SOLUTION: The point (a,b) is 5 units away from the point (6,3), and (a,b) lies on the line 5x - 4y = -14. What is the largest possible value of a?
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-> SOLUTION: The point (a,b) is 5 units away from the point (6,3), and (a,b) lies on the line 5x - 4y = -14. What is the largest possible value of a?
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Question 1024962
:
The point (a,b) is 5 units away from the point (6,3), and (a,b) lies on the line 5x - 4y = -14. What is the largest possible value of a?
Answer by
KMST(5328)
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):
You can
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There must be a less painful way to do this.
The distance from (a,b) to (6,3) is
, so
because point (a,b) ies on the line
.
-->
-->
-->
Substituting that expression in
we get
Multiplying both sides of the equal sign times
, we get
-->
Applying the quadratic formula, we get
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