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
Answer:
Axis of symmetry runs along -1
Step-by-step explanation:
<u>formula used</u>
-b/2a
<u>Plug variables in</u>
-2/2
-1
Answer:
315 miles
Step-by-step explanation:
450 (total miles) x (since they said "of", you multiple) 70% (amount completed) gives you 315 miles.
Hello!
If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.
To give you a visual, this is what I mean.
That means we'll want to find 
with the first point we're given: 
Which means our equation is:
Now, let's plug in the 
and 
from the other point to find 
.
Hope this helps!
1) 2.4
2) 6.4
3) 7.7
4) 9.9
5) 2.8
Hope it helps <3
Just basic simplification, make 1 of the variable alone on one side
