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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

LearningDiagnosticAnalyticsRecommendationsSkill plansMatGA StandardsAlgebraG3 Midpoint formula find the endpoint V6The midpoint M of ST has coordinates 35 Point class=

Respuesta :

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

[tex]xm=\frac{x1+x2}{2}[/tex]

xm=4

x1=0

x2=x

we substitute the values

[tex]4=\frac{0+x}{2}[/tex]

we isolate x

[tex]\begin{gathered} x=4(2) \\ x=8 \end{gathered}[/tex]

the for the coordinate y

[tex]ym=\frac{y1+y2}{2}[/tex]

we have

ym=5

y1=9

y2=y

we substitute the values

[tex]\begin{gathered} 5=\frac{9+y}{2} \\ 10=9+y \end{gathered}[/tex]

then we isolate the y

[tex]\begin{gathered} y=10-9 \\ y=1 \end{gathered}[/tex]

the coordinate of C is (8,1)

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