Answer:
41 units
Step-by-step explanation:
The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.
c² = a² + b²
d² = 9² + 40²
d = 41
The diagonal is 41 units long.
One million = 1,000,000
So Three million is 3,000,000
One thousandths is 0.001
So nine thousandths is 0.009
So three million and nine thousandths is 3,000,000.009
Answer:
x = 5 or x = 2 or x = 0 or x = -3 thus 0 is the smallest root
Step-by-step explanation:
Solve for x:
x (x - 5) (x - 2) (x + 3) = 0
Split into four equations:
x - 5 = 0 or x - 2 = 0 or x = 0 or x + 3 = 0
Add 5 to both sides:
x = 5 or x - 2 = 0 or x = 0 or x + 3 = 0
Add 2 to both sides:
x = 5 or x = 2 or x = 0 or x + 3 = 0
Subtract 3 from both sides:
Answer: x = 5 or x = 2 or x = 0 or x = -3
Answer:
(3, -6)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
