Problem: The graph of x2+y=10x^{2}+y=10x2+y=10 and the graph of x+y=10x+y=10x+y=10 meet in two points. The distance between these two points is:
Answer Choices:
A. less than 1
B. 111
C. 2\sqrt{2}2​
D. 222
E. more than 2 Solution:
The intersection points are (0,10)(0,10)(0,10) and (1,9).(1,9).(1,9).
d=(−1)2+12=2d=\sqrt{(-1)^{2}+1^{2}}=\sqrt{2} d=(−1)2+12​=2​