Answer:
Step-by-step explanation:
First reduce this to lowest term

Answer:
square inches
Step-by-step explanation:
For the rectangular prism in the middle:



For the left triangular prism:





For the other right triangular prism, it's the same.
Let's add now to find the surface for the whole ramp.

Hope this is helpful to you
Answer:
k = - 3
Step-by-step explanation:
Given that x = 3 is a solution then it satisfies the equation, that is
2(3)² - 5(3) + k = 0
2(9) - 15 + k = 0
18 - 15 + k = 0
3 + k = 0 ( subtract 3 from both sides )
k = - 3
Answer:

Step by step explanation:
![\text{Given that, two roots are}~ -4~ \text{and}~ 4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64](https://tex.z-dn.net/?f=%5Ctext%7BGiven%20that%2C%20%20two%20roots%20are%7D~%20-4~%20%5Ctext%7Band%7D~%20%204i.%5C%5C%5C%5C%5Ctext%7BLet%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%204i%5C%5C%5C%5C%5Cimplies%20%20x%5E2%20%3D%2016i%5E2~~~~~~~%3B%5B%5Ctext%7BSquare%20on%20both%20sides%7D%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%3D%20-16~~~~~~~~%3B%5Bi%5E2%20%3D%20-1%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%2B16%20%3D%200%5C%5C%5C%5C%5Ctext%7BSo%2C%7D~%20x%5E2%20%2B16~%20%5Ctext%7B%20is%20a%20factor%20of%20the%203%20degree%20polynomial%7D.%5C%5C%20%5C%5C%20%5Ctext%7BThe%20polynomial%20is%20%2C%7D%5C%5C%5C%5C%20f%28x%29%20%3D%20%28x%2B4%29%28x%5E2%20%2B16%29%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B16x%20%2B4x%5E2%20%2B64%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B4x%5E2%20%2B16x%20%2B64)
Answer: the expressions above has 2 factors. 3 and 40 + n