Greetings!
Solve for d.
Distribute the Parenthesis.
Reduce.
Add
-2/3 to both sides.
Simplify.
Add
-1/4d to both sides.
Simplify.
Divide both sides by
-1/12.
Simplify.
Reduce.
Hope this helps.
-Benjamin
The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence
Solve for p in the equation
Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then
Hence, q = 30
Applying the rule of angles on a straight line
This implies
Substitute q = 30 into the equation
Solve for w
Hence, w = 90
Since f(x) is up and down, simply decrease the overall equation by 2 to get 2sqrt(x+3)+3 instead of +5. To move it 5 to the right, we have to do something kind of weird, which is subtract 5 from (x+3) instead of add 5 to get
2sqrt(x-2)+3.
Answer:
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Step-by-step explanation:
100 = 5 * 10^(0.3t), solve for t
Divide both sides by 5:
20 =10^(0.3t)
Take the log of both sides:
0.3t =log(20)
Divide both sides by 0.3:
Multiply the RHS by 10 / 10
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
It is a horizontal line, therefore y=1
