Step-by-step explanation:
remember, when you multiply 2 expressions, you need to multiply every term of one expression with every term of the other expression and then add the results up (while considering their individual signs, of course).
1)
2(s + 8) = -(4s + 2)
2×s + 2×8 = -4s + -2
2s + 16 = -4s - 2
6s + 16 = -2
6s = -18
s = -3
2)
-(8 - 7b) = 6(2 + b)
-8 - -7b = 6×2 + 6×b
-8 + 7b = 12 + 6b
-8 + b = 12
b = 20
3)
6(4x - 11) = 9 - x
6×4x - 6×11 = 9 - x
24x - 66 = 9 - x
25x - 66 = 9
25x = 75
x = 3
4)
-5(4 - x) = 2(-x - 3)
-5×4 - -5×x = 2×-x - 2×3
-20 + 5x = -2x - 6
-20 + 7x = -6
7x = 14
x = 2
5)
-6(y - 1) = 4(9 + y)
-6×y - -6×1 = 4×9 + 4×y
-6y + 6 = 36 + 4y
-10y + 6 = 36
-10y = 30
y = -3
6)
7(2s + 6) = 5(s - 6)
7×2s + 7×6 = 5×s - 5×6
14s + 42 = 5s - 30
9s + 42 = -30
9s = -72
s = -8
7)
z + 4 = 8(-z + 5)
z + 4 = 8×-z + 8×5
z + 4 = -8z + 40
9z + 4 = 40
9z = 36
z = 4
8)
-2(3 + 5x) + 3(1 - x) = 10
-2×3 + -2×5x + 3×1 - 3×x = 10
-6 - 10x + 3 - 3x = 10
-3 - 13x = 10
-13x = 13
x = -1
Rewrite the square root of X as X^ 1/2. Then take the derivative. Since 1/3 is a constant with respect to X you can pull that out. So, you should have
1/3 d/dx [ (2x^2-x^5)/3x^1/2].
Then factor x^2 out of 2x^2-x^5.
Then by using the negative exponent rule you should have
1/3 d/dx [ x^2(2-x^3)x^-1/2 ]
Then multiply x^2 by x ^-1/2 by adding the exponents.
1/3 d/dx [ x^3/2 (2-x^3)]
Then differentiate.
You should get x^1/2 - (3x^7/2)/2.
I hope that helps.
Answer:
.25
Step-by-step explanation:
you divide 1 by 4 which equals .25
Answer:
132°
Step-by-step explanation:
because the lines are parallel x + 48° must be 180°
therefore x = 132°
