1x + 5y = 19 ⇒ 3x + 15y = 57
3x - 6y = -6 ⇒ <u>3x - 6y = -6</u>
<u>21y</u> = <u>63</u>
21 21
y = 3
3x - 6(3) = -6
3x - 18 = -6
<u> + 18 + 18</u>
<u>3x</u> = <u>12</u>
3 3
x = 4
(x, y) = (4, 3)
It is consistent and dependent.
2x + 3 + 3x + 2 = 180
5x + 5 = 180
subtract 5 from both sides
5x = 175
divide both sides by 5
x = 35
2(35) + 3 3(35) + 2
70 + 3 = 73 degrees 105 + 2 = 107 degrees
Answer:
The correct question is:
Simplify by referring to the appropriate triangle or trigonometric identity. (Use symbolic notation and fractions where needed.) cot[sin−1(1/2)]
Answer:
cot(sin^(-1)1/2) = 1/√3
Step-by-step explanation:
To simplify cot(sin^(-1)1/2)
Let a = sin^(-1)1/2
Then sin(a) = 1/2
and
cot(sin^(-1)1/2) = cot(a)
Since
sin(a) = 1/2
a = π/6
cot(a) = 1/tan(a) = sin(a)/cos(a)
But cos(a) = cos(π/6) = (√3)/2
So
cot(π/6) = sin(π/6)/cos(π/6)
= (1/2)/((√3)/2)
= (1×2)/((√3)×2)
= 2/2√3
= 1/√3
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
Answer: 2
8/4
4/2
2/1
2
Step-by-step explanation:
8/4
4/2
2/1
2