Find the distance between each pair of points

Answer:

4: (0, 4)

5: (0, 8.8)

6: (0, 6)

7: (10, 0)

Step-by-step explanation:

6-2=4

5.5-(-3.3)=8.8

-7/12-(-1/2)

31/4-(-9/4)=10

The distances between the points are:

The distance between two points (a, b) and (c, d) is given by:

[tex]distance = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

4) Here the points are (-5, 2) and (-5, 6) so the distance is:

[tex]distance =\sqrt{(-5 - (-5))^2 + (6 - 2)^2} = 4[/tex]

5) Here the points are (4.5, -3.3) and (4.5, 5.5), so the distance is:

[tex]distance = \sqrt{(4.5 - 4.5)^2 + (-3.3 - 5.5)^2 } = 8.8[/tex]

6) Here the points are (5 + 1/2, -7 - 1/2) and (5 + 1/2, -1 - 1/2), so the distance is:

[tex]distance = \sqrt{(5.5 - 5.5)^2 + (-7.5 - (-1.5)^2)} = 6[/tex]

7) Here the points are (-2.25, -8) and (7.75, -8), so the distance is:

[tex]distance = \sqrt{(-2.25 - 7.75)^2 + (-8 + 8)^2} = 10[/tex]

If you want to learn more about distances:

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You are playing a game using the spinner below. The game requires that you spin the spinner twice.

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What is the slope of the line that goes through the points (-3, 8) and (0, 23)?


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Tyler is simplifying the expression 6−2x+5+4x.

Here is his work:

6−2x+5+4x

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His work is incorrect. Explain the error he made.

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Factor to write an equivalent expression:

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