So there is an identity we'll need to use to solve this:
cos(x+y) = cosxcosy - sinxsiny
replace the numerator with the right hand side of that identity and we get:
(cosxcosy - sinxsiny)/cosxsiny
Separate the numerator into 2 fractions and we get:
cosxcosycosxsiny- sinxsiny/cosxsiny
the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:
cosy/siny - sinx/cosx
which simplifies to:
coty - tanx
<span>For chess club:
y1 = 16 + 1*x where y1 = total number of members after x months
.
For film club:
y2 = 4 + 4*x where y2 = total number of members after x months.
y1 = y2 when:
16 + x = 4 + 4x
3x = 12
x = 4 months
Answer: C. 4 months.</span>
(x^2 +5x+2.5^2) +4+5
(x+2.5)^2+9
vertex -2.5,9
Step-by-step explanation:
2/3=10/15 (divide 15 by 3 to get 5, then multiply both numerator and denominator by 5 to set equivalent)
3/5=9/15
10/15 is greater than 9/15, so during the 1st week there were more boy campers