4 sin(<em>x</em>) + 9 cos(<em>x</em>) = 0
4 sin(<em>x</em>) = -9 cos(<em>x</em>)
tan(<em>x</em>) = -9/4
<em>x</em> = arctan(-9/4) + <em>nπ</em> … … … (in radians)
or
<em>x</em> = arctan(-9/4) + 180<em>n</em> ° … … … (in degrees)
where <em>n</em> is any integer.
I'm guessing you're solving for <em>x</em> over some domain, probably 0° ≤ <em>x</em> < 360°. In that case, you would have two solutions for <em>n</em> = 1 and <em>n</em> = 2 of
<em>x</em> ≈ 113.96° and <em>x</em> ≈ 293.96°
Answer:
x=2y. x=-1/2y 3x-3y
Step-by-step explanation:
Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
Step-by-step explanation:
Let the number of twenties be x
Let the number of tens be x+1
Let the number of fives be x+2
Amount from twenties will be given as

Amount from tens will be given as

Amount from fives will be given as

According to question,

So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.
SOLUTION: the sum of two numbers is 25 and their difference is 15. what are the two numbers? let x =one number and y= the other number. the corresponding modeling system is {x+y=25 x-y=
Answer:
x+5
Step-by-step explanation:
x^2+7x+10=0
(x+5)(x+2)=0
The only factor on that list is x+5, meaning that it is the answer. Hope this helps!