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what is the distance between (24,0) and (0, -7)​

Sagot :

Answer:

When finding the distance of two points; use the formula:

[tex]d = \sqrt{ {(x ^{2} - {x}^{1} )}^{2} + {( {y}^{2} - {y}^{1}) }^{2} } [/tex]

[tex] {x}^{2} = 24[/tex]

[tex] {x}^{1} = 0[/tex]

[tex] {y}^{2} = 0[/tex]

[tex] {y}^{1} = - 7[/tex]

substitute:

[tex] \sqrt{ {(24 - 0)}^{2} + {(0 - ( - 7))}^{2} } [/tex]

[tex] \sqrt{ {(24)}^{2} + {(7)}^{2} } [/tex]

[tex] \sqrt{576 + 49} [/tex]

[tex] \sqrt{625} [/tex]

[tex]d = 25[/tex]

the distance of the two points is:

[tex]25 \: \: units[/tex]

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