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For the line segment whose endpoints are A (0, 0) and B (4, 3), find the x coordinate for the point located 2 over 3 the distance from A to B.
A. 2.2
B. 2.7
C. 3.3
D. 3.5


Sagot :

The x coordinate should be Option C i.e. 3.3.

Given that,

 

  • The line segment whose endpoints are A (0, 0) and B (4, 3).

Based on the above information, the calculation is as follows:

Distance between AB should be  

[tex]AB = \sqrt (3-0)^2+(4-0)^2\\\\AB = \sqrt(3^2+4^2)\\\\AB =\sqrt(9+16)\\\\AB = \sqrt(25)[/tex]

AB = 5

2 over 3 the distance from A to B is expressed as;

= 2by 3 of AB

[tex]= 2\div 3 \times 5\\\\=10\div 3[/tex]

= 3.3

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