Answer:
40 degrees
Step-by-step explanation:
If the angle is split into 2 angles, each measuring 20 degrees, then the original angle measures 20(2)=40 degress.
Check the picture below. So the parabola looks more or less like so.
![\bf \textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bhorizontal%20parabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%204p%28x-%20h%29%3D%28y-%20k%29%5E2%20%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bfocus~point%7D%7B%28h%2Bp%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bdirectrix%7D%7Bx%3Dh-p%7D%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22p%22~is~negative%7D%7Bop%20ens~%5Csupset%7D%5Cqquad%20%5Cstackrel%7B%22p%22~is~positive%7D%7Bop%20ens~%5Csubset%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20h%3D-5%5C%5C%20k%3D2%5C%5C%20p%3D4%20%5Cend%7Bcases%7D%5Cimplies%204%284%29%5Bx-%28-5%29%5D%3D%5By-2%5D%5E2%5Cimplies%2016%28x%2B5%29%3D%28y-2%29%5E2%20%5C%5C%5C%5C%5C%5C%20x%2B5%3D%5Ccfrac%7B1%7D%7B16%7D%28y-2%29%5E2%5Cimplies%20x%20%3D%20%5Ccfrac%7B1%7D%7B16%7D%28y-2%29%5E2-5)
A Domain is the lowest and highest x value (-5,-2) is how it is formatted this means -5 to -2
Range is the lowest to highest Y value so (-3,3)
(-5,-2) - domain
(-3,3) - range
B Intercept are when the line crosses the acis labeled x so
(-2,0) and (2,0)
C F(1) means what is x when y is equal to 1 so we must estimate this
(-1,1) and (1.5,1)
D f(x) = -3 is when y is -3 so we look at the graph to see
-5 and 4 are the values for x
E f(x) < 0 means when y is above the x axis
This is between the x values of -2 and 2 or (-2,2)
Remember this:
Denominator multiplies with the whole number(number on the side) The sum of that plus the numerator will give you the value for the numerator in the improper fraction. The denominator will stay the same.
Now try it on your own!
12×2+7=numerator.
We have been given the expression
We have the exponent rule
Using this rule, we have
Now, using the fact that ![x^{\frac{1}{n}}=\sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D)
, we get
![x^{\frac{9}{7}}= \sqrt[7]{x^9}\\ \\ x^{\frac{9}{7}}=\sqrt[7]{x^7\times x^2}\\ \\ x^{\frac{9}{7}}=x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B9%7D%7B7%7D%7D%3D%20%5Csqrt%5B7%5D%7Bx%5E9%7D%5C%5C%0A%5C%5C%0Ax%5E%7B%5Cfrac%7B9%7D%7B7%7D%7D%3D%5Csqrt%5B7%5D%7Bx%5E7%5Ctimes%20x%5E2%7D%5C%5C%0A%5C%5C%0Ax%5E%7B%5Cfrac%7B9%7D%7B7%7D%7D%3Dx%5Csqrt%5B7%5D%7Bx%5E2%7D)
D is the correct option.
