$\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }$

$\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}$

7 0

2 years ago

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" Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below.

vampirchik [111]

<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis

If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.

You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.

Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.

So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.

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6 0

3 years ago

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How to solve this problem?

Ann [662]

It depend on what problem you have

7 0

2 years ago