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Vinil7 [7]
3 years ago
10

What is the factored form of the expression? 16. d 2 + 18d + 81 (1 point) (d + 9)(d – 9) (d + 9) 2 (d – 81)(d – 1) (d – 9) 2

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0
Since a and c in this equation are perfect squares, you know that the value of the factored form is going to be the (sqrt of a*d added to the sqrt of 81)^2, making(d+9)^2
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The dot plot displays the number of marshmallows added to hot cocoa by several kids. What is the MAD of the data represented in
Pie

  Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

  • Find the mean of the data set
  • Find the absolute distance of each element from the mean
  • Find the average distance of all the elements which will be MAD of the data set.

Step - 1 :

Mean of the data set = \frac{\text{Total of the data}}{\text{Total number of elements}}

                                   = \frac{3+4+5+5+5+5+5+5+6+7}{10}

                                   = \frac{50}{10}

                                   =5 (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

3 - 5 = |-2| = 2

4 - 5 = |-1| = 1

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

6 - 5 = 1

7 - 5 = 2

Step - 3 :

Average of the absolute distance = \frac{2+1+0+0+0+0+0+0+1+2}{10}

                                                        = \frac{6}{10}

                                                        = 0.6

          Therefore, Option A will be the correct option.

Learn more,

brainly.com/question/24378074

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Describe the difference between vertical angles and linear pairs of angles
Anvisha [2.4K]

The difference between vertical angles and linear pairs of angles is that linear pairs of angles has two adjacent angles whose noncommon sides form opposite sides and vertical angles have two adjacent angles that have common sides that and they have a common vertex.

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3 years ago
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fenix001 [56]

Step-by-step explanation:

A. 2(x+4)=2x+8

=G

B. 3(2x-1)=6x-3

=I

C. 4(x+2)=4x+8

=J

D. 2(x+3)=2x+6

=K

E. 3(4x+1)=12x+3

=H

A - G

B - I

C - J

D - K

E - H

<em><u>H</u></em><em><u>O</u></em><em><u>P</u></em><em><u>E</u></em><em><u> </u></em><em><u>I</u></em><em><u>T</u></em><em><u> </u></em><em><u>H</u></em><em><u>E</u></em><em><u>L</u></em><em><u>P</u></em>

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Answer:

I'm sorry idk

Step-by-step explanation:

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Simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)
11111nata11111 [884]

Answer:

8a^3.

Step-by-step explanation:

(a+b)^3=a^3+b^3+3a^2b+3ab^2

(a-b)^3=a^3-b^3-3a^2b+3ab^2

(a+b)^3+(a-b)^3=2a^3+6ab^2

According to the question

(a+b)^3+(a-b)^3+6a(a^2-b^2)

Put in the value

=2a^3+6ab^2 +6a^3–6ab^2

=8a^3

7 0
3 years ago
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