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Pavlova-9 [17]
2 years ago
13

C is the midpoint of segment AB. Find the value of m+k.

Mathematics
1 answer:
lukranit [14]2 years ago
8 0

Answer:

The value of m + k = 5+\frac{1}{2} = \frac{11}{2}.

Step-by-step explanation:

We are given that C is the midpoint of segment AB where A(-3,m) , B (4, -1) , and C (k, 2).

As we know that the mid-point formula states that;

Mid-point = \frac{a+b}{2}

This means that;

Mid-point of AB = \frac{A+B}{2}

C(k, 2) = (\frac{-3+4}{2}, \frac{m+(-1)}{2} )

C(k, 2) = (\frac{1}{2}, \frac{m-1}{2} )

This means that;

k = \frac{1}{2}  and  2=\frac{m-1}{2}

k = \frac{1}{2}  and  m-1=4

k = \frac{1}{2}  and  m = 4+1 = 5

So, the value of m + k = 5+\frac{1}{2} = \frac{11}{2}.

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