SOLUTION: Find the distance between the two points of intersection of y = x^2 -x and
y = 3x+5
a. √10 b. 6 c. 6√10 d. 8 e. 2√130
Algebra.Com
Question 252283: Find the distance between the two points of intersection of y = x^2 -x and
y = 3x+5
a. √10 b. 6 c. 6√10 d. 8 e. 2√130
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the distance between the two points of intersection of y = x^2 -x and
y = 3x+5
-----------
Find the 2 points of intersection:
y = x^2 -x and
y = 3x+5
-----------
Since they both = y, the equal each other
x^2 - x = 3x + 5
x^2 - 4x - 5 = 0
(x-5)*(x+1) = 0
x = -1, y = 2 --> (-1,2)
x = 5, y = 20 --> (5,20)
------
Find the distance:
s^2 = diffy^2 + diffx^2 = 6^2 + 18^2
s^2 = 36 + 324 = 360
x = sqrt(360) = 6sqrt(10)
RELATED QUESTIONS
PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME.
√(2)[√(4y) - √(18)]... (answered by stanbon)
I need help finding the distance for this problem.
Find the distance between parallel... (answered by stanbon)
I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :)
1) The straight line with equation... (answered by richard1234)
Please help.
Rationalize the denominator of √x+√y/√x-√y... (answered by mananth)
If 2 ≤ x ≤ 6, which of the following has the greatest value?
(A) √x (answered by Fombitz)
5) For the equation x-2√x=0 , perform the following:
a) Solve for all values of... (answered by venugopalramana)
What is the equation of the line that contains the points with (x,y) coordinates (–3,7)... (answered by checkley71)
What is the equation of the line that contains the points with (x,y) coordinates (–3,7)... (answered by drk)
Find the distance between the points of intersection of graphs y=x^2+6 and... (answered by Alan3354)