the given coordinates are the indicated distance apart.

$$\left(10,\ a\right),\left(1,-6\right);\ d=\sqrt[]{145}$$

Accepted Answer

a = -14 or a = 2

Answer

a = 0 or a = -20

Answer

a = 10 or a = -6

Answer

a = 5 or a = -10

Question 5

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?

(3, 4) , (7, 1)

Accepted Answer

$$d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}$$

Accepted Answer

$$d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}$$

Answer

$$d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}$$

Answer

$$d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}$$

Answer

$$d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}$$

Question 6

Find the distance between the points (5, 7) and (-2, -2).

Accepted Answer

11.4

Answer

5.7

Answer

5.8

Answer

8.6

Question 7

Find possible values of x if the distance between the points (-3,-2) and (x,-5) is 5 units.

Accepted Answer

-7 and 1

Answer

-5 and 2

Answer

3 and 2

Answer

5 and 2

11-5 The Distance Formula A

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