Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).

Answers

Answer 1

The factored form is (y^2+9)(y^2-9).

Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9

From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)

Hope this helps!

Related Questions

Write a two-column proof given 2x + 6 96 prove: x = 46

Answers

you plug in the variable

Number 8. Solve the equation for variable d. Correct answer will get brainliest.

Answers

Answer is choice B) d = (3c-1)/2

The first step is to multiply both sides by 3
c = (2d+1)/3
3c = 3*(2d+1)/3
3c = 2d+1

Then you subtract 1 from both sides to get
3c-1 = 2d+1-1
3c-1 = 2d
2d = 3c-1

Finally divide both sides by 2 to fully isolate d
2d = 3c-1
2d/2 = (3c-1)/2
d = (3c-1)/2
which is what choice B is showing

The are of a rectangle is 117 square centimeters. The width of the rectangle is 9 centimeters. What is the length of the rectangle?

Answers

The answer is 13cm. (117/9)

Lenght= 13 centimeters

Which graph represents the solution to the inequality?

Answers

3 - 2x > = -17
-2x > = -17 - 3
-2x > = - 20...change the inequality sign when dividing by a negative
x < = -20/-2
x < = 10.........graph D

Marty is helping make floral centerpieces for the sports banquet. The guidelines tell him how many of each flower to use in one centerpiece. If he follows the guidelines, which statement is true?

-2 lilies
-1 rose
-3 carnations
-2 daffodils
-1 iris

Answers

For 12 centerpieces, he will need 36 carnations. :)

What is the remainder when 14,952 is divided by 41

Answers

the answer for this question would be 28

Answer:

the answer is 28 A

Step-by-step explanation:

Solve for p: 3p-2(p-4) =7p+6
Plz help asap
Thanks

Answers

first we will get rid of the brackets:
3p-2p+8=7p+6
then we will separate the variable and solve for it:
3p-2p-7p=6-8
-6p = -2
6p = 2
p = 2/6 = 1/3

Evaluate 3|-3|. -6 6 9 -9

Answers

3|-3| = 3 * 3 = 9

answer is
9

Hello! For this question, we have to multiply both numbers. Due to the lines for -3, we’re actually going to use the absolute value (positive number; units away from zero) to multiply, which is 3. This is basic multiplication. 3 * 3 is 9. The answer is C: 9.

how to describe and compare a box plot.

Answers

hoping the images i attached below help!!

Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006, approximately what was the total employment in 2006? a. 214,000 b. 188,000 c. 195,000 d. 189,000

Answers

First make the original multiplier:
1+(6.3/100) = 1.063

Then divide the final number by the original multiplier:
201,000 / 1.063 = 189087

So the answer is d

Hope this helps! :)

Answer:

189,000

Step-by-step explanation:

Analyze the statements below and complete the instructions that follow. p: A point has a y-coordinate of zero. q: A point lies on the x-axis. Determine the truth values of the statements

Answers

y=0 and x=x and is there any answer they give u to help like a b c d

12 25 10 38 12 19 8 12 17 41 7 22 10 19 12 16 5 14 find the mean, median, and mode of these weights

Answers

well first put them in order then search up how to find mean median and mode(put numbers here) and do it separately with mean median and mode, you are sure to find your answer!

A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find:

Answers

The bicyclist starts at the camp and travels 12 km/h. So in t hours, the bicyclist travels 12t km. The remaining distance (from the bicyclist to the station) is 60 - 12t, the whole distance, 60 km minus the distance the bicyclist has traveled.

[tex]s=60-12t [/tex]

Now you can answer questions such as "how far was the bicyclist from the station after 3 hours?" Substitute 3 for t. s = 60 - 12(3) = 60 - 36 = 24 km.

Answer:

s=18

Step-by-step explanation:

First of all, the formula is s=60-12t. thanks to the person who answered this question first (teehee)

S=distance and t=duration.

We also know that the distance is 60 km, the bicyclists's speed is 12 km/h, and the duration for this example is 3.5 hours.

So, using the formula, we substitute all the variables and s=18.

Thanks!

Also, for how the formula is what it is, look at the previous answer cuz yea.

Maybe this helped?

hehe- EG

Twice a number is 24 less than 4 times the number find the number

Answers

Let n be a number

2n + 24 = 4n
24 = 4n - 2n
24 = 2n
n = 24/2
n = 12

Final answer:

The question asks for a number which when multiplied by 2 gives a result that is 24 less than the result of the number when multiplied by 4. The solution to this problem is the number 12.

Explanation:

The student's question asks about algebraic expression and solving for a value. This could be written as an equation:

2x = 4x - 24

First, let's simplify this equation by subtracting 2x from both sides, this gives you:

2x = 24

Then, solve the equation by dividing both sides by 2, and we find that the number is:

x = 12

So, the number that the student is searching for is 12. Twice this number is 24, which is indeed 24 less than 4 times the number (48).

Learn more about Solving equations here:

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thalia is packing a moving box she has a square frame poster with an area of 9 square feet the cube shaped box has a volume of 30 cubic feet will the poster lie flat in the box

Answers

The square frame poster has an area of 9 square feet. Therefore each side is 3 feet long. For the poster to lie flat, the cube shaped box must be at least 3 feet long and 3 feet wide. If this were the case, then the cube shaped box would have a volume of 3 x 3 x 3 = 27 cubic feet. Since the volume of the box is more than 27 cubic feet, the box is large enough for the poster to lie flat.

What type of math is adding subtracting of positive and negative numbers

Answers

Hello There!

It is Arithmetic.

Hope This Helps You!
Good Luck :)

Final answer:

Adding and subtracting positive and negative numbers falls under the subject of arithmetic in mathematics. The rules for addition and subtraction of integers depend on the signs of the numbers being operated on.

Explanation:

In mathematics, adding and subtracting positive and negative numbers falls under the subject of arithmetic. This concept is also known as integer addition and subtraction.

When you add two positive numbers, the answer is positive. When you add two negative numbers, the answer is negative. When you add numbers with different signs, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value.

Similarly, when you subtract a positive number from another positive number, or a negative number from another negative number, you follow the same rules. However, when you subtract a negative number from a positive number, you can think of it as adding a positive number, resulting in a larger positive number.

Salma drove 605 miles in 11 hours at the same rate how long would it take her to drive 385

Answers

Distance = 605 miles
Time = 11 hours
Velocity = distance/time
Velocity = 605miles/11 hours
Velocity = 55mph

385miles/55miles/hour= 7hours.

Or

605 = 11
385 = x

Solving for x =(385/605)*11
X= 7 hours

divide 605 by 11 to find her speed

605/11 = 55 ( she drove 55 miles per hour )

now divide 385 by 55 to find time

385/55 = 7 hours

please help !!!!!!!!!

Answers

Percent decrease= change/original amount

Change=600-576=24

24/600=0.04= 4%

Final answer: 4%

what is the simplified form of 3abc/abc, when abc does not equal 0? explain using the properties of real numbers

Answers

hello :
3abc/abc = 3 .....when abc does not equal 0
the properties is : (ac/bc = a/b ... c ≠ 0 )

what are the roots to this quadratic equation?

Answers

16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4

Answer:

[tex]\frac34[/tex] and [tex]-\frac34[/tex]

Step-by-step explanation:

Hello!

We have to solve for x to find the roots of the quadratic.

Solve for x[tex]16x^2 = 9[/tex][tex]x^2 = \frac{9}{16}[/tex][tex]\sqrt{x^2} = \sqrt{\frac{9}{16}}[/tex][tex]x = \pm\frac{\sqrt9}{\sqrt{16}}[/tex][tex]x = \pm\frac34[/tex]

The roots of the quadratic are [tex]\frac34[/tex] and [tex]-\frac34[/tex].

The roots of the quadratic is when the value of y is 0, or when the graph intersects the x-axis.

An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and another rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?

Answers

check the picture below.

so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus

[tex]\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6[/tex]

Answer:

24 inches

Step-by-step explanation:

We are given that an artist creating a sculpture using bendable metal rods of equal length.

One rod is in square shape and second rod is in equilateral triangle shape.

We have to find the length of each rod

Let side of square= x inches

Length of each side of equilateral triangle =x+2 inches

We know that perimeter of square=[tex]4\times side[/tex]

Perimeter of equilateral triangle=[tex]3\times side[/tex]

Using the above formula

Then , Length of square shaped rod=perimeter of square =[tex]4x[/tex]

Perimeter of equilateral triangle =Length of equilateral shaped rod=[tex]3(x+2)[/tex]

Length of square shaped rod=Length of equilateral triangle shaped rod

[tex]4x=3(x+2)[/tex]

[tex]4x=3x+6[/tex]

[tex]4x-3x=6[/tex]

[tex]x=6[/tex]

Length of each side of square =6 inches

Length of square shaped rod=[tex]4\times 6=24 inches[/tex]

Length of each side of equilateral side=6+2=8 inches

Length of equilateral shaped rod=[tex]8\times 3=24 inches[/tex]

Determine the value of y in the equation: -5y-9=-(y-1) (show all work)

Answers

Final answer:

The value of y in the equation is -2.5.

Explanation:

To determine the value of y in the equation -5y-9=-(y-1), we can start by distributing the negative sign to both terms within the parentheses. This gives us -5y-9=-y+1. Next, we can combine like terms by adding y to both sides of the equation. This simplifies the equation to -4y-9=1. To isolate y, we can subtract 9 from both sides of the equation, resulting in -4y=10. Finally, we divide both sides of the equation by -4 to find the value of y, which is -2.5.

what is
7x-4=-2x+1+9x-5

Answers

I assume you want to find x

remember, you can do anything to an equation as long as you do it to both sides

7x-4=-2x+1+9x-5
group like terms
7x-4=-2x+9x+1-5
add like terms
7x-4=7x-4
add 4 to both sides
7x=7x
divide both sides by 7
x=x
true

x=all real numbers

since it sipmlifies to x=x (it could somiplify to 0=0 as well), it is an identity and all real numbers work for x

The equation 7x-4=-2x+1+9x-5 has infinitely many solutions

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 7x-4=-2x+1+9x-5

We have to take the variable terms on one side and constant on other side

In the given equation x is the variable and plus comma minus are all operators.

We need to solve for x.

7x+2x-9x=1-5+4

9x-9x=0

0=0

So the equation has infinitely many solutions

Hence, the equation 7x-4=-2x+1+9x-5 has infinitely many solutions

To learn more on Equation:

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A student writes the difference between 15 and the product of 5 and y to describe the expression 5y - 15. Explain the error

Answers

It is established that the statement 'product of 5 and y' is written as 5y. However, unlike addition and multiplication, there is no commutative property for subtraction. In other words, the order of numbers matter. Since 15 was mentioned first in the statement, the correct equation that should be formulated is: 15 - 5y.

Can anyone solve this problem???

One person can complete a typing project in 6 hours, and another can complete the same project in 8 hours. How long will it take the two people working together to complete the project???

Answers

1/8x+1/6x = 1
3/24x + 4/24x = 1
7/24x = 1
x = 24/7 hours

Time taken to complete the project if two people worked together is required.

It would taken around 3.4 hours to complete the project if both the people worked together

Time taken to complete the work by first person is 6 hours

Time taken to complete the work by second person is 8 hours

The work equation will be be

[tex]\dfrac{1}{6}+\dfrac{1}{8}=\dfrac{1}{x}\\\Rightarrow \dfrac{4+3}{24}=\dfrac{1}{x}\\\Rightarrow x=\dfrac{24}{7}\approx 3.4\ \text{hours}[/tex]

So, it would taken around 3.4 hours to complete the project if both the people worked together.

Learn more:

https://brainly.com/question/13811687

https://brainly.com/question/17464714

The height of a triangle is 3cm less than the length of its base and is area is 27m,find the height

Answers

Area of a triangle=bh/2

27= x(x-3)/2
27= (x^2-3x)/2
54= x^2-3x
x^2-3x-54=0
(x-9)(x+6)=0

x=9, x=-6.
In this case, x must equal 9 since the base cannot be a negative number.

Final answer: Height=6 m

The perimeter of a triangle is 465 cm. The length of the sides are consecutive integers. Find the length of the smallest side.

Answers

x+x+2+x+4=186
x=180/3
x=60 cm. for the shortest side.
60+2=62 cm. for the middle side.
60+4=64 cm. for the longest side.

side A= 156cm
side B= 155cm
side C= 154cm

if p - 4 = 2, find the value of 5p - 20

Answers

P=6 because you add 4 to both sides so then you do 5 x 6 which is 30 and then you subtract 20 so you get 10

First, get rid of the 4. it is gonna look like this
p-4=2
+4 +4
then p=6

5p-20
5(6)-20
30-20
the answer is 10

Eliana's calculator displays a number as 5.378 E9.

What is this number in standard form?

Enter your answer in the box.

Answers

Hello!

Most calculators are configured so that when the number is too big, it automatically shows it on scientific notation. The E represents exponent. The calculator is trying to say [tex]5.378 * 10^9[/tex]. It means we should move the decimal point 9 spaces to the right.

The number in standard form would be: 5,378,000,000

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

Answer:

5,378,000,000

Step-by-step explanation:

5.378E9

5.378 x 10^(9)

5,378,000,000

d•r=r•d what’s the property

Answers

That is the Commutative Property of Multiplication.

commutative property of multiplication is your answer

hope this helps

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