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3 years ago

1. Divide 6x^4 + 2x^3 – 6x^2 – 14x – 1 by 3x + 1 by using synthetic division or long division. Show all

1 answer:

5 0

      2x^3 - 2x - 4

3x + 1 6x^4 + 2x^3 - 6x^2 - 14x - 1
      6x^4 + 2x^3

       -6x^2 - 14x - 1
   -6x^2 - 2x

   -12x - 1
   -12x - 4

   3

3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.

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2 years ago

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Any help would be appreciated. Thank you!

trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

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3 years ago

Numbers 50, 42, 35, 2x + 10, 2x -8, 12, 11,8 are written in descending order and their median is 25, find x.

Natalija [7]

Answer:

Step-by-step explanation:

25=mean of (5th+6th value)

25=1/2*(2x-8+2x+10)

25=1/2*4x+2

4x+2=50

4x=48

x=12

PLZ MARK AS BRAINLIEST

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2 years ago

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I don’t know how to do this. can someone please help me :)

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The surface area of a cylinder is the sum of the area of the two ends and the lateral area.
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2

The 3rd selection is appropriate.

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3 years ago

How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?

kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution is added

so, we get solution as

$=\frac{60}{100}\times x$