Answer:
1 : 12 : 4
Step-by-step explanation:
Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...
A = G +12
C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"
A + G + C = 68
Substituting for G and C, we have ...
A + (A -12) +(3A) = 68
5A = 80 . . . . . add 12
A = 16 . . . . . . . divide by 5
The other ages are then ...
G = A-12 = 16 -12 = 4
C = 3A = 3·16 = 48
The ratios are ...
G : C : A = 4 : 48 : 16
G : C : A = 1 : 12 : 4
Answer:
a^2+11a+30
(a+5)(a+6)
Let me know if this helps!
Answer:
Step-by-step explanation:
1. rewrite the equation in standard form: 
2. find (h,k), the vertex. the vertex is 
3. find the 'focal length' of the parabola - the focal length is the distance between the vertex and the focus. from the vertex we can see that the focal length, p, = 3/2
4. Parabola is symmetric around the y-axis and so the asymptote is a line parallel to the x-axis, a distance p from the 
y coordinate which is at 
. Set up the equation:
5. substitute and solve:
hope this helps, ask me questions if you still don't understand.
Answer:
1/3
Step-by-step explanation:
rise over run. Find two places that land on a line I picked (0,0) and (3,1) then count up one from the first point and over 3 for the second.
Answer:
x=ln(2)/3
Step-by-step explanation:
e^3x+6=8
e^3x=8-6
e^3x=2
ln(e^3x)=ln(2)
3x=ln(2)
x=ln(2)/3
