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andrew-mc [135]
3 years ago
7

PLEASE HELP! 8 POINTS!! Find the value

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

-sqrt(3)/2

Step-by-step explanation:

Use double angle identity for sin(2x)

sin(2x)=2sin(x)cos(x)

We are given sin(x)=-1/2 so we already have so far that:

sin(2x)=2(-1/2)cos(x)

sin(2x)=-1*cos(x)

We just need to find cos(x).  

x is in the fourth quadrant so cosine will be positive there

knowing the unit circle we should know that if sin(x)=-1/2 then cos(x)=sqrt(3)/2 while in 4th quadrant.

So the answer is sin(2x)=-1*sqrt(3)/2=-sqrt(3)/2

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[ f(x) = 3x + 2<br> g(x) = x2<br> Find gf(5)<br> Find fg(x)
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Answer:

gf(5) = 289.

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f(5) =  3(5) + 2 = 17

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Answers in Scientific Notation.
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one way is to factor the expressions

(a)

10^{5} (1.2 + (5.35 × 10^{1}))

= 10^{5} (1.2 + 53.5)

= 54.7 × 10^{5} = 5.47 × 10^{1}× 10^{5} = 5.47 × 10^{6}

(b)

10^{-3}((6.91 × 10^{1}) + 2.4)

= 10^{-3}(69.1 + 2.4)

= 71.5 × 10^{-3} = 7.15 × 10^{1} × 10^{-3} = 7.15 × 10^{-2}

(c)

10^{5}((9.7 × 10^{1}) + 8.3)

= 10^{5}(97 + 8.3)

= 105.3 × 10^{5} = 1.053 × 10^{2} × 10^{5} = 1.053 × 10^{7}

(d)

10^{1}((3.67 × 10^{1}) - 1.6)

= 10^{1}(36.7 - 1.6)

= 35.1 × 10^{1} = 3.51 × 10^{1} × 10^{1} = 3.51 × 10^{2}

(e)

10^{-6}((8.41 × 10^{1}) - 7.9)

= 10^{-6}(84.1 - 7.9 )

= 76.2 × 10^{-6} = 7.62 × 10^{1} × 10^{-6} = 7.62 × 10^{-5}

(f)

10^{4}((1.33 × 10^{1}) - 4.9 )

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7 0
3 years ago
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