Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations

Step-by-step explanation:

multiplying the 2nd eqn by 9 we get,

9x+9y=81

then,subtracting 1st and 2nd eqn

9x+5y=41

9x+9y=81

- - -

0. -4y=-40

we get y = 10

then we get x=9-y

x=9-10

x= -1

so x is -1 and y is 10

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.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet