Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Point C is midpoint of segment AB for A (1, -2) and B (7,2). What is the length of segment AC? Round to the nearest tenth.

Sagot :

To find the point C, we need to use the formula for the midpoint:

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Then the point C is:

[tex]C=(\frac{7+1}{2},\frac{2+(-2)}{2})=(\frac{8}{2},\frac{0}{2})=(4,0)[/tex]

therefore, the point C is (4,0).

Now that we find the point C, we need to use the formula:

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

to find the length of the segment AC:

[tex]\begin{gathered} d(A,C)=\sqrt[]{(4-1)^2+(0-(-2))^2} \\ =\sqrt[]{(3)^2+(2)^2} \\ =\sqrt[]{9+4} \\ =\sqrt[]{13} \\ =3.6 \end{gathered}[/tex]

Therefore, the length of the segment AC is 13.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.