Answer:
x = 1/3 ln(2)
Step-by-step explanation:
e^(3x)+6=8
Subtract 6 from each side
e^(3x)+6-6=8-6
e^(3x) = 2
Take the natural log of each side
ln (e ^3x) = ln (2)
3x = ln(2)
Divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
Answer: 26.7 is 13% of 89
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
Answer:
easey, sub them
(x,y)
see if true
(0,1), 2(0)+1>-4, 1>-4, true
(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false
(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true
(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true
(-3,0), 2(-3)+0>-4, -6>-4, false
answers are
(0,1)
(5,-12)
(-1,-1)
Hopefully that helped you a little bit :)
