Recall:
The
tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :

.
Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.
(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)
Similarly,

.
The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.
Now the sides of the right triangle are complete.

Answer: A
The answer will be “b” because exponent means mutiply
- 4x + 16y + 24z
- = 4(x + 4y + 6z)
<u>Answer</u><u>:</u>
<u>4</u><u>(</u><u>x </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>+</u><u> </u><u>6</u><u>z</u><u>)</u>
Hope you could understand.
If you have any query, feel free to ask
The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.
This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.
Second equation is:
Qx - 6y = 8
Taking 2 common we get:
(Q/2)x - 3y = 4
Comparing this equation to x- 3y = 4, we can say that
Q/2 = 1
So,
Q = 2
Therefore, the second equation will be:
2x - 6y = 8