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.
Answer:
48x-5
Step-by-step explanation:
multiply
5*8x
to get
8x+40x-5
combine like term
48x-5
8,9,10
how i found this out was if u replace m with 8 it will be 8+7 which is 15 and less then 18
for 9 its 9+7 which is 16 which is less then 18
and for 10 its 10+7 which is 17 which is less then 18
and for 11 its 11+7 is 18 which is equal to 18 so it would not apply to this equation
hope this helps
Answer:
24, 48
Step-by-step explanation:
1. A common multiple is a number, specifically a whole number, that is a shared multiple between 2 or more numbers.
2. Given the information above, we can see there's a list of multiples for 6 and 8. The multiples that 6 and 8 share are 24 and 48, so they're common multiples.
Therefore, the answer is 24 and 48.
The inequality is :
4 + x > 6