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M is the midpoint of CF for the points c(3,7) and f(5,5). Find MF

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Final answer:

To find the length of MF, the distance formula is used after calculating the midpoint M of CF with coordinates C(3,7) and F(5,5), resulting in MF being √2 units.

Step-by-step explanation:

The question asks to find the distance MF, where M is the midpoint of segment CF given the coordinates of the points C(3,7) and F(5,5). To find the coordinates of M, we need to use the midpoint formula:

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)

Using the given points C(3,7) and F(5,5), we get:

M = ((3 + 5)/2, (7 + 5)/2) = (4, 6)

Now, we will use the distance formula to calculate MF:

Distance formula: D = √((x2 - x1)² + (y2 - y1)²)

Since M(4,6) and F(5,5) are the points in question, plugging in these values yields:

MF = √((5 - 4)² + (5 - 6)²) = √((1)² + (-1)²) = √(1 + 1) = √2

So, the length of segment MF is √2 units.

User Pottercomuneo
by
8.3k points
1 vote
Find the middle points between m and f and mark it mf
User Xavier Dury
by
8.5k points

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