A triangle with given measurement can only be drawn as one unique triangle and the angles would be unique for the particular triangle.
Hence, the correct answer is
Joo-Eun can only draw one unique triangle with these side lengths
Answer:
y= 2x
Step-by-step explanation:
y= mx+b
The slope (m) is 2/1 or just 2.
The y-intercept (b) is 0.
y= 2x
Answer:31270
Step-by-step explanation:
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:
400
Step-by-step explanation:
Method for rounding:
Look at the number 1 place before the place you are rounding to.
If it is greater than 4: round up
otherwise: round down.
Ok,
here the number we're looking at is 8 cuz' 8 is in the ones place.
8 is bigger than 4 so we round up.
398.223 becomes 400