Question

Question 7 3 point(s) Refer to the diagram below to answer the following questions: (a) What is the midpoint of segment Given: Points S(-2,6) amd T(2,-4) S ST? (b) What is the length of segment ST? T Response *Hint Use maximize tool if images or video cut off BI U TK -LEX show more tools Font Medium 2 x, X A

Answer 1

We have the following:

The points S(-2,6) and T(2,-4)

a.

the midpoint is:

`m=((x_1+x_2)/(2),(y_1+y_2)/(2))`

replacing:

`m=((-2+2)/(2),(6+-4)/(2))=(0,1)`

b.

the length is segment:

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

replacing:

`\begin{gathered} d=\sqrt[]{(2_{}-(-2)_{})^2+(-4-6_{})^2} \\ d=\sqrt[]{(2_{}+2)^2+(-4-6_{})^2} \\ d=\sqrt[]{(4)^2+(-10)^2} \\ d=\sqrt[]{16+100}=\sqrt[]{116}=10.8 \\ \end{gathered}`

The length is 10.8