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Anna007 [38]
3 years ago
10

How to solve 12ax-2ax+14x-2a+ -3x

Mathematics
1 answer:
Advocard [28]3 years ago
8 0
That long, messy expression is not an equation and it's not a question,
so there's nothing to solve or answer.  However, it IS long and messy, so
your homework assignment might be to 'simplify' it.  Here's how:

<span>12ax - 2ax + 14x - 2a + -3x

Everything we'll do to this is called "combine like terms".  That means
"combine terms that are alike".  Terms are alike when they have the
same letter variables.
 
12ax  and  -2ax  are like terms.  Combine them, and you get  10ax .

14x  and  -3x  are like terms.  Combine them, and you get  11x .

So now we have:  10ax + 11x + 2a .

Nothing has been changed.  This shorter, simpler expression has
exactly the same value as the original long messy one has.  It has
just been cleaned up, and it looks neater and simpler.

You might also be expected to 'factor' the expression.  I don't know.
If you want to do that, then you could do it in 2 different ways . . .
either factor the 'x' from the two terms that have 'x' in them, or
else factor the 'a' from the two terms that have 'a' in them. 
Without explanation, here's how those would look:

           x(10a + 11) + 2a
or     
           a(10x + 2) + 11x .

Again, nothing has changed.  Both of these have the same value, and
their value is the same as the value of the long messy expression in
the question.
 
</span>
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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

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Answer:

A translation

Step-by-step explanation:

:)

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