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kirill [66]
3 years ago
10

Segment JK has a length of 4.5 units. If segment LM has end points of L (3,1) and M (-1,4), how much longer than segment JK is s

egment LM?
Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

Segment LM is 0.5 units longer than segment JK.

Step-by-step explanation:

We have been given that segment JK has a length of 4.5 units. If segment LM has end points of L (3,1) and M (-1,4).

We will find length of segment LM using distance formula.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute given values:

D=\sqrt{(3-(-1))^2+(1-4)^2}

D=\sqrt{(3+1)^2+(-3)^2}

D=\sqrt{(4)^2+(-3)^2}

D=\sqrt{16+9}

D=\sqrt{25}

D=5

Therefore, the distance of segment LM is 5 units.

Now, we will find the difference between segment LM and JK as:

\text{Difference between LM and JK}=5-4.5

\text{Difference between LM and JK}=0.5

Therefore, segment LM is 0.5 units longer than segment JK.

stepan [7]3 years ago
4 0
Distance formula:
d= \sqrt{ (x_{2}-x_{1}) ^{2}+( y_{2} - y_{1} )^{2}}\\ d= \sqrt{ (3-(-1)) ^{2}+(1 - 4 )^{2}}\\ d= \sqrt{ (4) ^{2}+(-3)^{2}}\\ d=\sqrt{16+9}\\ d=\sqrt{25}\\ d=5

5 units-4.5 units=0.5 units

LM is 0.5 units longer than LM.
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