Answer:
Step-by-step explanation:
The discriminant of a quadratic equation is useful in determining the nature of its roots. Further, it can be solved by the equation,
D = b² - 4ac
From the given equation, b = 3, a = 2, and c = -5. Substituting the given to the equation,
D = 3² - (4)(2)(-5) = 49
Thus, the answer is the fourth choice, 49.
Right now, the ratio of nonfiction to fiction is 9:18. If this is reduced, it is a ratio of 1:2, so there needs to be twice as many fiction books as nonfiction.
If we add 6 fiction books, we have 24 fiction books. We can now set up this equation:

Now we cross multiply

We can solve for x by dividing both sides by two, so:
x = 12. There will be 12 nonfiction books.
Answer:
x = 25
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
That is ∠ D and ∠ B are corresponding angles and congruent, thus
4x - 20 = 2x + 30 ( subtract 2x from both sides )
2x - 20 = 30 ( add 20 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Answer:
x= 90/4*2x
Step-by-step explanation: