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Nady [450]
3 years ago
9

Write an expression equivalent to 6 - 2x + 5 + 4x that only has two terms.

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

11 + 2x

Step-by-step explanation:

In algebra, like terms are terms that have the same variables (letter after the number). Like terms can be combined for example the 6 and 5 have the same variable (none) so they can be combined. IMPORTANT! While we do combine the 2x and the 4x since the 2x came after a minus sign we consider it a negative, so -2x + 4x (or 4x - 2x) is 2x NOT 6x

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We will have the following:

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Now, knowing this and the the properties of the diagonals we will have that [We use the law of cosines}:

First diagonal [AC} is given by:

\begin{gathered} AC=\sqrt{16^2+14^2-2cos(41)}\Rightarrow AC=10.67193085... \\  \\ \Rightarrow AC\approx10.7 \end{gathered}

So, one of the diagonals has an approximate length of 10.7 ft.

Second diagonal [BD] is given by:

\begin{gathered} BD=\sqrt{16^2+14^2-2(16)(14)cos(139)}\Rightarrow BD=28.10889347... \\  \\ \Rightarrow BD\approx28.1 \end{gathered}

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<em>**Diagonals**</em>

\begin{gathered} AC\approx10.7ft \\  \\ BD\approx28.1ft \end{gathered}

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