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TiliK225 [7]
3 years ago
9

What is the LCM of 7 and 9

Mathematics
1 answer:
Trava [24]3 years ago
7 0
The lcm of 7 and 9 is 63
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1. quadratic

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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

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3 years ago
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anzhelika [568]

Answer:

See below

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2.  The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up.  Therefore, there is a double solution.

3.  The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up.  Therefore, there are two real solutions.

I know this is a long explanation, but that is a way of looking at the problem.

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2 years ago
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