If you use the equation for Rachel it would be
y=3x and for oliver it would be y=2x+5
Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)
The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.
So, 5^4*5^8 = 5^(4+8) = 5^12
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
Step-by-step explanation:
(-24)+19
= 19 - 24
= -5 (Ans)
