Answer: 18767.76
Step-by-step explanation:
Answer:
D)The height of the red prism is three times the height of the blue prism
Step-by-step explanation:
Here is the complete question
Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.
which statement is true?
a)The height of the red prism is one-third the height of the blue prism
B)The height of the red prism is the same as the height of the blue prism
C)The height of the red prism is six times the height of the blue prism.
D)The height of the red prism is three times the height of the blue prism
Solution
Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂
A₂h₁/3 = A₂h₂
h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.
3terms = trinomial (7a^2, 4a, -12)
Degree of each term 2nd, 1st, constant
Largest degree: 2nd
Answer: 2nd degree trinomial
Answer:
![x=-5\\x=0\\x=3](https://tex.z-dn.net/?f=x%3D-5%5C%5Cx%3D0%5C%5Cx%3D3)
Step-by-step explanation:
I assume your equation to solve is
![(x+5)(x^2-3x)=0](https://tex.z-dn.net/?f=%28x%2B5%29%28x%5E2-3x%29%3D0)
When we have a product of two factors equal to zero,
![A\cdot B = 0](https://tex.z-dn.net/?f=A%5Ccdot%20B%20%3D%200)
The solution is either A = 0 or B = 0.
In this case, this means that we can break the equation into two equations:
![x+5=0\\x^2-3x=0](https://tex.z-dn.net/?f=x%2B5%3D0%5C%5Cx%5E2-3x%3D0)
Solving the first one, we get:
![x+5=0 \rightarrow x = -5](https://tex.z-dn.net/?f=x%2B5%3D0%20%5Crightarrow%20x%20%3D%20-5)
For the second one, we rewrite it as:
![x^2-3x=0\\x(x-3)=0](https://tex.z-dn.net/?f=x%5E2-3x%3D0%5C%5Cx%28x-3%29%3D0)
And we see that this equation has two solutions:
![x=0\\x=3](https://tex.z-dn.net/?f=x%3D0%5C%5Cx%3D3)
Therefore, the three solutions are:
![x=-5\\x=0\\x=3](https://tex.z-dn.net/?f=x%3D-5%5C%5Cx%3D0%5C%5Cx%3D3)