Answer:
Given the graph 
and 
We have to find the value of k;
Since, g(x) = f(x) +k
Subtract 
from both sides we get;
Add 2 to both sides we get;
Simplify:
or
k = 5
Therefore, the value of k = 5
Answer:
B
Step-by-step explanation:
because the denominator of fraction, 5/12 ,is greater than both the numerator and the multiplier which is 7
770 because the 1 is higher than 5 so you round up
Answer:
<u>15%</u> percent of the bill was her tip.
Step-by-step explanation:
Given:
Audrey gave a $0.90 tip to a waitress for serving a meal costing $6.00.
Now, to find the percent of the bill was her tip.
The bill was = $6.00.
The tip she gave = $0.90.
Now, to get the percent of the bill was her tip:
Therefore, 15% percent of the bill was her tip.
Below is the solution, I hope it helps.
<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)
= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:
= 8*tan(10)/{1 - 3*tan²(10)}
iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)
= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}
= 3*tan(30) = 3*(1/√3) = √3 [Proved]
[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
