Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
Answer: y + 1 = 2(x-6)
Step-by-step explanation:
Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)
Hope this was helpful! Please feel free to ask me any questions!
We use rulers obviously because the length of rulers are about 4 more times longer than hands. Hope this helps you :]
Answer:
s = 1.35 (See explanation!)
Step-by-step explanation:
To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:
Equation:
4s = 5.4
Note: the 4s is the total perimeter (4 * side)
Now, solve:
4s = 5.4
Divide by four to isolate the s:
4s/4 = 5.4/4
Finally:
s = 1.35
Answer:
(1.7x10^13)+(0.8x10^13)
=(1.7x1e+13)+(0.8x1e+13)
=1.7e+13+0.8e+13
=2.5e+13
in actual number it would be 25,000,000,000,000
Step-by-step explanation:
