Respuesta :

Sueraiuka

Step-by-step explanation:

Hey there!!!

Simply use distance formula to find the distance between two points.

The given points are; A (5,8) and B (-2,3).

Using distance formula.

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

Put all values.

[tex]d = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 8)}^{2} } [/tex]

Simplify them.

[tex]d = \sqrt{ {( - 7)}^{2} + ( { - 5)}^{2} } [/tex]

[tex]d = \sqrt{49 + 25} [/tex]

[tex]d = \sqrt{74} [/tex]

Therefore the distance between two points is 8.602units Or 9 units.

Hope it helps....

asuwafohjames

The distance between the two coordinate points is √74

What is the distance between two coordinate points?

Distance is the length between two coordinates in an x-y plane.

To calculate the distance between the two points, we use the formula below.

Formula:

  • d = √[(x₂-x₁)²+(y₂-y₁)²]............. Equation 1

From the question,

Given:

  • x₂ = -2
  • x₁ = 5
  • y₂ = 3
  • y₁ = 8

Substitute these values into equation 1

  • d = √[(-2-5)²+(3-8)²]
  • d = √[(-7)²+(-5)²]
  • d = √(49+25)
  • d = √(74)
  • d = √74

Hence, the distance between the two co-ordinate points is √74.

Learn more about distance between two coordinate points here: https://brainly.com/question/7243416

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