The shape of the cross-section parallel to the base of the box is rectangle
<h3>How to determine the shape?</h3>
The dimensions of the box is given as:
7 ¾ inches by 12 ¼ inches by 3 ¼ inches
The dimensions are not equal.
This means that the box is a rectangular prism
The cross-section of a rectangular prism is a rectangle
Hence, the shape of the cross-section parallel to the base of the box is rectangle
Read more about cross-section at:
brainly.com/question/15541891
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Answer:
it does represent a linear function.
Step-by-step explanation:
y+1=h+1
Y - Years old
H - Height
You need to d to one side of the equation by itself and them use PEMDAS to solve your answer
Answer:
![f(t) = 4(t-1)^2 +4](https://tex.z-dn.net/?f=%20f%28t%29%20%3D%204%28t-1%29%5E2%20%2B4)
So then we see that the required values are:
![a = 4, h =1, k =4](https://tex.z-dn.net/?f=%20a%20%3D%204%2C%20h%20%3D1%2C%20k%20%3D4)
And the vertex for this case would be:
![V_x = -\frac{-8}{2*4} = 1](https://tex.z-dn.net/?f=%20V_x%20%3D%20-%5Cfrac%7B-8%7D%7B2%2A4%7D%20%3D%201)
![V_y = 4](https://tex.z-dn.net/?f=%20V_y%20%3D%204)
![V(1,4)](https://tex.z-dn.net/?f=%20V%281%2C4%29)
Step-by-step explanation:
For this case we have the following function given:
![f(t) = 4t^2 -8t +8](https://tex.z-dn.net/?f=%20f%28t%29%20%3D%204t%5E2%20-8t%20%2B8)
And we want to wrote this equation in the form a(x − h)2 + k
We can divide both sides of the equation and we got:
![\frac{f(t)}{4} = t^2 -2t +2](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%28t%29%7D%7B4%7D%20%3D%20t%5E2%20-2t%20%2B2)
Now we can comple the square in the rigth part with this:
![\frac{f(t)}{4} = t^2 -2t +1 +(2-1)](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28t%29%7D%7B4%7D%20%3D%20t%5E2%20-2t%20%2B1%20%2B%282-1%29)
![\frac{f(t)}{4} = (t^2 -2t +1) +(2-1)= (t-1)^2 +1](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28t%29%7D%7B4%7D%20%3D%20%28t%5E2%20-2t%20%2B1%29%20%2B%282-1%29%3D%20%28t-1%29%5E2%20%2B1)
And now we can multiply both sides by 4 and we got:
![f(t) = 4(t-1)^2 +4](https://tex.z-dn.net/?f=%20f%28t%29%20%3D%204%28t-1%29%5E2%20%2B4)
So then we see that the required values are:
![a = 4, h =1, k =4](https://tex.z-dn.net/?f=%20a%20%3D%204%2C%20h%20%3D1%2C%20k%20%3D4)
And the vertex for this case would be:
![V_x = -\frac{-8}{2*4} = 1](https://tex.z-dn.net/?f=%20V_x%20%3D%20-%5Cfrac%7B-8%7D%7B2%2A4%7D%20%3D%201)
![V_y = 4](https://tex.z-dn.net/?f=%20V_y%20%3D%204)
![V(1,4)](https://tex.z-dn.net/?f=%20V%281%2C4%29)
Answer:
(800 x 9) + (10 x 9)
Step-by-step explanation:
Find out what 810 x 9 is:
810 x 9 = 7290
Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):
(800 x 9) = 7200
(10 x 9) = 90
7200 + 90 = 7290