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galben [10]
3 years ago
13

Add: (7x-6y)+(3x+3y-3)

Mathematics
2 answers:
Tomtit [17]3 years ago
6 0
Since all the functions in here are addition and subtraction, you can remove the parentheses and just combine like terms.
(7x-6y)+(3x+3y-3) \\ 7x-6y+3x+3y-3 \\ 7x+3x+3y-6y-3 \\ (7x+3x)+(3y-6y)-3 \\ 10x+(-3y)-3 \\ 10x-3y-3

The answer is 10x-3y-3. 

Hope this helps!
lyudmila [28]3 years ago
3 0
Let's simplify step-by-step.<span><span><span><span><span>7x</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>−3</span><span>=<span><span><span><span><span><span><span>7x</span>+</span>−<span>6y</span></span>+<span>3x</span></span>+<span>3y</span></span>+</span>−3</span></span>Combine Like Terms:<span>=<span><span><span><span><span>7x</span>+<span>−<span>6y</span></span></span>+<span>3x</span></span>+<span>3y</span></span>+<span>−3</span></span></span><span>=<span><span><span>(<span><span>7x</span>+<span>3x</span></span>)</span>+<span>(<span><span>−<span>6y</span></span>+<span>3y</span></span>)</span></span>+<span>(<span>−3</span>)</span></span></span><span>=<span><span><span>10x</span>+<span>−<span>3y</span></span></span>+<span>−3</span></span></span><u>Answer:</u><span>=<span><span><span>10x</span>−<span>3y</span></span>−<span>3</span></span></span>
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The top of two poles of height's 20m and 14m are connected by the wire
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Answer:

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Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

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The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

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From trigonometric ratios, we have;

tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}

Which gives;

D = \dfrac{6}{tan(30 ^{\circ}) }  = 10.39 \ m\approx 10 \ m

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