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3 years ago

The Pythagoreans changed mathematics from a science into a set of problem-solving techniques. True or false

Mathematics

1 answer:

Studentka2010 [4]3 years ago

8 0

The correct answer is true

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write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i

inessss [21]

Answer:

$f(x)=3x^3+x^2+3x+1$

Step-by-step explanation:

If a real number $-\frac{1}{3}$ is a zero of polynomial function, then

$x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}$

is the factor of this function.

If a complex number $-i$ is a xero of the polynomial function, then the complex number $i$ is also a zero of this function and

$x-(-i)=x+i\ \text{ and }\ x-i$

are two factors of this function.

So, the function of least degree is

$f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)$

If the polynomial function must be with integer coefficients, then it has a form

$f(x)=3x^3+x^2+3x+1$

4 0

3 years ago

What shape is the base of a pentagonal pyramid ?

Likurg_2 [28]

Answer:

Step-by-step explanation:

The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

7 0

3 years ago

Look at the pictures pleaseeeeee

Alex

Answer:

Step-by-step explanation:

There is missing information in the task: HD║FG !!!!!

∠HDE ≅ ∠FGE and ∠EHD ≅ ∠EFG

<u><em>ΔEHG ~ ΔEFG</em></u> (AAA theorem of similarity)

m∠F = 22°

m∠G = 89°

3 0

3 years ago

Helppppppppppppppp pleaseeeeee!

stepan [7]

Answer and Explanation:

You got the first one right!

2. You do the same as you did for the first one: to combine the exponents, you multiple 2 by 9 = 18, and now 18 is your new exponent.

$3^{2*9} = 3^{18}$ , which is the answer

3. Here, you can split up the inside so that you have:

$2^5*(y^2)^5= 32*y^{2*5}=32y^{10}$ , which is the answer

Hope this helps! Please give me brainliest if possible.

3 0

3 years ago

Read 2 more answers

What is 7-2x when x= -3

Annette [7]

Step-by-step explanation:

When x=-3

7-2(-3)=7-(-6)

=7+6

=13

5 0

3 years ago