Answer:
x = -19/6
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>
2x + 10 = -4x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 4x on both sides: 6x + 10 = -9
- Subtract 10 on both sides: 6x = -19
- Divide 6 on both sides: x = -19/6
<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>: 2(-19/6) + 10 = -4(-19/6) - 9
- Multiply: -19/3 + 10 = 38/3 - 9
- Add/Subtract: 11/3 = 11/3
Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
Y = 8x - 2.....slope here is 8. A parallel line will have the same slope.
The other line would be : y = 4 + 8x (or y = 8x + 4).....because they both have the same slope, which makes the lines parallel to each other
Let's solve ~
The given triangle is a right angled Triangle, so we can apply Trigonometric relations to find the required result ;
That is :
So, the value of z is 
