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Maksim231197 [3]
2 years ago
15

What is the distance between the points (5, 1) and (-3, -5)? 02√10 02√5 10 04√5

Mathematics
2 answers:
lyudmila [28]2 years ago
7 0

Given:-

  • Coordinates of Point A ( 5 , 1)
  • Coordinates of Point B = (- 3, - 5)

To Find:-

  • distance between the two points

Solution:-

using Formula:-

\bigstar \:  \: { \underline { \underline{ \boxed{ \sf{ Distance =  \: \sqrt{(x_2 − x_1)² + (Y_2 — Y_1)²}}}}}}

\sf \implies \: Distance =  \: \sqrt{(x_2 − x_1)² + (Y_2 — Y_1) {}^{2} }

\sf \implies \: Distance =  \: \sqrt{(5 − ( - 3))² + (1 — ( - 5)) {}^{2} }

\sf \implies \: Distance =  \: \sqrt{(5  + 3)² + (1 +  5) {}^{2} }

\sf \implies \: Distance =  \: \sqrt{(8)² + (6) {}^{2} }

\sf \implies \: Distance =  \: \sqrt{ \: 64 \:  +  \:  \: 36 \:  }

\sf \implies \: Distance =  \: \sqrt{ \: 100 \:  }

\bf \implies \: Distance =  \: 10 \: units

klio [65]2 years ago
4 0

\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}

\sf \red{what \: is \: the \: distance \: the \: points(51) \: and ( - 3 - 5)}

\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}

Here,

x_{1} = 5. x_{2} = - 3

y_{1} = 1. y_{2 } = - 5

We know, Distance formula

\red \dag \boxed{\sqrt{  (x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} } } \red \dag

\sqrt{( - 3 - 5 )^{2}  + ( - 5 - 1)^{2} }  \\  \\  \leadsto \sqrt{( -  8)^{2} + (  - 6)^{2}  }  \\  \\  \leadsto \sqrt{64 +36 }  \\  \\  \leadsto \sqrt{100}   \\  \\  \leadsto10 \: units

Therefore, the required answer is 10 units.

I've written units because measurement is not given.

\boxed{ \frak \red{brainlysamurai}}

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