When you isolate the variable to one side of the equation, you have to use the given operation to simplify the number on the other side of the equal sign.
Ex: 4x + 8 = 40
This is a simple one-step equation, but to solve this, first, you need to subtract 8 from 40.
4x = 40
- 8
4x = 32
Then, you divide 4x by 32.
4x = 32
4x 4
x = 8
However, with multi-step equations you have to do these three important steps.
1.) Distribute - the number that's on the outside of the parentheses, gets multiplied to all the numbers except for the one on the right side of the equal sign
2.) Combine Like Terms - numbers with coefficients like 3x, 6y, or 7a, that have another one like it, you need to add them together and keep the variable.
3.) Simplify - it's almost like combining like terms, except if you have more than one number with coefficient, then again, add all the numbers with the same variable together.
And by the way, coefficient basically is a "fancy" way to say "number with a variable attached".
I hope I helped :)
Answer:
You will need to double your net income in order to make a profit.
Step-by-step explanation:
1500 x 2 = 3000 - 2500 = 500 which is 500 dollars profit
Answer:
Answer
sqrt(108)
6 sqrt(3)
10.3923
I don't know which answer you want.
Step-by-step explanation:
- Drop a perpendicular from the top angle to the base.
- The base is cut into 2 equal parts.
- Each part is 12/2 = 6
- The perpendicular, as its name implies, meets the base at 90o.
- You can use the Pythagorean Theorem to find the height.
h^2 = side^2 - (1/2 b)^2
h^2 = 12^2 - 6^2
h^2 = 144 - 36
h^2 = 108
Take the square root of both sides
h = sqrt(108)
h = sqrt(2*2 * 3 * 3 * 3)
h = 2 * 3 sqrt(3)
h = 6sqrt(3)
h = 6 * 1.7321
h = 10.3923
