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myrzilka [38]
2 years ago
8

Choose the correct simplification of the expression (−2x + 10y)(4x − 6y). (1 point)

Mathematics
2 answers:
ELEN [110]2 years ago
5 0
(-2x+10Y)(4X-6Y) can be simplified as -8x+-60Y because you have to combine like terms such as -2x and 4x.
Sidana [21]2 years ago
4 0
Here is your simplification step by step. :)

<span><span>(<span><span>−<span>2x</span></span>+<span>10y</span></span>)</span><span>(<span><span>4x</span>−<span>6y</span></span>)</span></span><span>
=<span><span>(<span><span>−<span>2x</span></span>+<span>10y</span></span>)</span><span>(<span><span>4x</span>+<span>−<span>6y</span></span></span>)</span></span></span><span>
=<span><span><span><span><span>(<span>−<span>2x</span></span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>−<span>2x</span></span>)</span><span>(<span>−<span>6y</span></span>)</span></span></span>+<span><span>(<span>10y</span>)</span><span>(<span>4x</span>)</span></span></span>+<span><span>(<span>10y</span>)</span><span>(<span>−<span>6y</span></span>)</span></span></span></span><span>
=<span><span><span><span>−<span>8<span>x2</span></span></span>+<span><span>12x</span>y</span></span>+<span><span>40x</span>y</span></span>−<span>60<span>y2</span></span></span></span><span>
=<span><span><span>−<span>8<span>x2</span></span></span>+<span><span>52x</span>y</span></span>−<span>60<span>y<span>2

Hoped I helped!</span></span></span></span></span>
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Answer:  \frac{4\pi}{3} \text{ meter per hour}

Step-by-step explanation:

The circular oil slick is expanding at a rate of  2 m^2/h

Let A be the area of the circular oil slick,

So, the changes in  A with respect to time (t),

\frac{dA}{dt} = 2

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Also, the change in diameter with respect to time(t),

\frac{d}{dt} (2 r) = 2 \frac{dr}{dt}

\frac{d}{dt} (2 r) = 2 \times \frac{1}{\pi r}

\frac{d}{dt} (2 r) = \frac{2}{\pi r}

For r = 1.5 m,

\frac{d}{dt} ( 2 r)]_{r=1.5} = \frac{2}{\pi \times 1.5}=\frac{20}{\pi \times 15}=\frac{4\pi }{3}\text{ meter per hour}




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