Answered

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what is the distance between A and B B(4,5) A(-3,-4)

Sagot :

11.40 units

Explanation

Step 1

you can easily find the distance between 2 points using:

[tex]\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ \text{where} \\ P1(x_1,y_1)\text{ and } \\ P2(x_2,y_2) \end{gathered}[/tex]

Step 2

Let

A=P1(-3,-4)

B=P2(4,5)

Step 3

replace

[tex]\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ d=\sqrt[]{(5-(-4))^2+(4-(-3))^2} \\ d=\sqrt[]{(9)^2+(7)^2} \\ d=\sqrt[]{81+49} \\ d=\sqrt[]{130} \\ d=\text{11}.40 \end{gathered}[/tex]

I hope this helps you

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