A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
B) 12.5 ft
Step-by-step explanation:
set up a proportion of inches/feet equals inches/feet
let 'h' = height of sign
5.4/18 = 3.75/h
cross-multiply:
5.4h = 67.5
h = 12.5
Not sure what the measure of ____ is, can you specify?
Answer:
Consider triangle ABC with vertices at points A(2,-4), B(4,-4) and C(4,-2).
1. The rotation acts with the rule:
Then:
2. The reflection across the y-axis has a rule:
So,
Triangle A''B''C'' is exactly the same as tiangle from figure 1.
Answer: correct choice is 1.
PLZ brainliest answer
Step-by-step explanation:
