Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 3y = - 54 ( subtract 9x from both sides )
- 3y = - 9x - 54 ( divide all terms by 0 3 )
y = 3x + 18 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
slope of parallel line is 3
Answer:
7 -5i
Step-by-step explanation:
The additive inverse is the number we add to make it equal to zero
-7+5i + x = 0
the real part
-7 + x = 0
x = 7
The imaginary part
5i+x = 0
x = -5i
The complex x is
7 -5i
Notice it is the opposite of the number
- (-7+5i)
7-5i
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Answer:
x = ±i√2
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 II</u>
Imaginary root <em>i</em>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5x² - 2 = -12
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 2 on both sides: 5x² = -10
- [Division Property of Equality] Divide 5 on both sides: x² = -2
- [Equality Property] Square root both sides: x = ±√-2
- Rewrite: x = ±√-1 · √2
- Simplify: x = ±i√2
