Multiply (3p+4q) by (3m+2n).

Mathematics

1 answer:

trapecia [35]3 years ago

5 0

Answer:

9pm + 6pn + 12qm + 8qn

Step-by-step explanation:

Use FOIL (firsts, outers, inners, lasts)

^ this tells you what to multiply

Multiply the firsts 3p × 3m = 9pm

Multiply the outers 3p × 2n = 6pn

Multiply the inners 4q × 3m = 12qm

Multiply the lasts 4q × 2n = 8qn

You might be interested in

Expand and simplify (n-2)(3n+7) + 2n(2n+3)

KonstantinChe [14]

3n^2+7n-6n-14+4n^2+6n= 7n^2+7n-14

Hope that helps and best of wishes!

6 0

3 years ago

Suppose y varies directly with x. if y=-3 when x=5 find y when x=-1

Scrat [10]

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x

&& y={{ k }}x
\end{array}
\\ \quad \\
\textit{we know that, when}
\begin{cases}
y=-3\\
x=5
\end{cases}\implies y=kx\implies (-3)=k(5)$

solve for "k", to find the "constant of variation",
then plug it back in the y = kx, to get the equation
now
what's is y when x = -1?
well, just plug that in the equation with the found "k" value,
to get "y" :)

3 0

3 years ago

Read 2 more answers

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height

Masja [62]

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5