There are none. Absolute values are always positive
Answer:
x = 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
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Expand by FOIL (First Outside Inside Last)
- Factoring
- Multiple Roots
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = x + 3
<em>b</em> = x
<em>c</em> = √117
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: (x + 3)² + x² = (√117)²
- Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
- Combine like terms: 2x² + 6x + 9 = (√117)²
- Exponents: 2x² + 6x + 9 = 117
- [SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0
- Factor out GCF: 2(x² + 3x - 54) = 0
- [DPE] Divide 2 on both sides: x² + 3x - 54 = 0
- Factor Quadratic: (x - 6)(x + 9) = 0
- Solve roots/solve <em>x</em>: x = -9, 6
Since we are dealing with positive values, we can disregard the negative root.
∴ x = 6
Answer:
3.418
Step-by-step explanation:
A gram is 1/1000 of a gram so if we move the decimal point over 3 places you get 3.418.
These words related to geometry that are quite hard to define precisely are called the <em>undefined terms</em>. There are three undefined terms in geometry: the point, the line and the plane. They are called as such, not because you can't necessarily define them. Since these are the basic elements of geometry, they are used to define all other terms in geometry.
However, you can still describe these three undefined terms. We describe point as an indication of location space. It can be dimensionless, represented using coordinates ans so much more. Lines can go on infinitely in two directions. They don't have any thickness. Planes are two-dimensional flat surfaces that extend indefinitely in all directions. So, you see, there are no specific definitions of these terms. It depends on where you use them. That's what makes it hard to define precisely.
