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choli [55]
3 years ago
7

Find the quotient. (12x 2 - 13x - 4) ÷ (4x + 1)

Mathematics
1 answer:
user100 [1]3 years ago
8 0

Answer:

3x-4

Step-by-step explanation:

(12x^2-13x-4)\div(4x+1)= \\\\(3x-4)(4x+1)\div (4x+1)= \\\\3x-4

Hope this helps!

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If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?
dem82 [27]

Answer:

Value of \sec \theta = \frac{5}{4}

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of \sec \theta.

By definition of secants;

\sec \theta = \frac{1}{\cos \theta}

Now, first find the cosine of angle \theta

As the point (12 , -9) lies in the IV quadrant , where \cos \theta > 0

Consider a right angle triangle;

here, Adjacent side = 12 units and Opposite side = -9 units

Using Pythagoras theorem;

(Hypotenuse side)^2= (12)^2 + (-9)^2 = 144 + 81 = 225

or

Hypotenuse = \sqrt{225} =15 units

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

\cos \theta = \frac{Adjacent side}{Hypotenuse side}

then;

\cos \theta = \frac{12}{15} = \frac{4}{5}

and

\sec \theta = \frac{1}{\cos \theta}= \frac{1}{\frac{4}{5}} = \frac{5}{4}

therefore, the value of \sec \theta is, \frac{5}{4}

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3 years ago
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Pls help me find the answer
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Rob and john share money in a ratio of 9:4. How much of the £39000 does john get ?
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They are all true. Hope that helps

               
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