<h3>(2x - 4) - (6x + 6) = -2( 2x + 5 )</h3>
<h3>Further explanation</h3>
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
This rule is known as the PEMDAS method.
Let us tackle the problem!
⇒ open parenthesis
⇒ rearrange term
⇒ factorize
![\large {\boxed {(2x - 4) - (6x +6) = -2( 2x + 5 ) } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7B%282x%20-%204%29%20-%20%286x%20%2B6%29%20%3D%20-2%28%202x%20%2B%205%20%29%20%7D%20%7D)
<h2>Another Example :</h2>
⇒ open parenthesis
⇒ rearrange term
⇒ factorize
![\large {\boxed {(2x - 4) + (6x +6) = 2( 4x + 1 ) } }](https://tex.z-dn.net/?f=%5Clarge%20%7B%5Cboxed%20%7B%282x%20-%204%29%20%2B%20%286x%20%2B6%29%20%3D%202%28%204x%20%2B%201%20%29%20%7D%20%7D)
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
Answer:
Here we will use the relation:
Density = mass/volume.
We know that:
Mass = 1485g
Volume = 750L
Density = 1485g/750L = 1.98 g/L
We do not have the options in order to select the correct one, but knowing this density, we can suppose the possible gases.
Two "common" gases with densities similar to this one are:
Carbon Dioxide, with d = 1.977 g/L
Dinitrogen Monoxide, with d = 1.977 g/L
In both cases, if we round up we will get the same density that we calculated at the beginning, so either of these can be the correct option.
Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.
List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Start with 85.
85 is not divisible by 2.
Move on to 3.
85 is not divisible by 3.
Move on to 5.
85/5 = 17
17 is a prime number, so now divide 17 by 17.
17/17 = 1
We divided just by 5 and 17.
Answer: The prime factors of 85 are 5 and 17.
The formula of a triangle is 1/2 base times the height of the triangle. for instance, if the top point of the triangle is at 3 on the graph, the right point of the triangle is at point 3, and the left point is at -3, the formula would be 1/2(6/the length of the base)(3/the height of the triangle at its highest point). therefore, 1/2(6)(3)= 9 units.