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The height of the parallelogram, h, can be found by dividing the area by the length of the base. If the area of the parallelogram is represented by 4x2 – 2x + 5 and the base is 2x – 6, which represents the height? 2x + 5 + 2x – 7 – 2x – 7 + 2x + 5 –

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Gasaqui

Answer:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Step-by-step explanation:

We know that the height of a parallelogram can be found by divind the area by the lenght of the base.

The area is 4x2 – 2x + 5 and the base is 2x – 6. To find the height, we need to divide both polynomials:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Answer:

[tex]2x+5+\frac{35}{2x-6}[/tex]

Step-by-step explanation:

Given,

The area of the parallelogram, A = [tex]4x^2-2x+5[/tex]

The length of its base, b = [tex]2x-6[/tex]

∵ The height of the parallelogram.

[tex]h=\frac{A}{b}[/tex]

[tex]\implies h=\frac{4x^2-2x+5}{2x-6}[/tex]

[tex]=2x+5+\frac{35}{2x-6}[/tex]   ( by long division shown below )

Hence, the height of the given parallelogram is,

[tex]2x+5+\frac{35}{2x-6}[/tex]

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