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4 years ago

Write 4/5 with denominator 15

Mathematics

2 answers:

emmasim [6.3K]4 years ago

6 0

Answer:

12 / 15

Step-by-step explanation:

4/5 = x /15

15 / 5 = 3

So multiply both numerator and denominator by 3

4/5 * 3/3 = 12 / 15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

maw [93]4 years ago

6 0

<h3>Answer: 12/15</h3>

To get this fraction, we multiply top and bottom by 3

4*3 = 12

5*3 = 15

We get the value 3 through trial and error, or you can note how 15/5 = 3.

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Express the fifth roots of unity in standard form a + bi. with 1 + 0i

marishachu [46]

Answer:

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

Step-by-step explanation:

Fifth Root is given by:

$\sqrt[5]{z}=1+0i$

The above equation will become:

$z=(1+0i)^5$

It can be written as:

$z=[cos(0)+isin(0)]^5$

|z|=1,

According to De-moivre's Theorem:

$z=cos(\frac{0}{5})+isin(\frac{0}{5})\\ z=cos(0)+isin(0)$

Now, Fifth Roots of unity in standard form a + bi :

$\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}$

k=0,1,2,3,4

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

6 0

3 years ago

Plzzz help meeeeeeee

velikii [3]

The correct answer is x = 2.

5 0

4 years ago

3. Use the given information about the polynomial graph to write out the equation.

scZoUnD [109]

Answer:

$f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)$

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

$f(x)=a(x-3)^2(x+2)^2(x-4)$

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

$12=a(0-3)^2(0+2)^2(0-4)$

Evaluate:

$12=a(9)(4)(-4)$

Evaluate:

$-144a=12$

Divide both sides by -144:

$a=-1/12$

Hence, our entire polynomial is:

$f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)$

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3 years ago

Factor:<br>4h^2 – 12h + 9 = 0

k0ka [10]

Answer:

h=3/2

Step-by-step explanation:

Factor and set each factor equal to zero.

h=3/2

4 0

4 years ago

Help please!!!!!!!!!

Anit [1.1K]

There is about 25 fish in the tank just multiply

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2 years ago

Write 4/5 with denominator 15￼￼

Write 4/5 with denominator 15