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Mkey [24]
3 years ago
9

What value of x makes the equation true 2 (6x-1) = -38

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

<h3>\boxed{\bold{\boxed{ \sf{x =  - 3}}}}</h3>

Step-by-step explanation:

\sf{2(6x - 1) =  - 38}

Distribute 2 through the parentheses

⇒\sf{12x - 2 =  - 38}

Move constant to right hand side and change it's sign

⇒\sf{12x =  - 38 + 2}

Calculate

⇒\sf{12x =  - 36}

Divide both sides of the equation by 12

⇒\sf{ \frac{12x}{12}  =  \frac{ - 36}{12} }

Calculate

⇒\sf{x =  - 3}

Hope I helped!

Best regards!!

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2 years ago
Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.
Gnesinka [82]

Answer:

AM = 25, AC = 15, CM = 20

Step-by-step explanation:

The given parameters are;

In ΔACM, ∠C = 90°, \overline{CP} ⊥ \overline{AM}, AP = 9, and PM = 16

\overline{AC}² + \overline{CM}² = \overline{AM}²

\overline{AM} = \overline{AP} + PM = 9 + 16 = 25

\overline{AM} = 25

\overline{AC}² = \overline{AP}² + \overline{CP}² = 9² +  \overline{CP}²

∴ \overline{AC}² = 9² +  \overline{CP}²

Similarly we get;

\overline{CM}² = 16² + \overline{CP}²

Therefore, we get;

\overline{AC}² + \overline{CM}² = 9² +  \overline{CP}² + 16² + \overline{CP}² = \overline{AM}² = 25²

2·\overline{CP}² = 25² - (9² + 16²) = 288

\overline{CP}² = 288/2 = 144

\overline{CP} = √144 = 12

From \overline{AC}² = 9² +  \overline{CP}², we get

\overline{AC} = √(9² +  12²) = 15

\overline{AC} = 15

From, \overline{CM}² = 16² + \overline{CP}², we get;

\overline{CM} = √(16² + 12²) = 20

\overline{CM} = 20.

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3 years ago
it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if th
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3 years ago
Find Mean, Median, mode and range. Round to the nearest tenth.
Zigmanuir [339]

Answer:

Mean =26.2

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Mode=32

Range=38

Step-by-step explanation:

From the stem and leaf plot, we obtain the original data as:

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

The median is middle observation of the array.

Thebefore the median is 27

The mode is the number that occurs most.

The mode is 32.

The range is the highest observation minus the least observation.

The range is 47-9=38

The mean is given by:

\bar x =  \frac{9 + 11 + 12 + 12 + 14 + 17 + 25 + 25 + 27 + 32 + 32 + 32 + 33 + 35 + 41 + 42 + 47}{17}

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