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OLEGan [10]
3 years ago
11

P

="absmiddle" class="latex-formula">
Mathematics
2 answers:
GrogVix [38]3 years ago
6 0

Answer:

(p - 6)(p + 2).

Step-by-step explanation:

Factoring p² - 4p - 12.

Note that  -6 * 2 = -12 and -6 + 2 = -4 so the answer is:-

(p - 6)(p + 2).

soldi70 [24.7K]3 years ago
3 0

Answer:

(p - 6)(p + 2)

Step-by-step explanation:

consider the product of the factors of the constant term which sum to give the coefficient of the p- term

product = - 12 and sum = - 4

The factors are - 6 and + 2

p² - 4p - 12 = (p - 6)(p + 2)


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1651 rounded to the nearest thousand
geniusboy [140]

Answer:

2000

nearest thousandth

if the last 3 digits are over 500 then it's rounding up

7 0
2 years ago
Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

\sec\,\theta = \frac{-5}{2}

cosec\,\theta =\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

3 0
3 years ago
5a/5a+5 x 10a +10/10​
DIA [1.3K]

Answer: 50a+2

Step-by-step explanation:

1. Simplify 5a5a\​5a​​5a​​ to 1.

1+5×10a+10

2.Simplify 5×10a to 50a.

1+50a+10

3.Cancel 10.

1+50a+1

4. Collect like terms.

50a+(1+1)

5. Simplify.

50a+2

6 0
3 years ago
Read 2 more answers
The sale price of a bike is $189.50. The sale tax is 5%. What is the total price?
Roman55 [17]
It would be $947.50 because you would multiply $189.50 by 0.05.
3 0
3 years ago
Read 2 more answers
This is a 30-60-90 triangle.<br> a<br> What is the measure of x?<br> Х<br> 43<br> X=<br> = [ ?
kherson [118]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in two steps; solving and theory.

I'll go and start off with the theory part!

Theory

We know that in geometry there are many types of triangles that have various different angles. With that, there are a few special triangles that people have made formulas for, one being a 30, 60, and 90 degree triangle.

The theorem states that the hypotenuse is 2x, the side opposite to 60 degrees is x\sqrt{3}, and the bottom is x.

Solving

We can solve this problem in a step, we just need to know what the theorem said and implement it here, since we know the values of the sides of the triangle, we can solve it by finding out the opposite side and applying the theorem rules.

If we look at the graph, we can see that the x part of the side opp. of 60 degrees is 4, that means that x would be double of 4, which is 8.

Therefore your answer would be: x=8

Cheers!

8 0
2 years ago
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