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BigorU [14]
3 years ago
13

PLEASE HELP!!!! Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work.

Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0
|4x+3|=9+2x  if we square both sides, we can eliminate the absolute values signs...

16x^2+24x+9=81+36x+4x^2  subtract the right side from both sides

12x^2-12x-72=0  now we can factor

12(x^2-x-6)=0

12(x^2+2x-3x-6)=0

12(x(x+2)-3(x+2)=0

12(x-3)(x+2)

So:

x= -2 or 3


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The formula for any geometric sequence is a n = a 1 · r n - 1 , where a n represents the value of the nth term, a 1 represents t
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Answer:

Step-by-step explanation:instead, try making the subscripts and superscripts stand out:

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a    =  a         * r

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Believe me, it's worth the extra work to do this!!

Given the sequence   -3, -6, -12, -24, you can easily see that the first term,

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So, a       = -3 and r=2.

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3 years ago
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A human hair was measured to be 8.0×10−48.0×10-4 inch thick. A cat hair was measured to be 4.0×10−14.0×10-1 inch thick. How much
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Sveta_85 [38]

Answer:

a.x=10 \textdegree

b.

m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree

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