Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Answer:
<em>options: A,C,E </em>are correct.
Step-by-step explanation:
We have to find the expression equivalent to the expression:

we know that: 
Hence,
-----(1)
A)
(same as(1))
Hence, option A is correct.
B) 7 ; which is a different expression from (1)
Option B is incorrect.
C)
(Same as (1))
Option C is correct.
D)
which is a different expression from (1)
Hence, option D is incorrect.
E)
; which is same as (1)
Hence, Option E is correct.
F)
; which is not same as expression (1)
Hence, option F is incorrect.
Answer:
the "negative solution" is -3
Step-by-step explanation:
Represent the number by n.
Then n^2 - 24 = 5n
We rewrite this in standard quadratic form:
n^2 - 5n - 24 = 0
This factors as follows; (n + 3)(n - 8) = 0
The roots are n = -3 and n = 8. Thus, the "negative solution" is -3
Answer:
-32
Step-by-step explanation: