Answer:
A) 40
B) 20
Step-by-step explanation:
By <em>Length · Width · Height</em>
A) (5) · (4) · (2) = 40
For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.
B) (5) · (4) · (1) = 20
So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: ![x^4+9x^2-4x^2-36](https://tex.z-dn.net/?f=%20x%5E4%2B9x%5E2-4x%5E2-36%20)
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: ![x^2(x^2+9)-4(x^2+9)](https://tex.z-dn.net/?f=%20x%5E2%28x%5E2%2B9%29-4%28x%5E2%2B9%29%20)
Now you can rewrite this as
, however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is
. Applying that here, we have
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: ![2x^2+10x-x-5](https://tex.z-dn.net/?f=%202x%5E2%2B10x-x-5%20)
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: ![2x(x+5)-1(x+5)](https://tex.z-dn.net/?f=%202x%28x%2B5%29-1%28x%2B5%29%20)
Now you can rewrite the equation as
. 2x^2 + 9x - 5 is completely factored.
<h3><u>Putting it all together, your factored expression is
![(x+2)(x-2)(x^2+9)(2x-1)(x+5)=0](https://tex.z-dn.net/?f=%20%28x%2B2%29%28x-2%29%28x%5E2%2B9%29%282x-1%29%28x%2B5%29%3D0%20)
</u></h3>
Answer:
the angle which is equal to its supplement is 90 degree
Answer:
examples of non-statistical questions are: how old are you?
Step-by-step explanation:
Non-Statistical Questions. The next type of question is the non-statistical question. This is the type of question that only has one answer. This one answer also doesn't change. You don't need to gather several points of data to answer the question.
Answer:
The heat from the sun is making the sand hot and heat from the food on plate is making the plate hot