Answer:
Step-by-step explanation:
1)y=-6x-14 ---------(i)
-x-3y=-9 ---------- (ii)
Substitution method:
Substitute y value in equ (i)
-x -3*(-6x-14) = -9
-x - 3*-6x -3*(-14)= -9
-x + 18x + 42 = -9
17x = -9 -42
17x = -51
x = -51/17
x = -3
Substitute x value in equation (i)
y = -6*-3 -14
y =18-14
y = 4
Well, the answer is 12. This is because you need to add the inverse operation. So for (6x-6) You add 6 or the second number( the one that doesn't have the x in front of it)because it is the opposite/inverse operation.You basically just add 6 and because the opposite of subtraction is addition. You then cross is out because it will equal zero. Then with the 6x, you add 6 as well because what you do to one side, you must do the same to the other. so 6+6=12. SO x=12.
+
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
Answer:
- 1/2
5 1/2
-3 2/3
-1 2/3
2/3
-4
Step-by-step explanation: