SOLUTION: The lines y = 3x - 25 and y = -3/4x + 17 intersect at point P. How far is P from the origin?

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Question 1047115: The lines y = 3x - 25 and y = -3/4x + 17 intersect at point P. How far is P from the origin?
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
.......eq.1
.......eq.2
-----------------------------------since left sides equal, we have

......solve for







or approximately

find :
.......eq.1




or approximately

so, the lines intersect at point P (,)
to find out how far is P from the origin (,), use distance formula:
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (0, 0), we can say (x1, y1) = (0, 0)
So ,


Since the second point is (11.2, 8.6), we can also say (x2, y2) = (11.2, 8.6)
So ,


Put this all together to get: , , , and

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (0, 0) and (11.2, 8.6)






Plug in , , , and













==========================================================

Answer:


The distance between the two points (0, 0) and (11.2, 8.6) is exactly units


The approximate distance between the two points is about 14.1209064864831 units



So again,


Exact Distance: units


Approximate Distance: units
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