Answer:
Carlos is incorrect.
Step-by-step explanation:
We have been given that a line through the origin has a slope of 
. Carlos thinks the slope of a perpendicular line at the origin will be 3.
We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.
The slope of the perpendicular line at the origin will be negative reciprocal of .
Let us find negative reciprocal of as:
Since the slope of a perpendicular line at the origin is 
, therefore, Carlos is incorrect.
478×427= 204,106cm
204,106cm - 2041.06m
204,106cm - 20.411m2
-5.9, -4.6, -1/4, 1/2, 1.75, 2, 18, 21.
Answers: choice C and choice E
Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.
If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.
