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bekas [8.4K]
3 years ago
10

|2x + 3| - 6 = 11 show all work

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

x =7           and     x=-10

Step-by-step explanation:


|2x + 3| - 6 = 11

add 6 to each side

|2x + 3| - 6+6 = 11 +6

|2x + 3| = 17

now we split into 2 equations a positive and a negative

2x+3 = 17   and 2x+3 = -17

subtract 3 from each side

2x+3-3 = 17-3   2x+3-3 = -17-3

2x = 14            2x = -20

divide by 2

2x/2 = 14/2      2x/2 = -20/2

x =7           and     x=-10

pogonyaev3 years ago
3 0

Answer: x=7

Step-by-step explanation:

Step 1: Add 6 to both sides of the equation.

|2x+3|−6+6=11+6

|2x+3|=17

Step 2: Solve the absolute value.

|2x+3|=17

We know that there are two possibility's 2x+3=17 or 2x+3=−17 ...

2x+3=17

2x+3−3=17−3 (Then subtract 3 from both sides of the equation)

2x=14

2x /2 = 14 /2

Step 3. Divide both sides by 2.

Answer: x=7

Hope I could help! :)

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Tom destroys one toy car each week.

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Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
Phantasy [73]

x + y  = 24       where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24. 
x^2 + z^2 = 13^2
y^2 + z^2  = 20^2            where z  = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2  = 20^2 - 13^2  =  231
 now y = 24-x so we have

(24 - x)^2    - x^2 = 231

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x =  7.1875

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so smaller diagonal = 21.66 cm


looks like its the third choice.



5 0
4 years ago
HELP PLEASEEE How can you break up the figure into familiar shapes to determine the area?
Lubov Fominskaja [6]

Answer:

A) Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.

Step-by-step explanation:

hope it helps...

have a great day!!

5 0
3 years ago
Read 2 more answers
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kozerog [31]

Answer:

1

   a. 5

   b. 32

   c.  130

   d. 26

2

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Step-by-step explanation:

3 0
3 years ago
33. Suppose you were on a planet where the
tatyana61 [14]

<u>Answer:</u>

a) 3.675 m  

b) 3.67m

<u>Explanation:</u>

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And on planet given = 2.0ms^-2

A) <u>Since the maximum</u><u> jump height</u><u> is given by the formula  </u>

\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}

Where H = max jump height,  

v0 = velocity of jump,  

Ø = angle of jump and  

g = acceleration due to gravity

Considering velocity and angle in both cases  

\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)  

g1 = 2.0ms^-2 and  

g2 = 9.8ms^-2

Substituting these values we get H1 = 3.675m which is the required answer

B)<u> Formula to </u><u>find height</u><u> of ball thrown is given by  </u>

 \mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}

which is due to projectile motion of ball  

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,  

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write  

\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0ms^-2  and g2 = 9.8ms^-2

We get h1 = 3.67m which is the required height

6 0
4 years ago
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