Answer:
x = 10
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>Geometry</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>
Leg <em>a</em> = 8
Leg <em>b</em> = 6
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 6² = x²
- Exponents: 64 + 36 = x²
- Add: 100 = x²
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
(3,-4)(5,1)
slope = (1 - (-4) / (5 - 3) = (1 + 4) / 2 = 5/2
y = mx + b
slope(m) = 5/2
use either of ur points (5,1)...x = 5 and y = 1
now we sub and find b, the y int
1 = 5/2(5) + b
1 = 25/2 + b
1 - 25/2 = b
2/2 - 25/2 = b
-23/2 = b
so ur equation is y = 5/2x - 23/2...but we need it in standard form
y = 5/2x - 23/2...subtract 5/2x from both sides
-5/2x + y = -23/2....multiply everything by -2
5x - 2y = 23 <== standard form
