Answer:
see below
Step-by-step explanation:
3 ^ ( 6/5)
The base a is 3
The power is 6 which is b
the root is 5 which is c
![\sqrt[5]{3^6}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B3%5E6%7D)
Answer:
10
Step-by-step explanation:
2 times 5 is 10
Answer:
Step-by-step explanation:
The standard form of a parabola is
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:
and c = 400.
Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If
and h = 1, then
and
2a = -b so
b = -2a. Save that for a minute or two.
If
and k = 405, then
and
and
405 = 400 - 4a and
5 = -4a so
![a=-\frac{5}{4}](https://tex.z-dn.net/?f=a%3D-%5Cfrac%7B5%7D%7B4%7D)
We will use that a value now to find the value of b. If b = -2a, then
and
![b=\frac{10}{4}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B10%7D%7B4%7D)
Writing our parabolic equation now:
![y=-\frac{5}{4}x^2+\frac{10}{4}x+400](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B4%7Dx%5E2%2B%5Cfrac%7B10%7D%7B4%7Dx%2B400)
Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:
and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get
Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are
x = -16.91647287 and 18.91647287
Its also 40°30' because the median is also a bisector in isosceles triangle