De=4x+10, ef=2x-1, and df=9x-15, find df

DE and EF are segments of the line DF, so they will add up to DF. This can be represented with this equation:

Combine like terms:

Add 15 to both sides:

Subtract 6x from both sides:

Divide both sides by 3 to get x by itself:

The value of x will be 8.

Plug this value of x into the expression for DF:

DF will equal 57.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

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.