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timurjin [86]
3 years ago
13

Select each expression that is equivalent to 4(x + 8)

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
A D E

The first one , fourth one , and last one
Triss [41]3 years ago
6 0

Answer:

4(x + 8) is equivalent to 4x + 32, 4x + 8(4),

2(2x + 16)

Step-by-step explanation:

4(x + 8)

4 × x + 4 × 8

4x + 32

Thus, 4(x + 8) is equivalent to 4x + 32, 4x + 8(4),

2(2x + 16)

<u>-TheUnknownScientist</u>

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Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

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Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

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The top of the ladder to the ground represents

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The pythagorean theorem applies, which says

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h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

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  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

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