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egoroff_w [7]
1 year ago
10

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?

Mathematics
1 answer:
liubo4ka [24]1 year ago
4 0

The quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x+6 is (x-2_.

Given the polynomial x^{3}+3x^{2} -4x-12 and x^{2} +5x+6 and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of x^{3}+3x^{2} -4x-12 divided by  , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

x^{3}+3x^{2} -4x-12=x^{2} +5x-6*(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of x^{3}+3x^{2} -4x-12 divided by x^{2} +5x-6 is (x-2).

Learnmore about quotient at brainly.com/question/673545

#SPJ4

Question is incomplete as the given expressions are incomplete as they should be like this:

x^{3}+3x^{2} -4x-12 and x^{2} +5x-6.

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PLEASE HELP
irina [24]

Answer:

12\sqrt{3} feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 1:\sqrt{3} :2

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12

Solving for x, we find that

x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36  \sqrt{3} }{3} = 12\sqrt{3}

So the length of the original pole would be 12\sqrt{3} feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0
2 years ago
The black triangle was transformed to make the gray triangle. Write an
sergeinik [125]

Answer:

m<4 = 117 degrees

Step-by-step explanation:

Knowing that angle 1 is 63 degrees, we can look at the other angle on the same side of the line, angle 4.

Angles on one side of a line add to 180 degrees.

180 - 63 = 117

6 0
3 years ago
10 cards are numbered from 1 to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then
Rasek [7]
16/100 is the probability Hope this helps
6 0
3 years ago
Read 2 more answers
795 divided by 42 does it have a remainder and what’s the answer?
salantis [7]

Answer:

yes it's a decimal 18,9285714286

5 0
2 years ago
Choose the statement beloe that lists the sides in order from Least to Greatest.
kolezko [41]

Option A: SU, TU, ST is the right answer

Step-by-step explanation:

In a triangle

  • The largest side and the largest angle are opposite to each other
  • The shortest side and the shortest angle are opposite to each other.

So using the above axioms we can observe the triangle.

  1. The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
  2. The smallest angle is m∠T = 25° so the shortest side is SU
  3. The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°

So the sides in order from least to greatest are: SU, TU, ST

Hence,

Option A: SU, TU, ST is the right answer

Keywords: Geometry, Triangles

Learn more about triangles at:

  • brainly.com/question/10941043
  • brainly.com/question/10978510

#LearnwithBrainly

5 0
3 years ago
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