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Volgvan
3 years ago
12

Select the correct answer. What is the solution to |x − 6| ≥ 5? A. 1 ≤ x ≤ 11 B. -11 ≤ x ≤ 1 C. x ≥ 11 or x ≤ 1 D. x ≥ 1 or x ≤

-11
Mathematics
1 answer:
diamong [38]3 years ago
5 0

The absolute value of a number <em>a</em> is written as  |a|  . And represents the distance between a and 0 on a number line.

So, Option C. x≥ 11 or x ≤ 1 is correct answer

Inequality given is,

                              |x − 6| ≥ 5

Taking <em>positive case,</em>

                               x − 6 ≥ 5

                               x − 6 + 6 ≥ 5 + 6

                                x ≥ 11

Taking <em>negative case,</em>

                                 x − 6 ≤  - 5

                                x - 6 + 6 ≤ -5 + 6

                                   x ≤ 1

So, solution of given inequality is  x ≥ 11 or   x ≤ 1

Learn more:

brainly.com/question/1779337

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If the equation of a line in standard form is 3x + 2y = 18, then the x-intercept is 6 and the y-intercept is 9.
mario62 [17]

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true

Step-by-step explanation:

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3 years ago
  Simplify √ 105 <br><br> A. √ 42    B. 2√ 3    C. √ 105    D. 2√ 7
meriva
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5 0
3 years ago
8.6.PS-14
s2008m [1.1K]

Answer:

Answer:

11 feet

Step-by-step explanation:

Area formed by the watery pattern is 379.94 square feet.

Since the water is being sent out in circular pattern, the maximum distance at which the water is reaching out will be equal to the radius of the circle as the sprinkler is at the center of the circle.

Area of a circle is given as:

\begin{gathered}Area=\pi r^{2}\\\\ 379.94 = \pi r^{2}\\\\r^{2}=\frac{379.94}{\pi}\\\\ \text{Using pi equal to 3.14, we get}\\\\ r^{2}=121\\\\ r = 11\end{gathered}

Area=πr

2

379.94=πr

2

r

2

=

π

379.94

Using pi equal to 3.14, we get

r

2

=121

r=11

This means the radius of the circular pattern being formed is 11 feet. So the sprinkler can spread the water 11 feet away from it.

Step-by-step explanation:

im not sure if that is correct

comment if wrong

*hope it help:))

3 0
3 years ago
8=8p+13−3p please help ​
Elenna [48]

Answer:

-1=p

Step-by-step explanation:

8=8p+13-3p

8-13=8p-3p

-5=5p

-5÷5=5p÷5

-1=p

8 0
4 years ago
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