Respuesta :

Ben

Answer:

[tex]\sqrt{85}[/tex] (about 9.2195) units

Step-by-step explanation:

The formula for the distance between two points is: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Substitute the values. [tex]\sqrt{(-5 - 4)^2 + (8 - 6)^2}[/tex]

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

Solve the exponents. [tex]\sqrt{81 + 4}[/tex]

Add. [tex]\sqrt{85}[/tex]

This is as simple as the solution can get without estimating, but we can use a calculator to estimate that the distance is about 9.2195 units.

cher

Hey there! :)

Find the distance between (-5, 8) (4, 6)

The formula to find the distance is : d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2[/tex]

Where : -5 = x1 , 4 = x2 , 8 = y1 , 6 = y2

Now, simply plug everything into our equation.

[tex]d = \sqrt{(4 + 5)^2 + (6 - 8)^2}[/tex]

Let's simplify this now.

[tex]d = \sqrt{9^2 - 2^2}[/tex]

Simplify again.

[tex]d = \sqrt{81 + 4} = \sqrt{85}[/tex]

Therefore, our distance is [tex]\sqrt{85}[/tex] OR 9.22

Hope this helped! :)

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