Answer:
30
Step-by-step explanation:
There are many possible answers.
10:12
15:18
20:24
25:30
30:36
Answer: There are no real number roots (the two roots are complex or imaginary)
The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0
There are three cases
- If D < 0, then there are no real number roots and the roots are complex numbers.
- If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.
- If D > 0, then we get two different real number roots. Each root is rational if D is a perfect square and a,b,c are rational.
Given:
Slope of line F = 
Slope of line G = 
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F =
= 
Slope of line G =
=
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.
You will get paid $180 because there are 4, 7.5 hours in 30 hours so you multiply $45*4 and you get $180
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