Answer:
1) x= -1
2) x= 36.7° (1 d.p.)
Step-by-step explanation:
Please see attached picture for full solution.
The equation of a parabola is given. y=
Here the value of 'a' = 18 and it is positive, it means the parabola opens up.
For vertical parabola the focus point is (h , k+p)
Where (h,k) is the vertex and p = (p is the distance between vertex and focus)
First we find vertex (h,k)
h =
a = 18 and b = 4
So h= = =
Plug in -1/9 for x and find out k
k =
=
=
So vertex is (, )
P = , we know a= 18
So p = =
Focus is ( h, k +p)
h = k =
and p =
k + P = +
Take common denominator 72
k + p = + = =
Focus point is ( , )
When it is perpendicular, the slope is the negative reciprocal so it would equal -3/2x. Plug in the points to the equation so you can find the intercept. -8=-3/2(4)+b
Combine: -8=-6+b
Add 6: -2=b
The equation would be f(x)=-3/2x-2
Hope this helped and sorry if I am wrong!
The answer is the range. The outliner is anything that “lies outside.” Range is the highest#-lowest#. So 78-28 = 50, which is not close the numbers that occurred most often (in this case, the #s in the 30s).