Answer :

Mistystar4881

Hey there!

[tex]\large\boxed{\sqrt{58}}[/tex]

Use the pythagorean theorem:

a² + b² = c²

a will be rise and b will be run.

Distance between 9 and 2 is 7.

Distance between 3 and 0 is 3.

Plug those into the equation.

7² + 3² = c²

Square.

49 + 9 = c²

Add.

58 = c²

Square root both sides.

√58 = c

This is the distance in radical form.

Hope this helps!

igoroleshko156

Answer:

The distance between these two points is [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Step 1:  Find the distance using the distance formula

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

Plug in 0 for [tex]x_2[/tex], 3 for [tex]x_1[/tex], 2 for [tex]y_2[/tex], 9 for [tex]y_1[/tex]

[tex]d = \sqrt{(0-3)^2+(2-9)^2}[/tex]

[tex]d = \sqrt{(-3)^2+(-7)^2}[/tex]

[tex]d=\sqrt{9+49}[/tex]

[tex]d=\sqrt{58}[/tex]

Answer:  The distance between these two points is [tex]\sqrt{58}[/tex]

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