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Find the distance between the pair of points. (6,16) and (-22,12)​

Sagot :

Leora03

Answer:

28.3 units (3 s.f.)

Step-by-step explanation:

[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]

Using the formula above,

distance

[tex] = \sqrt{[6 - ( - 22)]^{2} + (16 - 12) {}^{2} } [/tex]

[tex] = \sqrt{(6 + 22) {}^{2} + {4}^{2} } [/tex]

[tex] = \sqrt{ {28}^{2} + 16 } [/tex]

[tex] = \sqrt{784 + 16} [/tex]

[tex] = \sqrt{800} [/tex]

= 28.3 units (3s.f.)

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