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Agata [3.3K]
3 years ago
11

Awnser photo quick please #3

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

#1

Step-by-step explanation:

Hope this helps! <3

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Triangle DEF has vertex coordinates D(0, -3), E(-1,0), and F(-2,-1). It is
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D (0, -3)
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Austin walks 2/3 of the way to school and stopped to rest. Devyn walks 4/6 of the way to school and stops for a rest. Where are
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both are at the same distance

Step-by-step explanation:

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I need to get the left side to equal the right side. Keeping the right side alone and not changing it.
likoan [24]

<u>To prove the trigonometric equation:</u>

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

RHS=(\sin x+\cos x)(1-\sin x \cos x)

We know that \sin^2x +\cos^2x=1, substitute this in place of 1.

       =(\sin x+\cos x)(\sin^2x +\cos^2x-\sin x \cos x)

Multiply each term of the first term with each term of the 2nd term.

       =\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x

Group like terms together.

       =\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x

       =\sin^3x +( 0)+(0) + \cos^3 x

       =\sin^3x + \cos^3 x

       = LHS

RHS = LHS

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

Hence proved.

7 0
3 years ago
The cost of the apple is expressed as y = 12x + 6, where x is the number of apples. Find the cost of dozen apples.
astra-53 [7]

Answer:

<h2>             150</h2>

Step-by-step explanation:

x = dozen = 12

12x + 6 = 12•12 + 6 = 144 + 6 = 150

8 0
3 years ago
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