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Paladinen [302]
3 years ago
11

Factor by grouping:

Mathematics
2 answers:
BARSIC [14]3 years ago
3 0
(x-y)^2=x^2-2xy+y^2\\---------------------------\\\\4-12r+9r^2=2^2-2\cdot2\cdot3r+(3r)^2=(2-3r)^2

other\ method:\\\\4-12r+9r^2=4-6r-6r+9r^2=2(2-3r)-3r(2-3r)\\\\=(2-3r)(2-3r)=(2-3r)^2
faust18 [17]3 years ago
3 0
Because:
(a-b)^2=a^2+2ab+b^2
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GaryK [48]
6 7/8 - 1 1/4

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sattari [20]

Answer:

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Step-by-step explanation:

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Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
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The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

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To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

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a=\frac{0.9903 \times 140}{0.3420}

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Step-by-step explanation:

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stepan [7]

Answer:

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