Answer: x = -2
Step-by-Step Explanation:
Since the two expressions both equal y, you can set them equal to each other.
2x-1 = 3x+1
Subtract 2x from both sides.
-1 = x+1
Subtract 1 from both sides.
-2 = x
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
For all of these you're trying to solve for the variable. The variable is usually a number or symbol.
11) -44+n=36
Step one would be to add 44 to both sides of the equation.
N=80
12) -36=p-91
Step one would be to add -91 to both sides of the equation.
P=55
13) X-225=671
Step one you be to add 225 to both sides of the equation. Although it may seem difficult because of the big numbers, it's the same technique.
14) 19=c-(-12)
Step one on this equation will be a little different. Because there are two negative signs (-), they turn into a plus sign. Remember, two negative signs make a positive sign.
19=c+12
Now you just subtract 12 from each side of the equation.
6=C
