Question

For problems 11–12, find the distance between the two points. Round to the nearest tenth if necessary.
11.
(8, 8), (12, 11) (1 point)

7
5
25
28

12.
(–2, –6), (3, 9) (1 point)

15.8
250
3.2
20

Answer 1

Use distance formula...
\[distance = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2}\]

Answer 2

For example, for 11.
\[distance = \sqrt{(8-12)^2+(8-11)^2} = \sqrt{(-4)^2 + (-3)^2}\]\[ = \sqrt{25} =5\]
Can you try 12 yourself?

Answer 3

Distance between two points is calculated by
\[distance = \sqrt{(x2-x1)^{^{2}} + (y2-y1)^{2}}\]

You can assume either of the points to be x2, x1, y2 and y1

11) \[\sqrt{(12-8)^{2} + (11-8)^{2}}\]
\[\sqrt{4^{2} + 3^{2}}\]
\[\sqrt{25}\]
= 5 answer

11) \[\sqrt{(-2-3)^{2} + (-6-9)^{2}}\]
\[\sqrt{-5^{2} + -15^{2}}\]
\[\sqrt{250}\]
= 15.8 answer