If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k

Answers

Answer 1

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k


Related Questions

The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. Which equation can you use to find the measure of ∠BCG? A. 60° + 35° = x B. 60° – 35° = x C. 60° + x = 35° D. 35° + x = 60° Part D The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. What is the measure of ∠BCG? Enter your answer in the box.

Answers

Answer:

60° + 35° = x

Step-by-step explanation:

The line CG is cutting the angle m<BCG to have m<BCF and m<FCG. Hence;

m<BCG = m<BCF + m<FCG

Given the following

∠BCF = 60°

∠FCG = 35°

Substitute

m<BCG = m<BCF + m<FCG

m<BCG = 60°+35°

hence the required expression is 60° + 35° = x  where m<BCG is x

A family wants to enclose a rectangular playground for their toddler with an area of 24 square yards. The length of the garden is to be 5 yards more than its width. What should the dimensions of the playground be?

Answers

Answer:

3 × 8 yards

Explanation:

possible lengths & widths for the given area of 24 square yards:

1 and 24, 2 and 12, 3 and 8, 4 and 6

of these four options, only 3 and 8 fit the requirement of the length of the garden being 5 yards more than the width of the garden. thus, the answer is 3 × 8 yards.

i hope this helps! :D

Identify the Property:

2(x + 6)

Commutative Property

Identity Property

Distributive Property
WILL GIVE BRAINLY

Answers

Answer:

its in a graph?

Step-by-step explanation:

Sarah earned $175 babysitting for her neighbors. If she saved 40% of her money how much did she save?

Answers

Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?

Answers

Answer:

Company A = $13

Company B = $12.73

Company B

Step-by-step explanation:

To determine the unit cost for each company, divide the price of chocolate by the number of pounds

Unit cost = price ÷ total pounds offered

Company A

$32.50 ÷ 2 1/2

$32.50 ÷ 5/2

$32.50 x 2/5  = $13

Company B

$35 ÷ 2 3/4

$35 ÷ 11/4

$35 X 4/11 = $12.73

$12.73 is less than $13. Company b has a lower price per pound

can you help me answer this?

Answers

The answer is C i think.

i dunno TvT


SAYS I NEED MORE WORDS OK HERE I AM

Answers

Answer:

g=25 ÷d

Step-by-step explanation:

what happened to the tutor option :(

Answers

Answer: wym

Step-by-step explanation:

Learn with an example
If a town with a population of 1,000 doubles in size every 7 years, what will the population be
14 years from now?
people
Submit

Answers

4000 will be the answer

The length of a rectangular driveway is 3 times its width. If the length is 7 % yards, find
the length of the driveway and the area of the driveway.

Answers

Answer:

3 x 7 and 1/6 = 21 and 1/126

Step-by-step explanation:

your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.

Which expression represents the perimeter of a rhombus with diagonal lengths 8a and 10a?

Answers

Answer:

4a[tex]\sqrt{x}[/tex]41

Step-by-step explanation:

12*2+9x2= Perimeter.

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The diagonals of rhombus bisect each other at right angles and it has same perimeter as that of a square.

From this property stated above we can formulate  side of rhombus is below in equation (1)

Side and  diagonals of rhombus have following relation

[tex]\rm Let \; the \; side \; of\; rhombus = s\\Length\; of \; first \; diagonal = 8a\\ Length\; of \; second \; diagonal = 10a\\\\According \; to \; the \; identity\; for\; area \; of\; rhombus \\ s^2 = (p/2)^2 +(q/2)^2 ....(1) \\where \; p \; and\; q \; are\; the \; diagonals.[/tex]

so

[tex]\rm s^2 = (10a/2)^2 + (8a/2)^2\\s^2 = 25a^2 + 16a^2 = 41 a^2 \\s= \sqrt{41}a ......(2)[/tex]

Equation (2) represents side of rhombus

So the perimeter P of rhombus is given as

[tex]\rm P = 4\times s[/tex]

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

For more information please refer to the link below

https://brainly.com/question/24438053

help !! I can't figure this question out.

Answers

Answer:

C And D!

Step-by-step explanation:

Answer: I think it’s A (x + 4 = 14) I’m not sure though

Sally works for 38 hours per week. Her weekly wage is £355.68
She receives a pay increase of 23p per hour.
Work out her new weekly wage.

Answers

Answer:

£364.42

Step-by-step explanation:

£355.68 ÷ 38 hours = £9.36 per hour

£9.36 + £0.23 = £9.59 per hour

£9.59 * 38 = £364.42

What type of angle is ∠1?

obtuse
right
acute
straight

Answers

Answer:

acute angle

Step-by-step explanation:

acute angle because it is under 90°

If the angle measure is less than 90 degrees then it's acute, if it is equal to 90 degrees it's right or square, if it's more than 90 degrees it's obtuse, and if it's equal to 180 degrees it's a straight angle but in this case it's straight and obtuse since 180 is greater than 90.

Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?

Answers

Answer: $20.59

Step-by-step explanation:

0.13 * 6 = 0.78

25 - 0.78 = 24.22

85% * 24.22 = 20.59

find the values of b that make x^2+bx+1 a perfect square​

Answers

Answer:

(x+1)^2 = x^2 + 2x +1

so b =2

Step-by-step explanation:

in this b =2, the explanation

Through:(2,-5),slope=3/2

Answers

are you trying write it into slope intercept form ?

I am a 6-digit number one of my 4s is worth 400,000. My 5 is worth 5 [10s]. My other 5 is worth 1/100 as much.My 8 is worth 800.My 2 is worth 2 . My other digit is a 0 what number am I.

Answers

Answer:

The question is corrected to get;

405,852

Step-by-step explanation:

The expression of the description when written as follows;

'I am a 6-digit number one of my 4s is worth 400,000. The other 5 is worth 1/100 as much. My 5 is worth 5 (10s). y 8 is worth 800. My 2 is' worth 2. My other digit is a 0 what number am I, we have;

The number of digits in the number = 6

The position of the number 4 = 100,000s, we have;

4xx,xxx

The position of the number 5 is in the 10s position, we have;

4xx,x5x

The other 5 = 50100 = 0.5

Therefore, we have;

4xx,x5x.5

The position of the 8 is the 100s, to give;

4xx,85x.5

The number 2 is in the unit position, therefore, we have;

405,852

Answer both parts please​

Answers

Answer:

1-21m hight and 23 lenght

2-45 hight and 11 length

Is 2/3 bigger that 4/7?

Answers

First, convert. Least common multiple of 3 and 7 is 21.

2x7=14 3x7=21.

4x3=12 7x3=21.

The new fractions are 14/21 and 12/21.

Which is bigger?

---

hope it helps

58 8.6 1.5.
What is the value of x in the figure
below?
I AM BEGGING YOU

Answers

Hey there!

The correct answer is 50 degrees.

To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.

A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.

In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.

Now we have all the angles in the triangle.

With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.

Have a terrificly amazing day! :D

Plz, answer this question plz!

Answers

c. that is da answer swag

Find the unit rate.

15 plants in 5 rows = BLANK plants per row

Answers

Answer:

3 is the unit rate

Step-by-step explanation:

15/3 is 3 which is your individual value per row.

Can someone plzzzz help meeee!!!!!

Answers

Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!

Can anyone help? 110 degrees ,41 degrees , 40 degrees, x?

Answers

Answer:

11°

Step-by-step explanation:

This is hard to explain because they don't have names lol

So looking at the larger main triangle...

the top angle is composed of two angles measuring 40° and 41°. So it is equal to 81°.

The angle on the lower left side is a supplimentary angle with the one that measures 110°. The two of them combined make a line. A straight line is 180°, so that angle is 70°. (180 - 110)

The final angle in the triangle is accross from x. This makes them a pair of vertical angles, so therefore congruent.

The angles of a triangle add up to 180°

We already know the other two angles so 180 - 81 - 70 = 11°

so x is also 11°


I lied the first time. This is the last problem lol.

Answers

Answer:

y=10

Step-by-step explanation:

A line is 180°

6x10=60

120+60=180

Hope this helps :)

0.54 + 17/100 = blank/100 + 17/00

Answers

Answer:

54 i think

Step-by-step explanation:

Answer:54

Step-by-step explanation:

The decimal 0.54 is equal to 54/100

Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!

Answers

The volume = LBH = x²y

.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.

The volume of Pyramid = 1/3*y

h = 3 *1/3x²y/

h = 3*1/3x²y*1/

h = 3*1/3y

h= y

write an expression that has 5 terms and that is equivelent to 5x+y

Answers

Answer:

5x + y - 2 + 3 - 1

Step-by-step explanation:

103+1793=????????
what is the answer??​

Answers

Answer:

1896

Step-by-step explanation:

= 1896 use a Calculator
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