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Vesnalui [34]
2 years ago
7

Using synthetic division, what is the quotient (2x3 + 3x − 22) ÷ (x − 2)?

Mathematics
1 answer:
Georgia [21]2 years ago
5 0

Answer:

B.  2x^2+4x+11

Step-by-step explanation:

The given expression is

2x^3+3x-22 \div x-2

We use synthetic division to obtain;

      2     0    3     -22  

2|  <u>         4    8      22</u>

     2     4    11        0

The quotient is  2x^2+4x+11

The correct chice is B

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What is the slope of a line perpendicular to the line whose equation is 6x+y=66x+y=6. fully reduce your answer?
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It looks like your equation repeated twice. I'm assuming it's 6x + y = 6.

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For the slope to be perpendicular, we do the opposite reciprocal of the slope given. So your slope of a perpendicular line is 1/6. 
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3 years ago
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erma4kov [3.2K]

Answer:

x(x + 1)

Step-by-step explanation:

\frac{2x + 1}{ \frac{1}{x} +  \frac{1}{x + 1}  }

Make denominators same:

\frac{2x + 1}{ \frac{x + 1}{x(x + 1)} +  \frac{x}{(x + 1)}  }

Add the numerators:

\frac{2x + 1}{ \frac{x + 1 + x}{x(x + 1)} }

\frac{2x + 1}{\frac{2x + 1}{x(x + 1)} }

Apply the rule:

\frac{a}{ \frac{b}{c} }  =  \frac{a \times c}{b}

Therefore,

\frac{(2x + 1)\times x(x + 1))}{2x + 1}

Cancel out common factor of 2x+1:

x(x + 1)

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2 years ago
An expression which combines variables, numbers, and at least one operation.
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An expression which combines variables, numbers and at least one operation is called binomial. Binomial consists of two terms that is separated with at least one operation. Operations may include addition, subtraction, multiplication and division.
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2 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:

<u>Volume of a cylinder</u>

\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 <u>radius of the cylinder</u>:

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

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

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

<u>Surface Area of a Cylinder</u>

\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)

\implies \sf SA=813.3908956...

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

8 0
2 years ago
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