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Adams house, the local park and the nearest hospital are mapped on a coordinate plane. What’s distance between Adams house and the hospital? Please help thank you

Adams house the local park and the nearest hospital are mapped on a coordinate plane Whats distance between Adams house and the hospital Please help thank you class=

Respuesta :

calculista

Answer:

[tex]d=\sqrt{106}\ 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]

Let

[tex]A(-4,2)[/tex]  -----> Adam's house

[tex]B(5,7)[/tex]  -----> Hospital

substitute the values

[tex]d=\sqrt{(7-2)^{2}+(5+4)^{2}}[/tex]

[tex]d=\sqrt{(5)^{2}+(9)^{2}}[/tex]

[tex]d=\sqrt{106}\ units[/tex]

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