Factor (x^2+y^2-z^2)^2-4x^2y^2 as the product of four polynomials of degree 1, each of which has a positive coefficient of x.

Answers

Answer 1

Is the ratio 5:6 equivalent to 3:4

Answer 2

We can write the given expression as -

(x² + y²)(x² + y²- 2z²) + z² - 4x²y²

What is factorization?

Factors of a number are numbers that divide evenly into another number. Factorization writes a number as the product of smaller numbers

Given is the expression -

{(x² + y²) - z²}² - 4x²y²

(x² + y²)² + z² - 2(x² + y²)z² - 4x²y²

(x² + y²) {(x² + y²) - 2z²} + z² - 4x²y²

(x² + y²)(x² + y²- 2z²) + z² - 4x²y²

Therefore, we can write the given expression as -

(x² + y²)(x² + y²- 2z²) + z² - 4x²y²

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Related Questions

Rewrite in mathematical language. Every negative integer J is less than or equal to its inverse.

Answers

Answer:

[tex]-J \leq J[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Represent as an inequality of its inverse

The question didn't state if it's additive inverse or multiplicative inverse;

Since the question has to do with negation, I'll assume it's an additive inverse

The inverse of -J is +J

To represent as an inequality (less than or equal), we have:

[tex]-J \leq +J[/tex]

Solving further, it gives

[tex]-J \leq J[/tex]

Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km away from the distress call. They also notice that the angle between the line from ship B to ship A and the line from ship A to the distress call is 28°. What are the two possible distances, to the nearest TENTH of a km, from ship A to the boat?

Answers

Answer:

The two possible distances from Ship A to the distress call boat are 64.4 km and 147.5 km

Step-by-step explanation:

The given parameters are;

The distance between Ship A and Ship B = 120 km

The distance of the distress call from Ship B = 70 km

The angle made between the line from Ship A to B and the line from Ship A to the distress call = 28° = Opposite angle to the line from the location of the distress caller to Ship B

Therefore;

70/(sin(28°)) = 120/(sin(x))

Where;

x = The angle opposite the line from Ship A to B

sin(x) = ((sin(28°))×120)/70 = 0.805

x = sin⁻¹(0.805) = 53.59°

Therefore, the angle opposite the line from Ship A to the distress caller, r = 180 - (28 + 53.59) = 98.4°

From sin rule, we have;

70/(sin(28°)) = r/(sin(98.4°))

r = (70/(sin(28°)))×(sin(98.4°)) = 147.5

However by cosine rule, we have;

70² = 120² + r² - 2×120×r × cos(28°)

4,900 = 14,400 + r² - 211.907·r

r² - 211.907·r + 14,400 - 4,900 = 0

r² - 211.907·r + 9,500 = 0

Factorizing, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]r = \dfrac{211.907\pm \sqrt{211.907^{2}-4\times 1\times 9,500}}{2\times 1}[/tex]

r = 64.406 km or 147.501 km

Which gives;

The distance of the line from Ship A to the distress caller =  64.4 km or 147.5 km to the nearest tenth.

The two possible distances from Ship A to the distress call boat = 64.4 km and 147.5 km

There are 75 people in a room. Of these people, 2/5 are from Germany. If 4/9 of the people who are not from Germany are from France, how many of the people in the room are from neither Germany nor France

Answers

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

or

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

What is the solution to the following equation? (1 point)

3(7x − 12) + 26 = 3x − 10

Answers

Answer:

x = 0

Step-by-step explanation:

3(7x − 12) + 26 = 3x − 10

Distribute

21x - 36 +26 = 3x-10

21x -10 = 3x-10

Add 10 to each side

21x = 3x

Subtract 3x from each side

21x-3x = 0

18x =0

x =0


x = 0

Porque:

3(7x - 12) + 26 = 3x - 10

21x - 36 + 26 = 3x - 10

21x - 3x = - 10 + 36 - 26

18x = 0

x = 0/18

x = 0 ✔️

What is the Decimal Represention of 9/11​

Answers

Answer: the answer is A 0.81

If g(x) = a f(x + b), how is f(x) transformed to get g(x)?
02/(x + 4)
02/(x-4)
O f(x + 4)
Of(x-4)

Answers

Answer:

There was a Horizontal translation left b units and then Vertical stretch or compression

Step-by-step explanation:

Given : [tex]g(x) = a f(x + b)[/tex]

We are supposed to show the transformation

Rule : f(x)→f(x+c)

Horizontal translation left c units

So, f(x+b) is the Horizontal translation left b units

Rule : f(x)→cf(x)

Vertical stretch or compression

So,[tex]g(x) = a f(x + b)[/tex]

So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression

Answer:

-2f(x+4), A

Step-by-step explanation:

Vertically stretch the function by 2, flip it over the x-axis and add 4 to shift right

(The explaination might be BS but the answer is 100% correct, took the quiz)

Part B: Plot point C(2,7). If M is the midpoint of CD, what are the
coordinates of D?

Answers

C(2,7) m is the midpoint

9-2x=7x
How do I solve for x?

Answers

Answer:

The answer to the equation is 1.

Step-by-step explanation:

When having an algebraic equation, you have to move all of the variables on one side. Therefore, you can move the -2x or the 7x. However, to make a positive number, I would recommend to move the -2x.

To move the -2x to the other side, you add 2x to the both sides of the equation. Since the original equation is 9-2x=7x, you will add the 2x to it, so your equation will now look like this: 9-2x+2x=7x+2x. Once simplifying that down, you will have 9=9x. Then, you can divide the coefficient, so the 9 on the left side, and the 9 on the right side. After this, you will have 1=x. AKA x=1, which is the answer to the equation!

The solution to the equation 9 - 2x = 7x is x = 1 as per the algebraic operations.

To solve the equation 9 - 2x = 7x for x, we need to isolate the variable on one side of the equation. Here's the step-by-step process:

Start by combining like terms. Add 2x to both sides of the equation to move the variable terms to one side:

9 - 2x + 2x = 7x + 2x

9 = 9x

Divide both sides of the equation by 9 to isolate x:

9/9 = 9x/9

1 = x

Therefore, the solution to the equation 9 - 2x = 7x is x = 1.

By performing the necessary algebraic operations, we found that x is equal to 1. This value satisfies the original equation, making it the solution. It's important to check the solution by substituting x = 1 back into the original equation to ensure that it holds true. In this case, when we substitute x = 1 into the equation, we have 9 - 2(1) = 7(1), which simplifies to 7 = 7, confirming that x = 1 is indeed the correct solution.

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What is the value of vba? be sure to give the correct algebraic sign?

Answers

Answer:

V = Vab from the drawing.

So if V = –10 volts, then Vab = –10v and Vba = +10v

"the figure is the same in the link below except that the voltage is from a to b" but the drawing shows that V = Vab

Hoped I helped

Find the asymptotes of the hyperbola described by the equation: y2/9 - x^2/81=1. ANSWERS ATTACHED, due in 2 HOURS, will give Brainliest!

Answers

Answer:

Solution : y = ± 1/3x

Step-by-step explanation:

Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.

To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)

a² = 9

a = 3

b² = 81

b = 9

Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.

He first term in the sequence is 1, and each other term is 5 more than three times the previous term. 1, , , , Blank 1: Blank 2: Blank 3: Blank 4:

Answers

Answer:

The complete sequence is: 1, 8, 29, 92, 281.

Step-by-step explanation:

The series to be completed is:

1, _, _, _, _

The information provided is:

The first term in the sequence is 1.Each other term is 5 more than three times the previous term.

Then the nth term can be determined using the expression:

[tex]a_{n}=3a_{n-1}+5[/tex]

Compute the 2nd, 3rd, 4th and 5th term as follows:

[tex]a_{2}=3a_{2-1}+5 = 3a_{1}+5=(3\times 1)+5=8\\\\a_{3}=3a_{3-1}+5 = 3a_{2}+5=(3\times 8)+5=29\\\\a_{4}=3a_{4-1}+5 = 3a_{3}+5=(3\times 29)+5=92\\\\a_{5}=3a_{5-1}+5 = 3a_{4}+5=(3\times 92)+5=281[/tex]

Thus, the complete sequence is:

1, 8, 29, 92, 281.

Calculate the slope of the line that passes through the following points:
(-4,-7) and (1, -7)
Apply the following formula:
Tise
m =
(y2-91)
(22-21)
TUT
0
O Undefined

Answers

Answer:

0

Step-by-step explanation:

Slope is -7--7/1--4

=0/5

=0

Slope of the line passing through (-4,-7) and (1, -7) is equals to 0.

What is slope?

"Slope of a line is defined as the ratio of change in y-coordinates to the change in x-coordinates."

Formula used

Slope = ( y₂ - y₁) / (x₂ - x₁)

According to the question,

Line passing through two points (-4, -7) and ( 1, -7)

x₁ and x₂ are x- coordinates on the line.

y₁ and y₂ are the y-coordinates on the line.

Here,

( x₁ , y₁ ) = ( -4, -7)

(x₂ , y₂) = ( 1 , -7)

Substitute the given value in the formula we get,

Slope = [ -7 -(-7)] / [ 1 - (-4)]

         = (-7 +7) / ( 1 +4)

         = 0 / 5

         = 0  

Hence, slope of the line passing through (-4,-7) and (1, -7) is equals to 0.

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A ratio compares the relative sizes of ______ quantities .​

Answers

Answer:

two

Step-by-step explanation:

A ratio compares the relative sizes of two quantities .​

Answer:2

Step-by-step explanation:

The quadratic function g(x) has a vertex at
(-5, 0) and y-intercept of (0, -5). What is g(1)?

Answers

Answer: -7.2

Step-by-step explanation:

The vertex form of quadratic equation :[tex]f (x) = m(x - a)^2 + b,[/tex] where (a,b) is the vertex.

Given: The quadratic function g(x) has a vertex at  (-5, 0).

Put (a,b)= (-5,0) for function g(x), we get

[tex]g(x)=m(x-(-5))^2+0\\\\\Rightarrow\ g(x)=m(x+5)^2[/tex]

Also, its  y-intercept is (0, -5).

Put x= 0 and g(x) =-5

[tex]-5=m(0+5)^2\\\\\Rightarrow\ -5=m(25)\\\\\Rightarrow\ m=\dfrac{-5}{25}\\\\\Rightarrow\ m=\dfrac{-1}{5}[/tex]

so, [tex]g(x)=-\dfrac{1}{5}(x+5)^2[/tex]

For g(1), put x=1

[tex]g(1)=-\dfrac{1}{5}(1+5)^2\\\\=-\dfrac{1}{5}(6)^2=-\dfrac{1}{5}(36)\\\\=-7.2[/tex]

Hence, g(1) is -7.2.

IF Tunde, who has n eggs, has three
more than Sola, how many eggs has
Sola?​

Answers

Answer:

Sola has n-3 eggs

Step-by-step explanation:

Tunde = n

Tunde has 3 more = Sola has 3 less than tunde

= Tunde - 3

= n - 3

If A = 3x power 2+2y + 2 and B=6x power 2 - 8y + 1 then A+B and A-B​

Answers

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

-------------------------------

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

what is (15-2)×3×2 ​

Answers

Answer:

15−2(3−2x)=46

Step-by-step explanation:

15−2(3−2x)=46

PEMDAS
parentheses exponents multiple divide add subtract
(15-2)x3x2
(12)x3x2
(36)x2=72

What is the value of x in equation 6x + 2= 9x - 1?

Answers

Answer =1


6x+2=9x-1
-3x=-3
X=1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6x+2=9x-1[/tex]

Subtract 6x from both sides:

[tex](6x+2)-6x=(9x-1)-6x\\2=3x-1[/tex]

Add 1 to both sides:

[tex](2)+1=(3x-1)+1\\3=3x[/tex]

Divide both sides by 3:

[tex](3)/3=(3x)/3\\x=1[/tex]

So, the value of x is 1 :)

P.S. Welcome to Brainly!

3/4 - 1/2n =5/8. solve for n

Answers

-22/8, simplified would be -11/4

The solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4 as per the rule of fraction's operations.

To solve the equation (3/4) - (1/2)n = 5/8 for n, we can follow these steps:

Start by subtracting 3/4 from both sides of the equation:

(3/4) - (1/2)n - 3/4 = 5/8 - 3/4

Simplifying, we have:

(1/2)n = 5/8 - 6/8

Combine the fractions on the right-hand side:

(1/2)n = -1/8

To eliminate the fraction coefficient, multiply both sides by -2:

(-2)(-1/2)n = (-2)(-1/8)

This gives us:

n = 2/8

Simplify the right-hand side:

n = 1/4

Therefore, the solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4.

It's important to note that when solving equations involving fractions, it's crucial to perform the same operation on both sides of the equation to maintain the equality. By isolating the variable n on one side, we were able to find its value.

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Add 113+(−56) using the number line.

Answers

Answer:

Step-by-step explanation:

Start at 1 1/3

Add the negative number.

1 1/3 + (-5/6)

Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Move 2/3 to the left.

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left.

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

So, put the point at 3/6 or 1/2.

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Start at 1 1/3

Add the negative number;

1 1/3 + (-5/6)

Here Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Now Move 2/3 to the left;

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left;

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

Thus 1 1/3+(−5/6) = 3/6 = 1/2

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

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I need help step by step Combining like terms 6 + x + 4=

Answers

The like terms are 6 and 4:

6 + x + 4
= x + 10

I have no idea how to do any of these so please explain I'm already struggling and school just started

1.
[tex]5g + h = g[/tex]
solve for g
2.
[tex]y = mx + b[/tex]
solve for m

3.
[tex]3y + z = am - 4y[/tex]
solve for y

4.
[tex]km + 5x = 6y[/tex]
solve for m

5.
[tex] \frac{3ax - n}{5} = - 4[/tex]
solve for x

6.
[tex] \frac{by + 2}{3} = c[/tex]
solve for y

7.
[tex]at + b = ar - c[/tex]
solve for a

Answers

Answer:

See below!

Step-by-step explanation:

1. 5g + h = g

4g = -h

g = [tex]-\frac{h}{4}[/tex]

2. y = mx + b

y - b = mx

m = [tex]\frac{y - b}{x}[/tex]

3. 3y + z = am - 4y

7y = am - z

y = [tex]\frac{am - z}{7}[/tex]

4. km + 5x = 6y

km = 6y - 5x

m = [tex]\frac{6y - 5x}{k}[/tex]

5. [tex]\frac{3ax - n}{5} = -4[/tex]

3ax - n = -20

3ax = n - 20

x = [tex]\frac{n-20}{3a}[/tex]

6. [tex]\frac{by+2}{3}= c[/tex]

by + 2 = 3c

by = 3c - 2

y = [tex]\frac{3c-2}{b}[/tex]

7. at + b = ar - c

at - ar = -b - c

a(t - r) = -(b + c)

a = [tex]-\frac{b+c}{t-r}[/tex]


A high temperature of 128°F was recorded in a desert. Use the formula F = C + 32
to convert this temperature to degrees Celsius.

Answers

128°F in Celsius is 53.3°C

Answer:

F=C+32.

128=C+32.

C=128-32.

96°C

step linear equation
-2a+6=18​

Answers

Answer: a = -6

Step-by-step explanation:

What is the probability of getting dealt a hand equal to 21?

Answers

Answer:

The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.

The parent function, Rx) = 5*, has been vertically compressed by a factor of one-half, shifted to the left three units and
down two units. Choose the correct function to represent the transformation.

Answers

Answer:

  see below

Step-by-step explanation:

For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...

  g(x) = b·f(x -h) +k

For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...

  g(x) = (1/2)f(x +3) -2

  g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice

Roisin is a price analyst for a food distributor. One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases, and 587 cases. What was the average
number of cases per bid?
The average number of cases per bid is

Answers

Answer: The average number of cases per bid is 599.

Step-by-step explanation:

Given: One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases, and 587 cases.

Total cases = 680 +  507 + 830 + 391+587

= 2995

Number of bids = 5

Now, average number of cases per bid = [tex]\dfrac{\text{Total cases }}{\text{Number of bids}}[/tex]

[tex]=\dfrac{2995}{5}\\\\=599[/tex]

Hence, the average number of cases per bid is 599.

Dylan can paint a wall in 4 hours, while Brett can paint the same wall in 3 hours. If Dylan paints the wall for 2 hours, how much time will it take for Brett to finish painting the wall

Answers

Answer:

n 1 hour Dylan can paint 1/4 of the wall, and Brett can paint 1/3 of the wall.

Therefore together they can paint 1/4+1/3 = 7/12 of wall

Therefore they can paint entire wall in 12/7 hours

Step-by-step explanation:

you ' re welcome grandma loves youu ! < 33 ; )

mark meee branliest pleaseeee ; )

5u+5(1-u)=u+8
I need help finding the answer

Answers

I hope this helps you

5u+5-5u=u+8

5-8=u

u=-3

There are 5 pencils and 8 pens. What is the ratio of pens to pencils?

Answers

Answer:

8/5

Step-by-step explanation:

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