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Mathematics, 21.05.2020 03:12 muffin261

The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents the rectangle’s width?

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Answer from: dondre54
AnswEr :

The area of the rectangle is of the form 6x² - 9x - 15

Factoring the given expression,

\sf \:  {6x}^{2}  - 9x - 15 \\  \\  \leadsto \:  \sf \:  3\bigg( {2x}^{2}  - 3x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg( {2x}^{2}  - 5x + 2x - 5 \bigg) \\  \\  \leadsto \:  \sf \: 3 \bigg((2x - 5)(x + 1) \bigg)

Length of the rectangle is 2x - 5

Thus,

\leadsto \:  \sf \: (2x - 5)(3x + 3)

The breadth of the rectangle is 3x + 3
ansver
Answer from: Quest

maybe showing the graph would

step-by-step explanation:

-387129 iq

ansver
Answer from: Quest
The answer is poppy pants69

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The area of a rectangle is 6x^2-9x-15. And the length is (2x-5). Which expression best represents th...