Answer: Negative 1 The slope of parallel lines is the same.
The attachment shows two such lines, given coordinates labeled.
Step-by-step explanation:
Find the slope of the line passing through the given points.
rise/run
Rise is the difference in y-values 7-(-5) = 12
Run is the difference between x-values -5 - 7 = - 12
The Slope is 12/-12 simplify:
slope = -1
What is the context of the question
Answer:
First rectangle: 12 cm by 2 cm
Second rectangle: 8 cm by 3 cm
Step-by-step explanation:
You can examine factor pairs of 24 to see which pairs meet the requirements:
24 = 1×24 = 2×12 = 3×8 = 4×6
Factor pairs (2, 12) and (3, 8) have one factor that differs by 1 and another factor that differs by 4. We can use these numbers to describe the rectangles:
First rectangle: 12 cm by 2 cm
Second rectangle: 8 cm by 3 cm
Answer:
Step-by-step explanation:
<u>Find the sum:</u>
- 1/2n(n+1) + 1/2(n+1)(n+2) =
- 1/2(n² + n) + 1/2(n² + 3n + 2) =
- 1/2(n² + n + n² + 3n + 2) =
- 1/2(2n² + 4n + 2) =
- n² + 2n + 1 =
- (n + 1)²
Proved
