Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
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<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k
This is the power of powers law. It states that (a^b)^c is equal to a^b*c.
Answer:
C
Step-by-step explanation:
Answer:
use Desmos where you could see the graph. And they intersect in (4,3)
Step-by-step explanation:
hopefully that works
X = -10
work:
1. <span>4.5(8-x) + 36 = 102 - 2.5(3x+24)
2.</span>4.5(8-x) * 10 + 36 *10 = 102 * 10 - 2.5(3x + 24) * 10
3. 45(8 - x) + 360 = 1020 - 25(3x + 24)
4. -45x + 720 = -75x + 420
5. -45x + 720 - 720 = -75x + 420 - 720
6. -45x = -75x - 300
7. -45x + 75x = -75x - 300 + 75x
8. 30x = -300
9. 30x/30= -300/30
SIMPLIFY = x = -10
