Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(3,-5) and (-5, -7)

Answer 1

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 :

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

★ Putting the values :

• Refer the attachment.

Additional Information :

★ Midpoint of two points:-

• 
  `\boxed{ \sf{M \: = \: (x_1 \: + \: x_2 )/(2) \: , \: (y_1 \: + \: y_2 )/(2)}} \: \pink\bigstar`

★ Centroid of a triangle :-

• 
  `\boxed{ \sf{Centroid \: = \: (x_1 \: + \: x_2 \: + \: x_3)/(3) }} \: \pink\bigstar`

Answer 2

8.24

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,

`:\implies` D = √{(x2-x1)² + (y2-y1)²}

`:\implies` D =√[ (3+5)² +(-5+7)²]

`:\implies` D =√[ 8² +2²]

`:\implies` D =√[ 64 +4]

`:\implies` D = 8.24

Hence the distance between the two points is 8.24 units .