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

IF ME is a diameter, the length of TE is 6, and the length of MT is 8, what is the EXACT circumference of circle D?

Answers

Answer:

10π

Step-by-step explanation:

Since ME is the diameter of the circle,

angle MTE = 90° (∠ in semicircle)

By pyth. theorem we can obtain,

ME = √8² + 6²

ME = 10

The diameter of the circle is 10

The circumference of circle D is 10π

Answer:

<MTE =90°

the inscribed angle from the diameter is 90°

in triangle MTE

MT=8 unit

TE=6unit

by using Pythagoras law

D=ME=√(8²+6²)=10 unit

radius =D/2=10/2=5unit

circumference of circle D=2πr=2π×5=10π or31.4unit

Num supermercado vendem-se embalagens de bombons de 500 g. No gráfico de barras abaixo está o resultado da análise do número de bombons existentes em 20 embalagens.
A amplitude deste conjunto de dados é
8
e a amplitude interquartis é

Answers

Answer

Step-by-step explanation:

PLEASE HELP!!!!! AND HURRY TIMED!
Which method correctly solves the equation using the distributive property?

Negative 0.2 (x minus 4) = negative 1.7
Negative 0.2 (x minus 4) = negative 1.7.
Negative 0.2 x minus 4 = negative 1.7.
Negative 0.2 x = 2.3. x = negative 11.5.

Negative 0.2 (x minus 4) = negative 1.7.
x minus 4 = 0.34. x = 4.34.

Negative 0.2 (x minus 4) = negative 1.7.
Negative 0.2 x + 0.8 = negative 1.7.
Negative 0.2 x = negative 2.5. x = 12.5.

Negative 0.2 (x minus 4) = negative 1.7.
Negative 0.2 x minus 0.8 = negative 1.7.
Negative 0.2 x = negative 0.9. x = 4.5.

Answers

Answer:

Negative 0.2 (x minus 4) = negative 1.7.

Negative 0.2 x + 0.8 = negative 1.7.

Negative 0.2 x = negative 2.5. x = 12.5.

Step-by-step explanation:

i believe thats the correct anwser

Answer:

its c

Step-by-step explanation:

on egde

5. A robot that picks up tennis balls is on a straight path from (8,6) toward a ball at (-10,-5). The robot picks up a ball at (-10,-5) and then turns 90° right. What are the coordinates of appoint that the robot can move toward to pick up the last ball?​

Answers

Answer:

Step-by-step explanation:

so this question is about perpendicular lines.    keep in mind that a perpendicular line has a reciprocal slope of opposite sign, from the line it's perpendicular to .  :)  okay so what is that line the robot is on, let's first  

find the slope  , m

m = (y2 - y1)  / ( x2 - x1)  

P1 = (8,6)  in the form ( x1,y1)

P2= (-10,-5) in the form (x2,y2)

then

m = (-5-6) / (-10-8)

m = -11 / -18

m = 11/ 18

and then lets use the point-slope formula with the slope we just found and one of the given points, let's pick  P1

y-6 = 11/18(x-8)

y = 11/18x - 88/18 + 6

y = 11/18x -88/18 + 108/18

y = 11/18x + 20/18

now let's take the reciprocal of the slope and change the sign,  then we have

y = - 18/11x +20/18  ( coordinates robot can move on )

on the graph I'm attaching the green line is the one where the robot first moves, then the purple one.. is the one it turns 90 ° on to .

help me plz 10 points

Answers

Answer:

580 cm

Step-by-step explanation:

To find the surface area you just need to find the area of every side of the box and add them together.

SO- the equation for this would be

SA (Surface Area) = 2(20 x 10) + 2(20 x 3) + 2(10 x 3)

SA = 2(200) + 2(60) + 2(30)

SA = 400 + 120 + 60

SA = 520 + 60

SA = 580

How many 1/5 cup servings are in 5 cups of cereal?

I need the answer ASAP!

I'll give brainliest!

Answers

Answer:

there are 25 1/5 cups

Step-by-step explanation:

25/5=5

hope this helps

Answer:

25 servings

Step-by-step explanation:

to fill one cup, 5 servings would have to be, um... served.

for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings

(p.s., pls mark me brainliest, and have a great day!)

1,645/0.047
Please show your process

Answers

Answer: 35000

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

329/200 / 0.047

329/200 / 47/1000

35

PLEASE HELP!!!!!! I CANT FIGURE IT OUT

Answers

Answer:8

Step-by-step explanation:

How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.

Answers

Answer:

C, you can use rotations to describe a change in the position of a figure.

use properties of operations to complete the equivalent expressions
2(r + 3)

Answers

2r+6 I think it would be bc u distribute the 2 into the parentheses

If 256 - 64 = 4, then?

A)
4 x 64 = 256
B)
4x 256 - 64
C)
64 x 256-4
D)
256 x 64 = 4

Answers

Answer:

Step-by-step explanation:

B

Answer:

Its would be A

Step-by-step explanation:

4 X 64=256

Hope this helped. If you check its simple math really! :))

please help me asap.

Answers

Answer:

21

Step-by-step explanation:

Yes I am here to help

please help with my geometry

Answers

25 = hypothenuse
14 = opposite
Use SOHCAHTOA
Give O and H, you can use sin
Sin^-1 = 14/25 = 34.0557
Round to hundreds
Solution: 34.06

Help please !!!

Here are two equations. One defines function m and the other defines function p. m(x) = x(x + 6) p(n) = (x + 3) ^ n - 9

A. Are the equations equivalent? _________

B. What is the vertex of the graph of m? ____________

C. What are the x-intercepts of p? ____ and ____

D .function m is written In _____

F. Function p is written in _____

Answers

C is the best answer choice

giving brainliest to whoever explains best. don't answer if you don't speak english well. don't answer if you're 9 years old. don't answer if you don't understand the subject. don't answer anything other than QUESTION C. now stop wasting my points i beg

Answers

Answer:

Gillmans

Step-by-step explanation:

I feel like gillmans class did better cuz their class didnt have anyone get a score less than 60 but mr athens class had people who got below 50. Although athens class has people over 95 the most were 60-90 while gillmans was 70-90

Please help me :C PLEASE I BEG

Answers

Answer:

$0.83

Step-by-step explanation:

Its teh only one that makes sense since the 2nd is under, 3rd is over, and 4th is for lazy people

Answer:

a

Step-by-step explanation:

Lin's father is paying for a $20 meal. He has a 15% off coupon for the meal. After the discount, a 7% sales tax is applied. What does Lin's father pay for the meal? Explain or show your reasoning.

Answers

Answer:

Check pdf

Step-by-step explanation:

Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures 24 inches in length, 10 inches in width, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top? Use paper to show your work.

Answers

Answer:

[tex]Volume = 960in^3[/tex]

Step-by-step explanation:

Given

Empty Tank

[tex]Length = 24in; Width=10in; Height = 12in[/tex]

When filled with water, the height is:

[tex]Height = 8in[/tex]

Required

Determine how many more cubic inches needed

First, we calculate the difference between the height of the tank and the height of the water.

[tex]H = 12in - 8in[/tex]

[tex]H = 4in[/tex]

The volume of water to full the tank is then calculated as:

[tex]Volume = Length * Width * H[/tex]

[tex]Volume = 24in * 10in * 4in[/tex]

[tex]Volume = 960in^3[/tex]

20 points AND brainliest. Write an equation in slope intercept form to represent the table above. For example: y = 36x + 36. Please put enter a space after each term as shown in the example.

Answers

Answer:

This is a ratio table,so therefore there is always a pattern.

Step-by-step explanation:

In order to solve,you have to find the constant in the question,such as 30,40,50,and 60.The constant in this example is 10.When the constant is not even,or the numbers are not even,that's the time you pull out your notebook multiplication chart.Look at the numbers,and see if those numbers are on the chart.If all of them are on the chart,then see if one or both of the multiplicable numbers fall under the category of your variables.If all are under one number,then that number is your answer.

Convert 639 into quinary system​

Answers

Step-by-step explanation:

To convert decimal number 639 to quinary, follow these steps:

Divide 639 by 5 keeping notice of the quotient and the remainder.

Continue dividing the quotient by 5 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 639.

Using the above steps, here is the work involved in the solution for converting 639 to quinary number:

639 / 5 = 127 with remainder 4127 / 5 = 25 with remainder 225 / 5 = 5 with remainder 05 / 5 = 1 with remainder 01 / 5 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The decimal number 639 converted to quinary is therefore equal to :

10024

1/2+1/3 + ___ = 1 (I want right ans)

Answers

Answer:

1/6

Step-by-step explanation:

1/2 + 1/3 + x =1

5/6 + x = 1

x = 1 - 5/6

x = 1/6

pls hurry will give brainlyest or whatever !!!

Solve this equation:
1 - (x-4) = 2x + 2(x - 5)

a. 5

b. 3

c. 1

d. 4

Answers

Answer:

The answer is 3

Step-by-step explanation:

The answer is 3 because x= 15/5 = 3

A loan of$8000 was repaid in 24 equal monthly installments of $400 . The rate of interest on the loan was​

Answers

Answer:

1%

Step-by-step explanation:

24(400) = 9600 = total amt paid

9600 - 8000 = 1600 = amt of interest paid

I = PRT         T = 2 yr

1600 = 8000(2)R

1600 = 16000R

1600/16000 = 1/10 = .01 = 1%

what is the first step in evacuating the expression below

Answers

Answer:

adding 4 +2

Step-by-step explanation:

in parenthesis

Aceiling fan is pictured below. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. What is the circumference for point A on the fan to travel one full revolution? C=217 A 2 STT Inches 656 inches C 168 inches
D 112 inches ​

Answers

Answer:

B. 56π

Step-by-step explanation:

Circumfrance = 2πr OR πd(r*2)

C = 2π(28) -> C = 56π

OR

C = π(28*2) -> C = 56π

Answer:

B (56π)

Step-by-step explanation:

 

Circumference = 2πr or πd

C = 2π(28) (after completing this step:) C = 56π

Thus, C = 56π

Tags:

math,math,B (56π),pi,pie,area,circumfrence,diamater,radius,brainly,brainliest,Aceiling fan is pictured below. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. What is the circumference for point A on the fan to travel one full revolution? C=217 A 2 STT Inches 656 inches C 168 inches

lily beoug y a bag of gimmy bears and atw 1/3 if them the next day she​

Answers

Answer:

whatttttttttttttttttt???????????????????

Step-by-step explanation:

hiw to graph y=-2X+2​

Answers

Answer:

(1,-4) and (0,2)

Step-by-step explanation:

Answer:

This is what it will look like

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Answers

Answer:

Radius -  4

Apothem -  2

Area - [tex]12\sqrt{3}[/tex] or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

[tex]12\sqrt{3} \div3 = 4\sqrt{3}[/tex]

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

[tex]Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6[/tex]

By the way, the formula for the area can be either of the two:

[tex]A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS[/tex]

we can easily find the area using the first formula.

[tex]A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}[/tex]

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

Helpppppppp me please

Answers

I think H. I tried sorry. I can't remember much when I learn this

9514 1404 393

Answer:

  J = {4, -8, 7, 3}

Step-by-step explanation:

Sets F, G, H contain fractions, so are not limited to integers.

Set J simplifies to integers, so is the one you want.

Find the x-intercept and y- intercept from the following linear equation: -7x+4y=56

Answers

Answer:

-52/7

Step-by-step explanation:

Dont care just do it or check it

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