Answer:
23
Step-by-step explanation:
34=x+(x-12)
Get the y by itself
-2y= -3x + 1
Divide -2 to everything
y= 3/2x - 1/2
Other equation (get y by itself)
-6y= -9x + 3
y=3/2x - 1/2
Use substitution
3/2x-1/2=3/2-1/2
0=0
All real numbers (any value of x makes the equation true)
so you have
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If you don't remember the value of off the top of your head, it's possible to derive it with some identities and knowing that .
Consider the expression . With the angle sum identity, we have
and the double angle identities give
Write everything in terms of cosine:
Now let . Then
Let . Then
The rational root theorem suggests some possible roots are
and checking all of these, we find that is among the solution set. In fact,
We have only for odd multiples of , so it follows that
Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 +
=
Looking at the graph:
we know that the y-intercept is 4
slope is
we can use (0,4) as point 1 and (6, -4) as point 2 to find the slope
using slope intercept form your answer should be
y=(-4/3)x+4
also, your answers repeat themselves. A and B are the same and so are C and D