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bonufazy [111]
3 years ago
11

"Find the midpoint of AB .

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

The midpoint of AB = (x,y)=(1,1)

Step-by-step explanation:

Given : A line AB

To find : Midpoint of AB.

Solution :

Consider the figure


Then , Points of A =    (x_{1} ,y_{1} )   = (-2,0)


Points of B =    (x_{2} ,y_{2} )   = (4,2)


Now to find mid point we will use midpoint formula :


(x,y) =(\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )


(x,y) =(\frac{-2 +4 }{2},\frac{0 +2 }{2} )


(x,y) =(\frac{2 }{2},\frac{2 }{2} )


(x,y) =(1,1 )


Thus, The midpoint of AB = (x,y)=(1,1)






snow_tiger [21]3 years ago
3 0
Hola amigo! :3

The answer would be (1,1)
So B is correct.
Hope this helps.

Adios amigo. 
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Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

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∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

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