Answer: 11 < x < 35
suppose: the length of the third side is x
because x is the third side of a triangle
=> 23 - 12 < x < 23 + 12
⇔ 11 < x < 35
Step-by-step explanation:
set them equal to each other
x²+1=x+1
minus 1 from both sides
x²=x
minus x both sides
x²-x=0
factor
x(x-1)=0
set each to 0
x=0
x-1=0
x=1
subsitute back to find y values
y=x+1, y=0+1, y=1, one point is (0,1)
y=x+1, y=1+1, y=2, another point is (1,2)
the 2 points of intersection are (0,1) and (1,2)
3x^2 + 6x - 10 = 0
x = [-6 +/- sqrt(^2 - 3*3*-10)] / 2*3
= 1.08 and -3.08
Other x -intercept is (-3.08,0)
Answer:
3
Step-by-step explanation:
420=2x2x3x5x7
recall that 2,3,5,7 are all prime numbers