Question

LearningDiagnosticAnalyticsRecommendationsSkill plansMatGA StandardsAlgebraG.3 Midpoint formula: find the endpoint V6The midpoint M of ST has coordinates (3,5), Point S has coordinates (0, 2). Find thecoordinates of point T.Write the coordinates as decimals or integers,T=CSubmit

Answer 1

We have the segment BC, M is the midpoint

M (4,5)=(xm,ym)

B(0.9) =(x1,y1)

C(x,y)=(x2,y2)

We have the next formula

`xm=(x1+x2)/(2)`

xm=4

x1=0

x2=x

we substitute the values

`4=(0+x)/(2)`

we isolate x

`\begin{gathered} x=4(2) \\ x=8 \end{gathered}`

the for the coordinate y

`ym=(y1+y2)/(2)`

we have

ym=5

y1=9

y2=y

we substitute the values

`\begin{gathered} 5=(9+y)/(2) \\ 10=9+y \end{gathered}`

then we isolate the y

`\begin{gathered} y=10-9 \\ y=1 \end{gathered}`

the coordinate of C is (8,1)