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Temka [501]
3 years ago
15

What is the factorization of the polynomial below? x2 + 11x + 10

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

(x+1)(x+10)

Step-by-step explanation:

You must find two numbers that multiply to make 10 and add to make 11. In this case those numbers are 1 and 10 (1×10=10, 1+10=11)

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In the following triangle theta=60.Find the values of the angles of the angles B and B'
Contact [7]

Answer:

180-60 = 120 if triangle is not equilateral it cannot be isosceles then depending where the angles are they will show  60,60,60 if equilateral

For isosceles it would need to be 58 61 61 as 60, 60,60 cannot be isosceles.

Vectors 60 if right angled triangle = 90-60 = 30

So angles = 30 and 90 degree or just 120 if angle theta is a vector as explained below.

Step-by-step explanation:

Statement: If two vectors are represented by the sides of a triangle both in magnitude and direction taken in order, the resultant sum of the vectors is given by the closing third side of the triangle taken in the reverse order both in the magnitude and direction

5 0
3 years ago
A geometric sequence has first term 1/9 and common ratio 3. Which is the first term of the sequence which exceeds 1000?
Svetach [21]
a_{n}= \frac{1}{9}  (3)^{n-1}
(We know this from a=1/9 and r=3)
Simplifying this, we get:
\frac{1}{9} (3)^{-1} (3)^n

Since we're finding the first term that exceeds 1000, let's set it equal to 1000.

\frac{1}{27}(3)^n=1000
Multiplying both sides by 27
3^n=27000

log_{3}27000=n

n≈9.2

We have to round n up, since if n=9, the value would be <1000.
Therefore n=10. Substituting n=10,
\frac{1}{27}3^{10}
=2187

Therefore the first term that exceeds 1000 is 2187, and it is the 10th term
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3 years ago
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Answer:

  F.  x ≤ -5

Step-by-step explanation:

Translating the diagram to more conventional symbols, we have ...

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  4x ≤ -20 . . . . . . . subtract 12 from both sides

  x ≤ -5 . . . . . . . . . divide both sides by 5

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3 years ago
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