Answer:
a = 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>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = <em>a</em>
<em>b</em> = 8
<em>c</em> = 10
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 8² = 10²
- Evaluate exponents: a² + 64 = 100
- [Subtraction Property of Equality] Subtract 64 on both sides: a² = 36
- [Equality Property] Square root both sides: a = 6
Lets solve the problem with a rule of three, knowing that 118 is the 100%:
100% -------> 118
120% -------> x
x = (120)(118)/100
x = 141.6
therefore the 120% of 118 is 141.6
Answer:
its an equation between two variables that gives a straight line when plotted on a graph.
Step-by-s
Answer:
Inconsistent
Step-by-step explanation:
We are given the equations;
0.3y=0.6x+0.3
1.2x+0.6=0.6y
Assuming we are required to determine whether the system of equations are consistent or inconsistent
We are going to use substitution
Making y the subject;
Equation 1: 0.3y=0.6x+0.3
Dividing both sides by 0.3
y = 2x + 1
Equation 2: 1.2x+0.6=0.6y
Dividing both sides by 0.6
y = 2x + 1
This means both equations are similar and we can't get a solution.
Therefore, the system of equations is inconsistent.
