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yuradex [85]
3 years ago
13

Which of the following is the solution to 9|x +4|>54 ?

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

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Please help!!! This is one question with a couple parts I am extremely confused and it would be amazing if you could show steps!
Dovator [93]

Answer:

  a)  |n -11| = 5

  b)  n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

  |n -11|

Since we want that distance to be 5, we can write the equation ...

  |n -11| = 5

__

b) The equation resolves to two:

  • n -11 = 5
  • n -11 = -5

Adding 11 to both sides of both equations gives ...

  • n = 16
  • n = 6

The two solutions are n=6 and n=16.

_____

<em>Comment on the question statement</em>

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."

4 0
3 years ago
What is the value of h in the figure below? In this diagram, /\BAD ~ /\CBD.
dusya [7]

Answer:

12

Step-by-step explanation:

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9/h = h/16

=144 ( 9 x 16)

h₂ = 144

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h= 12

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3 years ago
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(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{2 +1}{-4 +6} \implies \cfrac{ 3 }{ 2 }

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y +1= \cfrac{3}{2} (x +6) \end{array}}

4 0
1 year ago
Multiply (x + 1)^3
Shalnov [3]
<h3>Answer: x3 +2 +x+x+</h3>

Step-by-step explanation:

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