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3 years ago

Factor the following polynomial completely. -x^2y^2 + x4 + 4y^2 - 4x^2

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

-x^2y^2 + x4 + 4y^2 - 4x^2

= x^2(x^2 - y^2) -4(x^2 - y^2)

= (x^2 - y^2) (x^2 - 4)

=(x + y)(x -y)(x + 2)(x - 2)

answer

3.) (x + 2)(x - 2)(x + y)(x - y)

= (y^2 - x^2) (

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5y-10 what would be y

alexandr402 [8]

If 5y-10=0 it would equal 2. Add ten to both sides and then divide 5 to both sides which leaves you with y=2

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3 years ago

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Andy and Elizabeth each rounded 2,639,456 to the nearest ten-thousand. Andy got 2,640,000. Elizabeth got 2,630,000. who is corre

Gelneren [198K]

Andy was correct
2639456 is rounded to 2640000 because the 9 from 39,456 rounds up to 0 and the three changes to a 4
Elizabeth rounded down instead

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3 years ago

Construct the triangle ABC using as coordinates of its vertices points A(−3, 0), B(4, 5),

Mekhanik [1.2K]

The answer would be (0,2) because as shown in the graph ab crosses the y-axis at (0,2)

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3 years ago

Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.

natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is $y=x-x^2-2$ and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

$y'=1-2x$

It can be written as

$\frac{dy}{dx}=1-2x$

Use variable separable method to solve this differential equation.

$dy=(1-2x)dx$

Integrate both the sides.

$\int dy=\int (1-2x)dx$

$y=x-2(\frac{x^2}{2})+C$ $[\because \int x^n=\frac{x^{n+1}}{n+1}]$

$y=x-x^2+C$ ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

$-2=1-(1)^2+C$

$-2=1-1+C$

$-2=C$

The value of C is -2. Substitute C=-2 in equation (1).

$y=x-x^2-2$

Therefore the solution of the given initial value problems in explicit form is $y=x-x^2-2$ .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0

3 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

3 years ago