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For Exercises 6-9, find the coordinates of each pointdescribed in relation to line segment CD.6. of the way from C to D7. of the way from D to C8. of the way from C to D9. of the way from D to Cnim nm10. What is the distance formula?

For Exercises 69 find the coordinates of each pointdescribed in relation to line segment CD6 of the way from C to D7 of the way from D to C8 of the way from C t class=

Respuesta :

Step 1

State the formula for the distance of a line.

[tex]d=\sqrt[]{(x_2-x_1)+(y_2-y_1)}[/tex][tex]\begin{gathered} C=(-1,7) \\ D=(5,1) \end{gathered}[/tex]

Step 2

Find the length of line CD

[tex]\begin{gathered} d=\sqrt[]{(5-(-1))^2+(1-7)^2_{}} \\ d=\sqrt[]{6^2+(-6)^2} \\ d=\sqrt[]{36+36} \\ d=\sqrt[]{72} \\ d=6\sqrt[]{2} \end{gathered}[/tex]

Step 3

Find 1/3 of the way from C and D

[tex]=\frac{1}{3}\times6\sqrt[]{2}=2\sqrt[]{2}[/tex]

Step 4