Given a quadratic equation in standard form
The discriminant D
tells the types of roots the equation has.
In this case, we have
Then, the discriminant of this quadratic equation will be
Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.
Answer:
Its red becasue 1/2 is greater than all of them
the volume of the triangular prism will be, the area of the triangular face times its length
![\stackrel{\textit{area of the triangle}}{\left[ \cfrac{1}{2}(\underset{b}{8})(\underset{h}{8}) \right]}~~ ~~\stackrel{length}{(x)}~~ = ~~\stackrel{volume}{576}\implies 32(x)=576 \\\\\\ 32x=576\implies x=\cfrac{576}{32}\implies x=18](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20triangle%7D%7D%7B%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%28%5Cunderset%7Bb%7D%7B8%7D%29%28%5Cunderset%7Bh%7D%7B8%7D%29%20%5Cright%5D%7D~~%20~~%5Cstackrel%7Blength%7D%7B%28x%29%7D~~%20%3D%20~~%5Cstackrel%7Bvolume%7D%7B576%7D%5Cimplies%2032%28x%29%3D576%20%5C%5C%5C%5C%5C%5C%2032x%3D576%5Cimplies%20x%3D%5Ccfrac%7B576%7D%7B32%7D%5Cimplies%20x%3D18)
Answer:
15
Step-by-step explanation:
Let n represent the number of twelvths in 5/4.
Expressed symbolically, this is n/12 = 5/4.
The LCD is 12. Multiply numerator and denominator of 5/4 by 3, obtaining:
n/12 = 15/12. Then n = 15.
There are 15 twelves in 5/4.
