If 5 and (7+ square root 2) are roots of a polynomial with integer coefficients, what must be another root?

Answers

Answer 1

Answer:

x = 7 - [tex]\sqrt{2}[/tex]

Step-by-step explanation:

note that roots of the form x = a + b[tex]\sqrt{c}[/tex] occur in conjugate pairs, that is

x = a - b[tex]\sqrt{c}[/tex]

given x = 7 + [tex]\sqrt{2}[/tex] is a root then x = 7 - [tex]\sqrt{2}[/tex] is the other root


Related Questions

Rewrite this number in scientific notation.
57,000,000,000,000

Answers

Answer:

57.0 * 10^12

Step-by-step explanation:

Answer:

5.7 x 10^13

Step-by-step explanation:

trust me

can you please help me? as much as you can is greatly appreciated <333 pt 2

Answers

Answer: m3 for the first one

Step-by-step explanation:de

This could take a while, so I'll simply put the answer with the theorem I used to figure it out with.

1) 45° - minor arc; Central Angles/Arcs Theorem

2) 180° - semi circle; Diameter Theorem? (Whichever theorem states that the diameter separates a circle into two 180° semi circles)

3) 75° - minor arc; Angle Addition Postulate

4) 105° - minor arc; Angle Addition Postulate

5) 225° - major arc; Angle Addition Postulate

6) 45° - minor arc; Vertical Angles Theorem

7) 135° - minor arc; Angle Addition Postulate

8) 240° - major arc; Angle Addition Postulate

9) 315° - major arc; Angle Subtraction Postulate, i think? lol.

10) 180° - semi circle; Diameter Theorem or whatever it's called lol.

Additionally, I determined whether or not an angle was a major arc, minor arc, or semi circle with the knowledge that:

minor arc - less than 180 degreesmajor arc - more than 180 degreessemi circle - is 180 degrees.

Have a nice day, fam. Spread The Love. lol I'm tired after typing all this out :P

Create and solve a 2 step equation where x = -3

Answers

Answer:

Equation:

x + 2 = -1

x = -1 - 2

x = 3

Urgent!! Math help!!! Pls answer them all or the ones you know! I’ll make you brain-list!

Answers

Answer:

1) mEF is 38°

2) mDE is 52°

3) c. 6.28

4) b. 20.94

Step-by-step explanation:

1) mEF is corresponding to mHG

2) mDE + mEF = 90, so 90-38=52

3) L=r·∅    so L=3·120 (in radians)

4) Couldn't see Q, but based on the right angle we can assume the inside angle for mQPT is 119°

I need help, please anyone!

Answers

1.45 is the answer! brainliest

Please help me! No links!!!
what is v?

v-6=-20

Answers

Answer:

Hi! The answer to your question is v = 14

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

12

Step-by-step explanation:

20-60=12

Can you guys plz help me!?
Thanks!!

Answers

X=10 as the 2 angles are the same

Which of the following expressions are equivalent to (25)-7 · 24?

Answers

Answer:

where is the following, or is it not multiple choice?

Step-by-step explanation:

Answer:

432 will be your answer

Step-by-step explanation:

A possible expression could be

18 x 24

I would appreciate the options.

A rectangular prism is 20 yards long and 9.4 yards wide. Its volume is 3,384.0 cubic yards. What is the height of the rectangular prism?

Answers

5,6930 I did the work

y = -3/2x -2 y = -1/4 + 3

Answers

Answer:

umm. what am I supposed to find

Step-by-step explanation:

I need to know what to fi d in order to get the answer for you it would make it easier if you did that now so yeah

Find the value of x then find the angle measures of the polygon

Answers

Answer:

X=135⁰

Step-by-step explanation:

The sum of angles= 540

Angles are x⁰ x,⁰(x-45⁰),(x-45)⁰

x+x+x+x-45+x-45+x-45=540

5x-135=540   simplify

5x=540+135   Add 135 to both sides

[tex]\frac{5x}{5} =\frac{675}{5}[/tex]

divide both sides by 5

X=135⁰

hope it helps....

Solve the system using the substitution method. -5x – 8y = 17 x = 3.5y – 8.5 NO LINKS PLEASE HELP LINKS = REPORT

Answers

Answer:

x=-5 , y=1

Step-by-step explanation:

-5x-8y=17

x=3.5y-8.5

-5(3.5y-8.5)-8y=17

-17.5y+42.5-8y=17

-25.5y+42.5=17

-25.5y=-25.5

y=1

x=3.5(1)-8.5

x=-5

Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?

Answers

Answer:

50 - 8 = 42

divide 42 by 3!

5.25

Answer the question please and no links. Please explain too. ​

Answers

Answer:

(20,5)

Step-by-step explanation:

The line is proportional making the answer equivalent.

Answer:

(20,5)

Step-by-step explanation:

20,5=4,1

What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.

Answers

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

b^2 = a^2 + c^2 − 2ac cos(B)

b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

b^2 = 34 - 30 x 0.469

b^2 = 34 - 14.084

b^2 = 19.916

b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

Answer:

4.5 mm

Step-by-step explanation:

16. Solve for x. x = __________

Answers

Answer:

20

Step-by-step explanation:

Help me, I will give brainliest to best answer. No work needs to be explained.

Write three hundreths as a decimal.

Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths

Answers

Answer:

3.00 I think or 30.0 I really don't know but that's what I think

Joey and her sister are helping remodel their parent's house.

They plan to carpet the bedroom which is 14 feet by 16 feet.

The carpet is priced at $1.90 per square foot.

How much can they expect to pay for the new carpet?

Answers

Answer:

They will have to pay $425.60

Step-by-step explanation:

14*16 equals 224 feet

224 feet times $1.90 equals $425.60

What is the slope-intercept equation for the line below?
5
(54)
(0, 2)
- A. y = 2 x + 2
D. -- +2

Answers

It would be at 35 when you work all then problems together

Bigcity United played thirty games last season. They won 60% of these. How many games did they lose?

Answers

Answer:

Bigcity United lost 12 games.

Step-by-step explanation:

Since you know the percentage of games Bigcity United won, first you need to determine the percentage of games that they lose by subtracting the percentage of games they won from 100%:

100%-60%=40%

Now, you know that they lost 40% of the games and you can calculate 40% of the number of games they played last season:

30*40%=12

According to this, the answer is that Bigcity United lost 12 games.

For the rhombus below, find the measure of angles 1,2,3 and 4.

Answers

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

Can someone help me find the distance between each pair of points round the answers to the nearest tenth if necessary please help with 2,4 show me how you get it and the answer please

Answers

Answer:

I'm not really understanding this question can you give me some more info

If 5% of a number equals eight find 50% of that number

Answers

Answer:

80

Step-by-step explanation:

160 x .05 = 8

(5% of 160 is 8)

160 x .5 = 80.

You know you should multiply, because when working with fractions, decimals, and percentages, the word "of" means multiplied by.

Which statement is true? *
none of the other choices
sin 50° = cos 40°
sin 50° = tan 50°
sin 50° = tan 40°
sin 50° = cos 50°

Answers

Sin 50= cos 40 is true

Answer:

sin 50=cos 40 is true statement.

There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color

Answers

Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

PLS HELP QUICK!!

The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.

Answers

Answer:

4

Step-by-step explanation:

750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root

Anyone know how to do this?

Answers

Answer:

yes its B mark brainliest please

Step-by-step explanation:

IT IS

B

B

B

B

B

One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.

x = first number

y = second number

x=y+5

3x +2y = 30

lets substitute x=y+5 in the second equation for x;

3(y+5) + 2y =30

3y + 15 + 2y = 30

5y + 15 =30

5y = 30 -15

5y = 15

y = 3

Now that we have y lets plug that answer into either equation for y;

x = 3 + 5

x = 8

:) if I’m wrong I’m very sorry.

can you please help me? as much as you can is greatly appreciated <333 pt 1

Answers

Answer:

11) 80°

12) 80°

13) 80°

14) 40°

15) 60°

16) 120°

17) 180°

18) 100°

19) 120°

20) 280°

Step-by-step explanation:

This will take awhile, so I will just give you the theorems I used to determine my answer.

11) Supplementary angles theorem

12) Central Angles/Arcs Theorem

13) Vertical Angles Theorem

14) Central Angles/Arcs Theorem

15) Vertical Angles Theorem (The vertical angle minus 40 would equal 60)

16) Supplementary Angles Theorem (Supplementary to 100 degrees)

17) Central Angles/Arc Theorem

18) Vertical Angles & Central Angles/Arc Theorem

19) Angle Addition Postulate, somewhat

20) Angle Addition Postulate

Have a nice day, fam. This problem really worked my brain. Spread The Love.

i need help whats the answer for 2x^2=50

Answers

2x^2=50
/2. /2
X^2=25
To get x alone you have to square root the ^2 to cancel it out , and what you do to one side you must do to the other. This means you also have to square root 25
The square root of x^2 is x and the square root of 25 is 5

The answer is x=5

Answer:

x = 5

x = -5

Step-by-step explanation:

2x^2 = 50

2x^2 - 50 = 0

2(x^2 - 25) = 0

2(x^2 + 5x - 5x - 25) = 0

2((x^2 + 5x) + (-5x - 25)) = 0

2(x(x + 5) - 5(x + 5)) = 0

2(x - 5)(x + 5) = 0

x - 5 = 0

x + 5 = 0

x = 5

x = -5

Other Questions
You buy 9 granola bars for a camping trip. Each bar costs $0.95. Whatis the total cost of 9 granola bars before tax? What is the freezing point of a solution of 15.0 g nacl 250g water? Which relationships have the same constant of proportionality between yyy and xxx as the following table? (Choose 3 answers) What happens in Section 1 of An Occurrence at Owl Creek Bridge? A vector is 14.4 m long andpoints in a 133 degreedirection.Find the y-component of thevector. What are 3 things the executive branch does? Why was Agile Manifesto developed? when current output is greater than potential output, which of the given monetary policies is the federal reserve (the fed) likely to enact? decreasing reserves to increase interest rates increasing reserves to decrease interest rates stimulating consumer spending by manipulating tax rates making imports more costly to increase domestic spending Calculate the fringe separation for light of wavelength 680nm that falls on two slits 4 separated by 0.1 mm when the screen is placed 1.3 m away from the slits. Could there be a frameshift mutation that would not affect the structure and function of the resulting protein?. an error in the physical count of goods on hand at the end of a period results in a $10,000 overestimate of the ending inventory. the effect or the error in the current period is What will happen if there are increases in the prices of the resources used to produce a particular good? What did Wilson promise about ww1? What is the formula of capillary tube? suppose a u.s.-based company buys swiss chocolate in zurich for 25,000 swiss francs (chfs) on june 1. what date is this transaction recorded on the books for the u.s. firm? What is the substrate process? How does the section "The Evolution ofPasta" contribute to the development ofideas?A. It describes how pasta haschanged throughout time.B. It compares the many types ofpastas Italians make.C. It explains why Italians eat pastawith their hands.D. It tells about the different saucesItalians like on their pasta. What type of transformation gives you an image which is a similar figure to the pre-image? Can I refuse to register for the Selective Service? to remove 99% of benzene (c6h6) from groundwater contaminated with 5 mg/l benzene using advanced oxidation. if the groundwater is pumped at 100 gallon per minute, how much benzene