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3 years ago

Factor completely 2x^3y^4-8x^2y^3+6xy^2

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

2 x y^2 (x y - 1) (x y - 3)

Step-by-step explanation:

2x^3y^4-8x^2y^3+6xy^2

each term contains 2xy^2 so factor that out

2xy^2(x^2y^2 -4xy+3)

then lets factor the inside

what terms multiply together to give us +3 and add to -4

-3* -1 = 3 -3+-1 =-4

2 x y^2 (x y - 1) (x y - 3)

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Isosceles triangle, perimeter if the perimeter of isosceles triangle abc is 20 and the length of side ac is 8, what is one possi

Hoochie [10]

The perimeter = 20 and AC = 8

Now as it is not mentioned which sides are equal of the isosceles triangle ABC,

We have two possible situations.

If AC is the base

In that case AB = BC

Now AC = 8, AB = x , BC = x

So x + x + 8 = 20

2x + 8 = 20

2x = 12

x = 6

AB = BC = 6

IF AC is not the base,

Then

AC = BC or AC = AB

So BC = 8 or AB = 8

If AB = AC = 8

Then

BC + 8 + 8 = 20

BC = 4

So there are two possible lengths of BC

Either it is BC = 8 or BC = 6 or BC = 4

The figure is attached for your reference.

5 0

3 years ago

Read 2 more answers

4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

nikitadnepr [17]

Answer:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=1$

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0$

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}$

Step-by-step explanation:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))$

$=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})$

$=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1$

2nd

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}$

$=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0$

3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

6 0

3 years ago

Order 56656, 67445, 9199

gayaneshka [121]

Answer: Least to greatest: 9199, 56656, 67445

Greatest to least: 67445, 56656, 9199

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The table below shows the amount of money needed to buy certain amounts of fabric.

Karo-lina-s [1.5K]

Answer:

Do you have the a picture of the table

8 0

3 years ago

Jamie put 2 3/12pounds of green apples

yawa3891 [41]

Answer:

5 3/4

Step-by-step explanation:

So, lets add the whole numbers together and the fractions together.

2+3=5

3/12+5/12=8/12

8/12 can be simplified to 3/4

so 5 3/4

(Please give brainliest if this helped you, I'm trying to get an achievement)

5 0

3 years ago