Answer:
Step-by-step explanation:
D = distance
[tex]x_{1}[/tex] = 4
[tex]x_{2}[/tex] = 17
No "y" values were given.
The distance formula:
[tex]D=\sqrt{(x_{1} - x_{2} )^{2} +(y_{1} - y_{2} )^{2}}[/tex]
If we insert in the values:
[tex]D = \sqrt{ (4 - 17)^{2} + (0 - 0)^{2}}[/tex]
(0-0)^2 = 0 so we can just remove the last part since it's +0:
[tex]D = \sqrt{(4 - 17)^{2}}[/tex]
4 - 17 is equal to -13:
[tex]D = \sqrt{(-13)^{2}}[/tex]
Since [tex](-a)^{2} = (a)^{2}[/tex], that means that the negative 13 becomes positive
[tex]D = \sqrt{(13)^{2}}[/tex]
Now the square root and the square cancels each other out:
[tex]D = 13[/tex]
Hope I could help you understand (●'◡'●)
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