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Art [367]
3 years ago
11

Multiply (2m + 3)(m2 – 2m + 1).

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
(2m + 3)(m^2 - 2m + 1) = 
2m(m^2 - 2m + 1) + 3(m^2 - 2m + 1) =
2m^3 - 4m^2 + 2m + 3m^2 - 6m + 3 =
2m^3 -m^2 - 4m + 3 <===
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Find the length of side x simplest radical form with a rational denominator
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Answer:

The length of x in the simplest radical form with a rational denominator will be:      

  •       x=\frac{5\sqrt{3}}{2}

Step-by-step explanation:

Given

hypotenuse = 5

angle Ф = 60°

To determine

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Using the trigonometric ratio

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so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation

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so

cos\:60^{\circ }\:=\:\frac{x}{5}

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switch sides

         \frac{x}{5}=\frac{\sqrt{3}}{2}

Multiply both sides by 5

         \frac{5x}{5}=\frac{5\sqrt{3}}{2}

Simplify

         x=\frac{5\sqrt{3}}{2}

Therefore, the length of x in the simplest radical form with a rational denominator will be:      

  •       x=\frac{5\sqrt{3}}{2}
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