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2 years ago

(x^2–x–4)multiplied by(x–5)

Mathematics

1 answer:

Sergio [31]2 years ago

7 0

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Step-by-step explanation:

Given polynomials are:

$x^2-x-4\\and\\x-5$

Both polynomials have to be multiplied. We will use distributive property for the said purpose

So,

$(x-5)(x^2-x-4)\\=x(x^2-x-4)-5(x^2-x-4)\\=x^3-x^2-4x-5x^2+5x+20$

Combining alike terms

$=x^3-x^2-5x^2-4x+5x+20\\=x^3-6x^2+x+20$

Hence,

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Keywords: Polynomials, Multiplication

Learn more about polynomials at:

#LearnwithBrainly

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Step-by-step explanation:

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3 years ago

Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

Volume of a cylinder

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

h = 18cm
V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

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$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

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2 years ago

Read 2 more answers

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Anettt [7]

Simplify 3ab + 4ab + 5
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3 years ago

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Vinil7 [7]

Answer:

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Step-by-step explanation:

Let x represent the missing number.

When you hear the words decrease, minus, that tells you to subtract.

Before we subtract, if there is a variable, we must do the opposite of subtraction, we need to add.

50 + 5 = x

Which means x = 50 + 5.

50 + 5 = 55.

Therefore, x = 55.

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3 years ago

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Answer:

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Step-by-step explanation:

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