Answer:
egnue5neiybyejmkye dt
Step-by-step explanation:
vsk nsg js y h . eth ydj tsh dyjharn . ustnyek.jtw wrhmta
Answer:
x=16°
Step-by-step explanation:
5*x-30=2*(x+18)
For the second, I'd say it is:
5*x-30=2*x+18
Let's solve both.
5*x-30=2*(x+18)
5x-30=2x+36
3x=66
x=22
5*x-30=2*x+18
3x+48
x=16°
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
