Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 segment LM?

Sagot :

a386
Distance formula:
[tex]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[/tex]

5 units-4.5 units=0.5 units

LM is 0.5 units longer than LM.

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.

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

Substitute given values:

[tex]D=\sqrt{(3-(-1))^2+(1-4)^2}[/tex]

[tex]D=\sqrt{(3+1)^2+(-3)^2}[/tex]

[tex]D=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]D=\sqrt{16+9}[/tex]

[tex]D=\sqrt{25}[/tex]

[tex]D=5[/tex]

Therefore, the distance of segment LM is 5 units.

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

[tex]\text{Difference between LM and JK}=5-4.5[/tex]

[tex]\text{Difference between LM and JK}=0.5[/tex]

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

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.