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3 years ago

What is the distance between -1 and 7 on the number line? A) -8 B) -6 C) 6 D) 8

Mathematics

1 answer:

hjlf3 years ago

3 0

Answer:

Step-by-step explanation:

-1 0 1 2 3 4 5 6 7

9 units. distance is always positive.

ans. D

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3 years ago

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Express 0.2631 correct to three decimal places

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0.263.

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The 4th decimal place is 1 so the third decimal places remains the same.

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

o-na [289]

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

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

We are given length of CG=4

Median divide by centroid 2:1

CG:GM=2:1

Where, CG=4

$\therefore GM=2$ ft

Length of CM=4+2= 6 ft

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

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

Using trigonometry ratio identities

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

$BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3}$ ft

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

Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?

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2 years ago

F(h) = -2(h - 4)2 + 22.

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