What is the distance between (6, 2) and (-3, -2)?

9
3

5

Question

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Respuesta :

absor201 absor201 · Answer 1 · 2019-06-07T06:25:58+02:00

Answer:

Option A is correct.

Step-by-step explanation:

Distance between two points can be calculated from formula

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Here x₁ = 6, y₁ = 2,x₂ = -3 and y₂ = -2

Putting the values in the formula

[tex]d = \sqrt{(-3-(6))^2+(-2-(2))^2}\\d = \sqrt{(-3-6)^2+(-2-2)^2} \\d = \sqrt{(-9)^2+(-4)^2} \\d = \sqrt{81+16}\\d = \sqrt{97}\\d= 9.85[/tex]

So, the distance between points (6, 2) and (-3, -2) is 9.85 or ≈ 9.

So, Option A is correct.

kudzordzifrancis kudzordzifrancis · Answer 2 · 2019-06-07T06:33:02+02:00

ANSWER

[tex] \sqrt{ 97 }[/tex]

EXPLANATION

The formula for calculating the distance between two points is

[tex]d = \sqrt{ {(x_2-x_1)}^{2} +(y_2-y_1)^{2} } .[/tex]

We use this formula to find the distance between (6,2) and (-3,-2)

We plug in the points to get,

[tex]d = \sqrt{ {( - 3-6)}^{2} +( - 2-2)^{2} } .[/tex]

[tex]d = \sqrt{ {( - 9)}^{2} +( - 4)^{2} } .[/tex]

[tex]d = \sqrt{ 81+16}[/tex]

[tex]d = \sqrt{ 97 }[/tex]

The distance between the two given points is

[tex] \sqrt{ 97 }[/tex]