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Varvara68 [4.7K]
3 years ago
11

Is the expression below completely factored? If not, complete the factorization.

Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).

Step-by-step explanation:

Considering the expression

4y(8y3 – 12y2 + 6y)

From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element

8y3/2y = 4y2

12y2/2y = 6y

6y/2y = 3

Hence

4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)

= 8y2(4y2 - 6y + 3)

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Find the values of the six trigonometric function if the point is on the terminal side of the angle.
ale4655 [162]

The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).

Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).

If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.

In summary,

- length of short leg = 1 unit

- length of long leg = 5 units

- length of hypotenuse = √26 units

Let x be the length of the leg on the x axis (short leg). Let

y be the length of the other leg (long leg).

Let r be the length of the hypotenuse.

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r = √26

Now we can calculate the trigonometric identity:

sin θ = y/r

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tan θ = y/x

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Learn more about Pythagorean theorem brainly.com/question/343682

8449

7 0
2 years ago
A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
vagabundo [1.1K]

Answer:

She sold 5.775 kilograms of pears at the farmer's market.

Step-by-step explanation:

Let's first determine the information that the question gives us, and what we need to find.

Given:

The farmer sold 7.7 kilograms of apples and pears

1/4 of the weight is apples

The rest of the weight is pears

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Start by finding the fraction of the whole weight that was pears...

1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}

Now, find 3/4 of 7.7...

\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg

She sold 5.775 kilograms of pears at the farmer's market.

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2 years ago
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