Answer:
C
Step-by-step explanation:
Both lines start and end on x = 3
The lower line has a positive slope and a y- intercept of - 2
The lower line has an open circle at it's endpoint indicating it cannot equal 3
x - 2 for x < 3
The upper line has a positive slope and a y- intercept of - 1, if we project the line. The line has a closed circle at it's start indicating it can equal 3, thus
x - 1 for x ≥ 3
Hence
x - 1 if x ≥ 3
x - 2 if x < 3 → C
Answer:
2x - 8
Step-by-step explanation:
Product of two and a number x
⇒ 2 multiply by x
⇒ 2x
Eight less than 2x
⇒ Take away 8 from 2x
⇒ 2x - 8
Answer: infinitely many and none
Step-by-step explanation:
if all variables cancel and you are left with zero, there are infinitely many solutions. if it is false there are no solutions.
Answer:
Choice B: BD/DA = CE/EA
Step-by-step explanation:
Slope is rise over run. For the two slopes to be equal, the rise over run of the two triangles must be equal.
The rise over run for triangle ABD is BD/DA.
The rise over run of triangle ACE is CE/EA.
For the slopes to be equal, BD/DA = CE/EA
Answer: Choice B.
Answer:
C) They are perpendicular lines.
Step-by-step explanation:
We first need to find the slope of the graph of the lines passing through these points using:

The slope of the line that passes through (−12, 15) and (4, −5) is


The slope of the line going through (−8, −9) and (16, 21) is



The product of the two slopes is

Since

the two lines are perpendicular.