Answered

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Find the distance between (13,15) and (5,9).

Sagot :

Answer:

10

Explanation:

Given:

[tex]\text{ Point 1 (x}_{1,}y_1_{})\text{ = (13,15)}[/tex][tex]\text{ Point 2 (}_{}x_2,y_2)\text{ = (5,9)}[/tex]

To find the distance between points, we use the formula:

[tex]d=\text{ }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We plug in what we know:

[tex]\begin{gathered} d=\text{ }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(5-13)^2+(9-15)^2} \\ \text{Simplify } \\ =\sqrt[]{(-8)^2+(-6)^2} \\ =\sqrt[]{64+36} \\ =\sqrt[]{100} \\ \text{Calculate} \\ d=10 \end{gathered}[/tex]

Therefore, the distance between (13,15) and (5,9) is 10.



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