Answer:
Step-by-step explanation:
------(I)
![LHS =\dfrac{Cos \ A}{1+Sin \ A}+\dfrac{1+Sin \ A}{Cos \ A}\\\\\\ = \dfrac{1-Sin \A}{Cos \ A}+\dfrac{1+Sin \ A}{Cos \ A} \ [from \ equation \ (I)]\\\\\\=\dfrac{1-Sin \ A + 1 - Sin \ A}{Cos \ A}\\\\=\dfrac{2}{Cos \ A}\\\\\\=2*Sec \ A = RHS](https://tex.z-dn.net/?f=LHS%20%3D%5Cdfrac%7BCos%20%5C%20A%7D%7B1%2BSin%20%5C%20A%7D%2B%5Cdfrac%7B1%2BSin%20%5C%20A%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%5C%5C%20%3D%20%5Cdfrac%7B1-Sin%20%5CA%7D%7BCos%20%5C%20A%7D%2B%5Cdfrac%7B1%2BSin%20%5C%20A%7D%7BCos%20%5C%20A%7D%20%5C%20%5Bfrom%20%5C%20equation%20%5C%20%28I%29%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1-Sin%20%5C%20A%20%2B%201%20-%20Sin%20%5C%20A%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%5C%5C%3D2%2ASec%20%5C%20A%20%3D%20RHS)
Answer:
It would be y=2x+4 since the slope is 2 and the y-intercept is 4
(your welcome!)
Answer:
-5
Step-by-step explanation:
Rate of Change also slope
Slope = y-y1/x-x1 = tanα = y/x
15-5/2-4 = 10/-2 =-5
Answer:
1: 11982.79
2: 12136.31
4: 12216.09
12: 12270.46
365: 12297.10
Step-by-step explanation:
The compound interest formula is A=P*(1+r/n)^nt
P=principal amount
r=rate
n=number of compounds per period
t=number of periods
In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.
For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.
For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.
And so forth. Good luck
Find a common multiplier between both which would be 4. then divide each term by 4. all you have left stays in the parenthesees.
4 (2x+5)