\left[x \right] = \left[ -3+\frac{3\,y}{2}\right][x]=[−3+23y] this is answer
Hello!
Firstly, we need to know what the slope-intercept form is. Slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
Our goal here is to find the y-intercept. To find b, we will substitute the slope and the given ordered pair into the slope-intercept equation and solve algebraically.
y = mx + b (substitute the slope and point P)
2 = 2(8) + b (multiply)
2 = 16 + b (subtract 16 from both sides)
b = -14
Therefore, the equation is y = 2x - 14.
Answer:
P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL (First Outside Inside Last)
- Factoring
<u>Geometry</u>
Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃
- L₁ is one side
- L₂ is another side
- L₃ is the 3rd side
Step-by-step explanation:
<u>Step 1: Define</u>
L₁ = (6a - 3b)(6a - 3b)
L₂ = (5a + 5c)(5a + 5c)
L₃ = (8c - b)(8c - b)
<u>Step 2: Find Perimeter</u>
- Substitute in variables [Perimeter - Triangle]: P = (6a - 3b)² + (5a + 5c)² + (8c - b)²
- Expand [FOIL]: P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)
- Combine like terms (a²): P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²
- Combine like terms (b²): P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²
- Combine like terms (c²): P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bc
- Rearrange variables: P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bc
- Factor: P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
Answer:
-16
Step-by-step explanation:
When adding a negative and a positive number, you need to keep in mind that your are essentially adding.
so if I have a number line
-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,
you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.
