Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;

The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect
PEMDAS
(9)(5) + 8
45 + 8
53
Answer is A
Triangle UVW ~ Triangle UWT ~ Triangle WVT
Answer:
43
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
(x + 3)² - 6
<em>x</em> = 4
<u>Step 2: Evaluate</u>
<em>Follow Order of Operations.</em>
- Substitute in <em>x</em> [Equation]: (4 + 3)² - 6
- (Parenthesis) Add: 7² - 6
- Exponents: 49 - 6
- Subtract: 43