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3 years ago

Factor 4k^2-49 and m^3+3m^2-4m-12

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

<span> m = 3 m = 2 m = -2 </span><span>Factor 4k^2-49 and m^3+3m^2-4m-12</span>

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A container holds 5L of fluid. Does it hold more than or less than 500mL of fluid

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3 years ago

Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.

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Answer: $\text{Length of AG=}\frac{2\sqrt{63}}{3}$

Explanation:

Please follow the diagram in attachment.

As we know median from vertex C to hypotenuse is CM

$\therefore CM=\frac{1}{2}AB$

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Median divide by centroid 2:1

CG:GM=2:1

Where, CG=4

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Length of CM=4+2= 6 ft

$\therefore CM=\frac{1}{2}AB\Rightarrow AB=12$

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$AC=AB\sin 30^0\Rightarrow AC=6$ ft

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$CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3}$ ft

In $\triangle CAN, \angle C=90^0$

Using pythagoreous theorem

$AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}$

Length of AG=2/3 AN

$\text{Length of AG=}\frac{2\sqrt{63}}{3}$ ft

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3 years ago

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3 years ago

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