Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.
We have been given a quadratic function 
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is 
.
If we restrict the domain of this function to either ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
or 
, it will become one to one function.
Let us know find its inverse.
Upon interchanging x and y, we get:
Let us now solve this function for y.
Hence, the inverse function would be 
if we restrict the domain of original function to and the inverse function would be 
if we restrict the domain to .
To answer this we need the coordinates of the first three points.
Answer: 6 students
Step-by-step explanation:
The teacher wants to give each student 2/3 of a slice of pizza but only has 4 slices to give.
If each student gets 2/3 out of 4 slices, the number of students receiving will be:
= Slices / proportion per slice
= 4 / 2/3
= 4 * 3/2
= 12/2
= 6 students
Answer:
B. 0.69
Step-by-step explanation:
Law of Cosines: cos A = (b² + c² - a²) / 2bc
cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69
