SOLUTION: Can you help me figure out this problem please? Find the distance between the points of intersection of the graphs y = x^2 + 5 and y = 21 Thank you! -Tiffany

Algebra ->  Linear-equations -> SOLUTION: Can you help me figure out this problem please? Find the distance between the points of intersection of the graphs y = x^2 + 5 and y = 21 Thank you! -Tiffany      Log On


   

Question 780806: Can you help me figure out this problem please?

Find the distance between the points of intersection of the graphs
y = x^2 + 5 and y = 21
Thank you!
-Tiffany
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The first graph is a parabola. What is its x value when y = 21? That's where it intersects the line y=21.


21 = x^2 +5


16 = x^2 so x = + or - 4.


The points of intersection are (-4, 21) and (4, 21)


The distance between the two points is 8 units.