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anonymous
 5 years ago
Find the distance from the point of intersection of the lines 2x+3y=10 and 3xy=4 to the line 5x6y=1
anonymous
 5 years ago
Find the distance from the point of intersection of the lines 2x+3y=10 and 3xy=4 to the line 5x6y=1

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0First find the point set both your equations equal and solve for (x,y) (you could probably even get it by guessing) Then use the distance formula from a point to a line

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The point is 2,2 but I think I'm using the formula for the distance from a point to a line incorrectly... Could you show me how you'd do it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay, the point is (2,2) and the line is 5x6y=1 So the formula you can use is just \[\sqrt{ax+by+c} \div \sqrt{a ^{2}}+b ^{2}\] Where the point is (x,y) and the line is ax+by+c=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops.. the ax by and c terms chould all be squared under the root

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0actually looking again.. they aren't squared. the first formula is right

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(without the square root)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah That's the formula I have

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the equation is actually just ax +by+c / sqrt(a^2 + b^2 )

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But I'm supposed to use the absolute value, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and that's what I think was making me do the question wrong

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so it should be 3 right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah, but the answer is 0.38

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So does the absolute value apply to the denominator too?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well both terms are squared so it won't matter for the bottom

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So... The bottom should be ... \[\sqrt{61}\] right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hallelujah the right answer! Finally :) Thanks for your help :)
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