Y=2x-1
y=-3x+14
First you would substitue one of the y's for the other so
2x-1=-3x+14
no you would solve for x...
add one on both sides
2x=-3x+15
now add 3x to both sides which becomes
5x=15
divide 5 on both sides which gives you x=3
now to solve for y plug into any one of the equations(doesn't matter which one) from before 3 for x and solve
y=2(3)-1
y=6-1
y=5
And that is you answer y=5
Didn't answer all because I got lazy and I think you should try and do the rest yourself. Did this in 5 mins, try putting more effort into your homework. This is basic mathematics.
Solution:
The permutation formula is expressed as
The combination formula is expressed as
where
Given that 6 objects are taken at a time from 8, this implies that
Thus,
Number of permuations:
Number of combinations:
Hence, there are 28 combinations and 20160 permutations.
Answer:
C. 13,248 square units
Step-by-step explanation:
You gotta find measure of bottom leg of the triangle which 92
Then add that to 100
92 + 100 = 192
You multiply 192 by 69
192 x 69 = 13248
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
