Inverse variation:
![y=\frac{k}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bk%7D%7Bx%7D)
k is a constant
Use the given information (when x=4 y=4) to find the value of the constant:
![\begin{gathered} 4=\frac{k}{4} \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4\times4=4\times\frac{k}{4} \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204%3D%5Cfrac%7Bk%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%5Ctext%7BMultiply%20both%20sides%20of%20the%20equation%20by%204%3A%7D%20%5C%5C%204%5Ctimes4%3D4%5Ctimes%5Cfrac%7Bk%7D%7B4%7D%20%5C%5C%20%20%5C%5C%2016%3Dk%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20k%3D16%20%5Cend%7Bgathered%7D)
Then, the given relationship has the next equation:
![y=\frac{16}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B16%7D%7Bx%7D)
Use the equation above to find y when x=2:
![\begin{gathered} y=\frac{16}{2} \\ \\ y=8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%5Cfrac%7B16%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20y%3D8%20%5Cend%7Bgathered%7D)
Then, when x=2, y=8
Answer:
D
Step-by-step explanation:
Answer:
Because they are equal (Right angle)
Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The answer is A, because the Y-intersect starts at -2
<em>Formula:</em>
![\bigg( \dfrac{radius_1}{radius_2} \bigg)^2 = \dfrac{area_1}{area_2}](https://tex.z-dn.net/?f=%5Cbigg%28%20%5Cdfrac%7Bradius_1%7D%7Bradius_2%7D%20%5Cbigg%29%5E2%20%3D%20%20%5Cdfrac%7Barea_1%7D%7Barea_2%7D%20)
<em>Plug in the values:</em>
![\bigg( \dfrac{r}{44} \bigg)^2 = \dfrac{1}{121}](https://tex.z-dn.net/?f=%5Cbigg%28%20%5Cdfrac%7Br%7D%7B44%7D%20%5Cbigg%29%5E2%20%3D%20%5Cdfrac%7B1%7D%7B121%7D)
<em>Simplify LHS:</em>
![\dfrac{r^2}{1936} = \dfrac{1}{121}](https://tex.z-dn.net/?f=%5Cdfrac%7Br%5E2%7D%7B1936%7D%20%20%3D%20%5Cdfrac%7B1%7D%7B121%7D)
<em>Multiply by 1936 on both sides:</em>
![r^2 = \dfrac{1936}{121} ](https://tex.z-dn.net/?f=r%5E2%20%20%3D%20%5Cdfrac%7B1936%7D%7B121%7D%0A)
<em>Simplify RHS:</em>
![r^2 = 16](https://tex.z-dn.net/?f=r%5E2%20%3D%2016)
<em>Square root both sides:</em>
Answer: The radius is 4 units. (Answer B)