9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
_____
<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
The answer is E because during 5:00-9:00 the temperature didn’t change
The converted fractions are 3/12 and 5/12 and the sum is 2/3
<h3>How to convert the fractions?</h3>
From the question, the fractions are given as
1/4 and 5/12
The denominators of these fractions are
4 and 12
So. we start by calculating the LCD of the denominators
So, we have
4 = 2* 2
12 = 2 * 2 * 3
This gives
LCD = 2 * 2 * 3
Evaluate
LCD = 12
This means that the common denominator must be 12
So, we have
1/4 and 5/12
Multiply 1/4 by 3/3
This gives
3/12 and 5/12
When the fractions are added, we have
3/12 + 5/12 = (3 + 5)/12
Evaluate
3/12 + 5/12 = 8/12
Reduce fraction
3/12 + 5/12 = 2/3
Hence, the sum of the fractions is 2/3
Read more about fractions at
brainly.com/question/1622425
#SPJ1
Answer:
x=π/2 ,3π/2
Step-by-step explanation:
cot x(csc x+1)=0
either cot x=0
tanx=∞=tan (π/2)
x=π/2
or csc x=-1
or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)
x=3π/2
