In order to see how many real roots it has you have to see what the Δ is
So if Δ>0 then there are 2 real roots
If Δ=0 there is 1 real root
If Δ<0 no real root
And we know that:
Δ=b^2-4ac
So in the equation: Δ=b^2+4 and b^2 is always a number greater than or equal to 0 so when you add 4 to it, it is always greater than 0
So it has 2 real roots
This problem is about triangles.
We must apply the trigonmetric relations to solve this.
I can see we have a right angle triangle.
Let's use the idea of the tangent.
tan (22º) = building height / shadow length
Let's plug given data on above formula:
tan(22º) = 610 ft / shadow length
I looked up and got tan(22º) = 0.40, so:
0.40 = 610 ft / shadow length
shadow length = 610 ft / 0.40
shadow length = 1,525 ft
Answer: shadow length is 1,525 ft .
X-5 is greater than or equal to -28
X*4 is less than or equal to -10
(x/3) + 6 is greater than 14
so 3x2 equals 6 and 0 x 1 equals 0 so 0x6 equals 0 so its zero
