Miguel wrote two equations. he thinks the two equations represent parallel lines. is he correct? explain why or why not.
-2x+6y=-42
y+10=1/3(x-3)

Yes, he is correct because both the lines have same slope.

Step-by-step explanation:

Given:

The two equations are:

Two lines are parallel only if their slopes are equal.

So, let us write each equation in slope-intercept form , where, is the slope of the line.

Equation 1 is:

So, the slope of line 1 is

Now, equation 2 is:

Therefore, slope of line 2 is,

∵

Therefore, both the lines are parallel to each other.

answer: 1 2 3 6

step-by-step explanation:

1x6=6 2x3=6

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.