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a_sh-v [17]
3 years ago
14

Write the following coordinates where they belong in the line segments below. (5 1/2, -4 1/4) _______ (3 3/4, -1 1/4)

Mathematics
1 answer:
Ket [755]3 years ago
3 0

ANSWER

(4 \frac{5}{8} , -  2\frac{3}{4} )

EXPLANATION

The end points of the segment are:

(5 \frac{1}{2} ,-4 \frac{1}{4} )

and

(3 \frac{3}{4} ,-1 \frac{1}{4} )

The box represents the midpoint of the two points.

Using the midpoint formula;

( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

We substitute the end points of the line segment to obtain,

( \frac{5 \frac{1}{2} +3 \frac{3}{4} }{2} , \frac{ - 4 \frac{1}{?} + - 1 \frac{1}{4} }{2} )

This simplifies to:

( \frac{37}{8} , -  \frac{11}{4} )

We convert back to mixed numbers to get,

(4 \frac{5}{8} , -  2\frac{3}{4} )

The correct choice is B

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