Answer:
Step-by-step explanation:
Next time, please share the possible answer choices.
Since the slope and y-intercept are given here, we can immediately write out the slope-intercept form of the equation of this line:
y = mx + b becomes y = -1x - 5, where I have arbitrarily chosen the negative slope -1.
Answer:
3.9
Step-by-step explanation:
Pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 1^2 = 4^2
a^2 + 1 = 16
a^2 = 15
a = sqrt(15)
a = 3.9
Answer a = 3.9 yards
Answer:
(0, -3)
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>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- [Subtraction Property of Equality] Subtract 18 on both sides: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
1) Before tax = $249.99
100% = 1 = 249.99
4% = 0.04
100% + 4% = 104% = 1.04 multiplier
1.04 x $249.99 = $259.9896 = $259.99 After Tax
2) After tax = $249.99
100% = 1
4% = 0.04
1 + 0.04 = 1.04
104% = $249.99
$249.99 / 1.04 = $240.375 = $240.38 Before Tax
