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3 years ago

F(x)= 3x+10 and g(x)= 3x-7

Mathematics

1 answer:

Orlov [11]3 years ago

4 0

Answer:

1. x=-10/3

2. x=7/3

Step-by-step explanation:

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Find exact value of cos(2 tan^-1(12/5))

SCORPION-xisa [38]

$\bf cos\left[2\ tan^{-1}\left( \frac{12}{5} \right) \right]
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\textit{let's say, hmm }tan^{-1}\left( \frac{12}{5}\right)=\theta\textit{ that simply means}
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cos\left[2\ tan^{-1}\left( \frac{12}{5} \right) \right]\iff cos(2\theta)\implies 2cos^2(\theta)-1\leftarrow 
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using\\
double\\angle\\
identities
\end{array}$

$\bf \textit{so hmm what is the }cos(\theta)?\quad cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\\\\\
\textit{so, let's use the pythagorean theorem, to get the hypotenuse}
\\\\\\
tan^{-1}\left( \frac{12}{5}\right)=\theta\implies tan(\theta)=\cfrac{12}{5}\cfrac{\leftarrow opposite=b}{\leftarrow adjacent=a}
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c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\implies c=\sqrt{5^2+12^2}\implies c=\sqrt{169}
\\\\\\
c=13$

$\bf 2cos^2(\theta)-1\iff 2\left[ cos(\theta) \right]^2-1\implies 2\left[ \cfrac{5}{13} \right]^2-1
\\\\\\
2\cdot \cfrac{25}{169}-1\implies \cfrac{50}{169}-1\implies -\cfrac{119}{169}$

5 0

3 years ago

Add: 7 4/10 + 2/10 Simplify your answer.

IgorLugansk [536]

It's 3

How I know

___________ tell me if this was right

6 0

3 years ago

Please help!

Sidana [21]

10 11::10 = 1

a = 1. a is the answer.

5 0

4 years ago

Problems with Equations:

Bas_tet [7]

Answer:

x = 11

The value "11" makes the equation true.

2 ( x - 5 ) = 12

2 ( 11 - 5 ) = 12

2 ( 6 ) = 12

12 = 12

Step-by-step explanation:

5 0

3 years ago

Type A is 8 feet tall and grows at a rate of 18 inches per year. Type B is 9 feet tall and grows at a rate of 17 inches per year

Liula [17]

Answer:

12 years.

Step-by-step explanation:

Le x represent number of years.

We have been given that type A is 8 feet tall and grows at a rate of 18 inches per year. So growth of type A in x years would be $18x$ inches.

1 feet = 12 inches.

8 feet = 8*12 inches = 96 inches.

9 feet = 9*12 inches = 108 inches.

The total height of type A would be $96+18x$ inches.

We are also told that type B is 9 feet tall and grows at a rate of 17 inches per year. So growth of type B in x years would be $17x$ inches and total height of type B would be $108+17x$ inches.