Answer: I think 59/100
Thank you for asking and hope this helps - report if it's wrong.
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
6 - 4x = 7x - 9x - 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 6 - 4x = -2x - 6
- Add 4x on both sides: 6 = 2x - 6
- Add 6 on both sides: 12 = 2x
- Divide 2 on both sides: 6 = x
- Rewrite: x = 6
<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>: 6 - 4(6) = 7(6) - 9(6) - 6
- Multiply: 6 - 24 = 42 - 54 - 6
- Subtract: -18 = -12 - 6
- Subtract: -18 = -18
Here we see that -18 does indeed equal -18.
∴ x = 6 is the solution to the equation.
When you cut along the diagonal, a right triangle is formed where the hypotenuse is the diagonal and the legs are the length and width of the rectangle (10 and 15 in this case)
Now use the pythagorean theorem to solve
10^2+15^2=325=c^2
c= approx 18.02775=length of the diagonal
The answer is -2.76, you have to add 2 to both sides
