Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.
1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
12x= 57 + 20
12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
Answer:
1. X = 1 - 3y
2. -5/6x + 7/3
Those are the answers to the problems
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.
And, the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
----------(1)
And, 
--------(2)
By putting S = 10 and L = 4 in the inequality (1),
⇒ 
(true)
Thus, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),
⇒ 
( false)
But, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
<em>A</em><em>+</em><em>2</em><em>2</em><em>°</em><em>=</em><em>9</em><em>0</em><em>°</em><em> </em><em>(</em><em>SUM</em><em> </em><em>OF</em><em> </em><em>COMPLEMENTRY</em><em> </em><em>ANGLES</em><em> </em><em>)</em>
<em>A</em><em>=</em><em>9</em><em>0</em><em>°</em><em>-</em><em>2</em><em>2</em><em>°</em>
<em>A</em><em>=</em><em>6</em><em>8</em><em>°</em><em> </em><em>ANSWER</em><em>.</em>
