Respuesta :

cromulent

Origin = [tex](0, 0)[/tex]

Point = [tex](-18, 24)[/tex]

Distance = [tex]\sqrt{(24 - 0)^2 + (-18 - 0)^2} = \sqrt{24^2 + (-18)^2} = \sqrt{576 + 324} = \sqrt{900} = 30[/tex]

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Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

The distance from the origin to the point (-18,24) is ??????

[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]

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

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

Here,origin(0,0)

x1=0

y1=0

Point(-18,24)

x2=-18

y2=24

Using formula,

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

[tex]= \sqrt{ {(-18 - 0)}^{2} + {(24- 0)}^{2} } [/tex]

[tex]= \sqrt{ {(-18)}^{2} + {(24)}^{2} } [/tex]

[tex]= \sqrt{ (324) +(576) } [/tex]

[tex]= \sqrt{ 900 } [/tex]

[tex]= \sqrt{ 30×30 } [/tex]

=30

[tex]{\huge{\pink{\underline{\underline{Answer:}}}}}[/tex]

30 units is answer.

The distance from the origin to the point (-18,24) is 30 units..

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