Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to
Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are
Answer:
1. x=6
2. y=2
Step-by-step explanation:
If x=5, the line is vertical, so we need a vertical line so that we are parallel. A vertical line is x= a constant
We can choose the value for x as long as it is not 5, that would make it the same line. I will choose x=6
If y=-3=5, the line is horizontal, so we need a horizontal line so that we are parallel. A horizontal line is y= constant
We can choose the value for y as long as it is not -3, that would make it the same line. I will choose y=2
Answer: x= -3
Step By Step Explanation:
1) y=53
2)53
21 is 2 thirds of 32 so you add them together and get 53. Also Y=Cost of last years trip which we determined is $53
Answer:
105 = (w+8) *w
w = 7 cm
l = 15 cm
Step-by-step explanation:
Area of a rectangle is
A = l*w
l = w+8
105 = (w+8) *w
Distribute
105 = w^2 +8w
Subtract 105 from each side
105-105 = w^2 +8w -105
0 =w^2 +8w -105
Factor
What 2 number multiply to 105 and add to 8
15*-7 = -105
15-7 = 8
(w+15) (w-7) =0
Using the zero product property
w+15 =0 w-7 =0
w=-15 w=7
impossible
not negative
w =7
l = 15
