How to factor a polynomial with a degree of 4.

Answers

Answer 1

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).


Related Questions

ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.

Answers

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°

2) HL (again, one of the multiple possible HL combinations)

AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itself

There are many more but I won't write them all out.

PLEASE HELP ME OUT!

25 cm = ______ mm

15 g = ______ mg

Answers

Answer:

25cm = 250mm

15g = 1500mg

Step-by-step explanation:

cm to mm = multiply by 10

therefore 25 x 10 = 250

g to mg = multiply by 1000

therefore 15 x 1000 = 15000

levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?

Answers

The amount Levi spends on this skateboard is $148.39.

Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.

The amount Levi spends on this skateboard = value of the tax + cost of the skateboard

value of the tax = 6% x $139.99

0,06 x $139.99 = $8.40

The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39

To learn more about taxes, please check: https://brainly.com/question/19540033

solve pls brainliest

Answers

1. None, it makes a cylinder

2. C

3. B

4. A

How many times does it intersect on the graph? y=x^2+3x-2, y-x=4

Answers

it intersects twice :)

What are the coordinates of point P?



O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)

Answers

The answer will have to end up being(-4,3) that’s all I just need more words for whatever reason

Answer:

(-4, 3)

Step-by-step explanation:

You have to go -4 on the x-axis, and +3 on the y-axis

Help will give Brainlest only true answers only please dont guess

Answers

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Miss Reyes earns $3500 per month from which income tax is deducted at 30%. Calculate her net pay.

Answers

Answer: 3395 dollars

Step-by-step explanation:

First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.

Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?

Answers

Step-by-step explanation:

Given:

Lemons - l and apples - aa = 35¢, l = 15¢Number of apples and lemons = 17Cost of lemons and apples = $3.95 = 395¢

System as per question:

a + l = 1735a + 15l = 395

Or

a + l = 170.35a + 0.15l = 3.95

Step-by-step explanation:

Let the number of apples be a and lemons be l . Then ,

=> a + l = 17

Also ,

=> 35a + 15l = $ 3.95

HELPPPPP ASAP!!!! I’m on a limit

Answers

Answer:

look at the photo.........

find the slope and y intercept.​

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

2 points are marked already :

(-3, 4) (3, -4)

x changes by +6 (from -3 to 3)

y changes by -8 (from 4 to -4)

the slope is -8/+6 = -8/6 = -4/3

the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).

so, the y-intercept is 0.

What is power of 3 square root of 4 / square root of 2 in simplest radical form?

Answers

Answer:

√90=3√10

Step-by-step explanation:

10000+2000003
ghsrhrs

Answers

[tex]⇒10000 + 2000003 = 2010003[/tex]

- BRAINLIEST answerer

Answer: 2010003

Step-by-step explanation: because 10000+2000003= 2010003

Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?

Answers

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

https://brainly.com/question/503614

Find the perimeter. Simplify the answer.

Answers

Answer:

34p - 16

Step-by-step explanation:

Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10

Perimeter = 16p + 18p + 4 - 20

Perimeter = 34p - 16

-Chetan K

we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]

ok done. Thank to me :>

how many trees will be planted when 5 are cut down

Answers

about 6 because that’s what i think

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.

Question 7 options:


A)


(4, 1)


B)


(4, 5)


C)


(2, 2)


D)


(–6, 6)

Answers

Answer:

B ......................

Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.

Answers

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

expand and simplify 4(x+3)+4(x+5)

Answers

Answer : 8x + 32

Explanation: you would distribute the 4 to the x and the 3 which would get you 4x + 12 +4(x+5) then u would distribute the other 4 to the x and 5 which would then get u to 4x + 12 + 4x + 20 then u would combine like terms so 4x + 4x and 12 + 20 and that would get you to 8x + 32

Help finding surface area

Answers

Answer:

471.23 km²

Step-by-step explanation:

This is a cylinder.

Here's the formula to the the surface area of a cylinder.

[tex]Surface\:\:Area\:\:\:= 2\pi r(r+h)[/tex]

They have given the the diameter of the circle .

There fore we have to find the radius .

d = 2 r

10 = 2 r

5 km = r

Let's find the Surface area now.

[tex]2\pi r(r+h)[/tex]

[tex]2 *\pi *5(5+10)[/tex]

[tex]10\pi *15[/tex]

[tex]150 \pi[/tex]

471.23 km²

Hope this helps you.

Let me know if you have any other questions :-)

The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.

One dog’s vitamin C level was not in the normal range. It was 0.9 milligrams per liter, which is a very low level of vitamin C.

If the value 0.9 is eliminated from the data set, does the mean increase or decrease?

Your answer:
I will give you 5.0 and a thanks and maybe brainliest

Answers

Answer:  The mean increases.

Step-by-step explanation:

The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L.  It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set.  That would do 2 things:  1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.

A company has $7,200 to send its employees to a conference. The conference costs $900 for each employee who attends. How many employees can the company send to the conference?

Answers

The company can only send 8 people to the conference. 7200 dollars/900 dollars a person gives you 8 people as the dollar amounts cancel out

1/2v-12+20=14
whats the answer of v

Answers

Answer:

v=12

Step-by-step explanation:

1/2v-12+20=14

Add.

1/2v+8=14

Subtract 8 from both sides of the equation.

1/2v=6

Divide 1/2 from both sides of the equation.

v=12

Hope this helps :)

Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

I don’t understand this someone please help

Answers

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

Which inequality is a true statement?

Select each correct answer.


−4 = −5

−4 ≤ −5

−4 < −5

−4 > −5

−4 ≥ −5

Answers

Answer:

i think -4>-5

Step-by-step explanation:

because (-4)is greater than (-5)

A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced

Answers

4860 i think that is the answer

What series of transformation will not map figure H onto itself

Answers

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

....2nd transformation = reflection over y = -x + 2 will map vertices into points ....

These points are not the vertices of the initial square.

I hope it helps.

The regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in. 2 42 in. 2 48 in. 2 84 in. 2.

Answers

The approximate area of the hexagon is 48 square inches.

Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:

Area of a regular hexagon = (perimeter x apothem) / 2 (4 x 6 x 4) / 2 = X (24 x 4) / 2 = X 48 = X

Therefore, the approximate area of the hexagon is 48 square inches.

Learn more about maths in https://brainly.com/question/18500585

Other Questions
PLEASE HELPPPPPPPPPPPPPPPP Casey Company retired $500,000 face value, 9% bonds on June 30, 2021 at 96. The carrying value of the bonds at the redemption date was $508,000. Prepare the journal entry to record the redemption of the bonds. What makes a family? Which equation can be solved to find x, the measure of BD in the diagrambelow?C53ABDE2330O A. *- 53 = 233B. }(233 + x) = 53C. (233 - x) = 53D. x+ 53 = 233= write a message to the frontliners David and Fiona want to know about how mass affects the motion of an object. David uses three objects with masses of 2 kg, 3 kg, and 8 kg, writes out his procedure, and records his observations on the force needed to move the objects. Fiona is investigating three different objects using observation. What is the difference in the way they approached this question?A. Only Fiona gathered evidence from her investigation.B. David used scientific articles for evidence.C. David's observations can be replicated by repeating his procedure.D. Fiona's observations can be replicated by observing different objects. Pls solve this question 1. The NetworkManager or Systemd Networkd components must be installed on a Linux system in order to configure an IP address on a network interface. True or False For a birthday party, Evelyn orders 10 chicken pizzas and 15 vegetable pizzas. Find the ratioof chicken pizzas to the vegetable pizzas By the beginning of chapter 9, whathas become very dim in the animals'memories?Animal Farm a = 85, what does b equal? the form of christianity that developed in the byzantine empire became known as For a project in her Geometry class, Kylie uses a mirror on the ground to measure theheight of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,then places a mirror on flat on the ground, marked with an X at the center. She thensteps 1.35 meters to the other side of the mirror, until she can see the top of theflagpole clearly marked in the X. Her partner measures the distance from her eyes tothe ground to be 1.25 meters. How tall is the flagpole? Round your answer to thenearest hundredth of a meter. What is a theme of "Sea Rose"?isolationbeautyinstabilitymystery What is the slope of the line that passes through (0, 7) and (3, 10)? Write the letter of the arrow that matches each probability word.a)*certain' is shown by the letterb)'evens' is shown by the letterC)'impossible' is shown by the letter What is most likely to happen as a result of Jamaal following these steps? He will increase his understanding of content in other subject areas. He will see an improvement on his test score for the upcoming science test. His teacher will allow him to retake his test if he does poorly. He will receive a lecture from his teacher for performing poorly on his science tests. The bar chart shows the transport preferences rate by countries in Europe. Summarise the information by selecting and reporting the main features, and make comparisons where relevant. Write at least 150 words. A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive? - b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?