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3 years ago

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

AfilCa [17]

Answer:

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

n-1

a = a * r

n n-1

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,

a is -3. The common factor is 2. Note how (-3)*2=-6, and so on.

So, a = -3 and r=2.

So the formula for this geometric sequence is

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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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I think it's 5.9 km not sure

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3 years ago

50*50+60+90+40-60-43-89-30-34+12

tensa zangetsu [6.8K]

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Can somebody help me, please?

Sveta_85 [38]

Answer:

a. $x=10 \textdegree$

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

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:

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

Since, the m∠K is a right angle, it measures 90°

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The answer is 12 letter C

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