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Oliga [24]
3 years ago
12

Choose all the numbers that could be common denominators for 2/3 and 3/4. 8, 12, 16, 36, 48

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer: 12 36 and 48

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Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
SOMEONE HELP ME WITH THISS
Katen [24]

Answer:

/_ 12 is the angle of depression from the firefighter to the second story window.

Step-by-step explanation:

Hope it helps!

<em>#CarryOnLearning</em><em> </em>

7 0
2 years ago
Read 2 more answers
Write in simplest form.
Jobisdone [24]
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3 years ago
Hey guys I'm pretty sure I got the first two questions but if I didn't can you help me and I need help with the last two questio
Virty [35]
GOF = 62°
the adjacent angle i think is EOH
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