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jekas [21]
3 years ago
10

1-m ___ =2/3 HELP PLEASE 1+m

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Domain:\\\\1+m\neq0\to m\neq-1\\\\\dfrac{1-m}{1+m}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\3(1-m)=2(1+m)\qquad\text{use distributive property}\\\\(3)(1)+(3)(-m)=(2)(1)+(2)(m)\\\\3-3m=2+2m\qquad\text{subtract 3 from both sides}\\\\-3m=-1+2m\qquad\text{subtract 2m from both sides}\\\\-5m=-1\qquad\text{divide both sides by (-5)}\\\\m=\dfrac{1}{5}\neq-1\\\\Answer:\ \boxed{m=\dfrac{1}{5}}

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In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink f
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Answer:

Probability that the person preferred milk as his or her primary drink  = 0.3

Step-by-step explanation:

Given -

In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

The probability of person preferred milk = \frac{18}{60}

The probability of person preferred coffee = \frac{29}{60}

The probability of person preferred juice = \frac{13}{60}

Probability that the person preferred milk as his or her primary drink =

P ( milk ) = \mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}

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Find the length of side x in simplest radical form with a rational denominator.
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Answer:

x = \frac{\sqrt{6}}{2}

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

sin(\theta) = \frac{opp}{hyp}

Plug in the values

sin(45) = \frac{x}{\sqrt{3}}

Multiply both sides by √3

\sqrt{3}*sin(45) = x

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\frac{\sqrt{3*2}}{2} = x

\frac{\sqrt{6}}{2} = x

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