Find the distance between the two points rounding to the nearest tenth (if necessary).
(3,-5) and (-5, -7)

Respuesta :

Answer:

8.24

Step-by-step explanation:

Given :-

  • Two points (3,-5) and (-5,-7) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

[tex]:\implies[/tex] D = {(x2-x1)² + (y2-y1)²}

[tex]:\implies[/tex] D =[ (3+5)² +(-5+7)²]

[tex]:\implies[/tex] D =[ 8² +2²]

[tex]:\implies[/tex] D =[ 64 +4]

[tex]:\implies[/tex] D = 8.24

Hence the distance between the two points is 8.24 units .

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

  • (3,-5) and (-5, -7)

Distance Formula :

  • [tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

Putting the values :

  • Refer the attachment.

Additional Information :

Midpoint of two points:-

  • [tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]

Centroid of a triangle :-

  • [tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]
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