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Evgen [1.6K]
3 years ago
8

List the steps to solve the equation x^2 + 12x + 28= 0 by completing the square, and give the solution or solutions.​

Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer: look at the 2 picture

Step-by-step explanation: Hope this help :D

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Which value is not part of the five-number summary needed for a box plot of this data?
erma4kov [3.2K]

Order the row {5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19} from the smallest number to the biggest number:

{1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27}.

The minimum is 1, the maximum is - 27.

The median is the middle number in this row - 9.

The median of left part {1, 2, 5, 6, 7} is 5 and the median of the right part {12, 15, 18, 19, 27} is 18.

From the option A-D only number 11 is absent (numbers 1, 5 and 9 are part of the five-number summary).

Answer: correct choice is D.

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Mean of 7
mixas84 [53]

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Because 63 is a multiple of 7

So.... 63/7

=9

So this shows us 9 is the mean

HOPE IT HELPS YOU!

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6 0
3 years ago
Find the distance between the points J( – 8,0) and K(1, 4).
Ksenya-84 [330]

Answer:

The answer is

\sqrt{97}  \:  \: units

Step-by-step explanation:

The distance between two points can be found by using the formula

d =   \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

|JK|  =  \sqrt{ ({ -  8 - 1})^{2} +  ({0 - 4})^{2}  }  \\  =  \sqrt{ ({ - 9})^{2} + ( { - 4})^{2}  }  \\  =  \sqrt{81 + 16}  \\

We have the final answer as

\sqrt{97}  \:  \:  \: units

Hope this helps you

4 0
3 years ago
Use the dot product to determine whether v and w are orthogonal.
nata0808 [166]

Answer:

B. The vectors v and w are orthogonal because their dot product is <u> 0 </u>

Step-by-step explanation:

Given that :

v=  - i - j  

w= - i + j

Therefore;

vw = ( - i - j )  ( - i + j )

Taking each  set of integer of the vector into consideration:

vw = ( -1 × - 1) ( -1 × 1)

vw = 1 - 1

vw = 0

Hence, we can conclude that :

The vectors v and w are orthogonal because their dot product is <u> 0   </u>

7 0
4 years ago
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