7.6=w/12
w=7.6(12)
w=91.2
x/2=20
x=20(2)
x=40
8.3x=41
x=41(8.3)
x=340.3
54=r/3
r=54(3)
r=162
Answer:
3 1/2 cups
Step-by-step explanation:
24=2
42=x
24x=84
/24 /24
3.5
Answer:
x = 7 and 15
Step-by-step explanation:
Divide both sides by -4...
| x - 11 | = 4
because
| -4 | = 4 and
| 4 | = 4
x - 11 = -4 and x - 11 = 4
solve for x in both equations.
x = 7 and x = 15
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Answer:
66-4y
Step-by-step explanation:
(11x3 – 2y)2
= (33 -2y)2
= 66-4y
