Question 4 Multiple Choice Worth 4 points)
What is the distance from (-4, 0) to (2,5)? Round your answer to the nearest hundredth.
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Respuesta :

Answer:

The distance is [tex]d=7.81\ units[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]A(-4,0)\\B(2.5)[/tex]  

substitute the values

[tex]d=\sqrt{(5-0)^{2}+(2+4)^{2}}[/tex]

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

[tex]d=\sqrt{61}\ units[/tex]

[tex]d=7.81\ units[/tex]

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