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Tanzania [10]
3 years ago
13

What is the formula for finding circumference given the radius?

Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer:

C = 2\pi r\\

Step-by-step explanation:

Circumference = 2\times \pi \times r

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Find the rational roots f(x) =3x3+ 2x2 + 3x + 6
Ann [662]

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

<h3>How to determine the rational root of the function f(x)?</h3>

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

Read more about rational roots at

brainly.com/question/17754398

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4 0
1 year ago
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist? i, iii, and iv
tigry1 [53]

The solutions will lie  in all the four quadrants.

y≤2/7x+1

We have the following inequality:

y=2/7x+1

If x=0

y=2/7(0) +1

y=1

If y=0

x=-3.5

So the line passes through the points:

(0,1) and (-3.5,0)

To find the shaded region, let us take a point, namely, the origin and test it in the inequality:

y≤ 2/7x +1

0≤ 2/7(0) +1

0≤ 1 which is true

Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.

To learn more about Inequalities, visit brainly.com/question/12890742

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4 0
2 years ago
One eighth of Tony's books are mystery books He has 3 Mystery books how many books does Tony have in all
kolezko [41]
The answer to <span>One eighth of Tony's books are mystery books He has 3 Mystery books how many books does Tony have in all is 24

</span>
5 0
3 years ago
Read 2 more answers
Find the length of base PQ in the trapezoid.
iris [78.8K]

Answer:

PQ = 20

Step-by-step explanation:

Theorem:  The length of the median of a trapezoid is the average of the base lengths.

\frac{PQ + 12}{2}  = 16

PQ + 12 = 32

PQ = 20

See how easy that is if you know the theorem!

5 0
3 years ago
Help find the value of x pls
boyakko [2]

Answer:

x=2°

Step-by-step explanation:

The given angles are corresponding angles.

Corresponding angles are congruent.

7x+3=8x+1

2=x

x=2

8 0
2 years ago
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