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What is the distance between the points of intersection of the graphs y= and y= 6-x
a. √26 c. 2√37
b. 5√2 d. √170
I started by setting the equations equal to each other and solving for x, which gave me 2 and -3. Then, I plugged these x-values back in and got the coordinate points (2,3) and (-3,-12). Then, using the Pythagorean Theorem (distance formula), I tried to get the distance between the two points.
√[(-3-2) + ] = √
I ended up getting the square root of 250, or 5 on the square root of 10 equals c. Of course, this isn't one of the answer choices. I'd like to know where I went wrong (or if I did it totally wrong), and how I can correctly solve the equationExplanation & Answer
this step is wrong.
Then, I plugged these x-values back in
and got the coordinate points (2,3) and (-3,-12).
On plugging the value of x you should be getting (2,4) and (-3,9)
you can use y =x^2 to find the above values of 4 and 9
distance of (2,4) and (-3,9) = sqrt[(2-(-3))^2 + (4-9)^2] = sqrt ( 5^2 + (-5)^2) = sqrt(25+25) = 5√2
Hope this helps :)
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