Answer:

Step-by-step explanation:
We are given zeros as x=-4, x=-2
so, we can set up function as

Vertex is at (-1,3)
It means that graph passes through point (-1,3)
so, we can plug x=-1 and f(x)=3
and then we can solve for 'a'

we get

now, we can plug it back
and we get

now, we can simplify it

We will solve using the law of sines as follows:

Now, we solve for X:
![\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}](https://tex.z-dn.net/?f=%5CRightarrow%20X%3D%5Cfrac%7B%5Csin%2860%29%7D%7B%5Csin%2830%29%7D%5CRightarrow%20X%3D%5Csqrt%5B%5D%7B3%7D)
So, the length of X is sqrt(3).
The sum of all three angles in any triangle is always 180 degrees. So in obtuse triangle there is only one obtuse angle (more than 90 degrees). If we have for example an obtuse angle of 91 degrees, then two other angles have to fit in 89 degrees which makes it impossible for any of them to be obtuse.
Step-by-step explanation:
A quadratic graph will surely help you find the solutions
X2-x-2=0
x1=2 x2= -1
Substitute each of the x value in the original equation to get the y value
(2)^2-(2)-2= 0 (2,0)
(-1)^2-(-1)-2=-2 (-1,-2)
plot the coordinates on the graph,the graph should be a curve
Answer:
C. R = 17.9 degrees
Step-by-step explanation:
We have a rectangle triangle with the adjacent side and the opposite side (neither of which are the hypotenuse).
The relation between those elements is the tangent:

So, to isolate the angle, we modify the formula as such:

If we round 17.87 degrees to the tenth... we get 17.9 degrees.