If k is one of the roots of x - 4k - 20/x = 0, how do I determine the possible values of k?​

Answers

Answer 1

9514 1404 393

Answer:

  no real solutions; k = ±i(2/3)√15

Step-by-step explanation:

If k is one of the roots, then substituting it for x will satisfy the equation:

  k -4k -20/k = 0

Multiplying by k gives ...

  -3k^2 -20 = 0

  k^2 = -20/3 = -6 2/3

There are no real values of k such that this is true.

__

If we allow k to be imaginary, then ...

  k = ±i√(20/3) = ±i(2/3)√15

Possible imaginary values of k are ±(2/3)√15.


Related Questions

after a teacher handed out m packs of notebooks with c notebooks in each pack

Answers

I need more information maybe a picture or something

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

QUICK PLEASE!!!
answer this question and show work or have an explanation.

Answers

Answer:

70

Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.

Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.

40 + 2x = 180. Subtract 40 from both sides.

2x = 140. Divide both sides by 2.

X = 70

what does a cluster tell you about the data on a scatter plot​

Answers

Answer:

A cluster tells you the location of the greatest point in a set of data values.

A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle​

Answers

Answer:

suppose length is x

breadth is y

now,

      x.y=18

      2(x+y)= 18

x= 3

y=6

Step-by-step explanation:

You deposit $150 into an account with an interest rate of 3%. After 5 years, how much interest have you earned?

Answers

if u earned $150 and had a rate of 3% if u add thise up u get $450 plus the 5 years you will have $950 i thonk that this is the right answer i dont really know

PLSSSS HELP!!

Find the surface area of the triangular pyramid.

a triangular pyramid - the base has side length 2.5 inches and height 2.2 inches and each face has height 5 inches

Answers

Answer:

31.25 in²

Step-by-step explanation:

Surface area of triangular pyramid

Perimeter, P = 4s = 4 * 2.5 = 10 inches

Lateral surface area = 0.5 * P * height = 0.5 * 10 * 5 = 25 inch²

The base area = s² = 2.5² = 6.25 inch²

Hence, surface are ao triangular pyramid ;

Lateral surface area + base area

= 25 inches + 6.25 inch²

= 31.25 in²

help in this question!!​

Answers

answer

Yes

Step-by-step explanation:

17.23 - 18.03

=1.77

I want the answer fast plz

Answers

Answer:

y=-x/3+2

Step-by-step explanation:

If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.

Help me on this because I am so confused

Answers

I have no clue what the answer is but if it’s asking for a solution there is no solution because they don’t cross at any point.

a circular park has a circumference of 36 yd. find its diameter​

Answers

Answer:

412.53 inches

or

11.45916 yards

Step-by-step explanation:

Answer: 11.46yd

Step-by-step explanation:

The formula for the circumference is dπ.

So using the formula you would have to do the inverse so 36/π=11.46 (2 decimal places)

What story does the graph tell about the turtle's
journey?
Need fast

Answers

Where’s the graph ??

HELPPP PLEASEEEEE


Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2

Answers

The second one...maybe, honestly just needed points wait for someone else to anwser

Explain why this common mistake is wrong. Many people might say that (2, 4) is an intercept of the equation 5x + 2y = 18.

Answers

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

A car travels 384 kilometers in 4 hours. (with a constant speed) how much time will it take traveling at 144 kilometers?

Answers

Answer:

1.5 hours or 90 minutes

Step-by-step explanation:

384 km: 4 hours

divide both sides by 4

96 km: 1 hour

multiply both sides by 1.5

144 km: 1.5 hours

Answer:

it will take 1.5 hrs as u multiply 144 with 4 and divide by 384

Just do one of them and I’ll know enough to do the rest.

Answers

Hope it helps.

If it helps then please mark it as the brainliest.

Thank you.

The question answer is in the picture

Can you please help me
:(

Answers

Answer:

Step-by-step explanation:

3 divided by 1/3 is 9 there are 3/3 in one hour, so split it in threes

the other awnsers are correct

the number of groups, they askd for how many shifts, not how many people are working each shift.

7. In a bay the time between high tide and low tide is approximately 6 hours. The first low tide is at 7 a.m. followed by a hide tide at 1 p.m. The depth of the water in the bay at low tide is 5 fathoms which rises to 9 fathoms at high tide. a) Sketch a graph of the depth of the water in the bay over time. Start your graph at 7 a.m. and graph at least on complete cycle. b) Write a function equation for your curve. Let t represent the number of hours after 7 a.m. c) How deep will the water be at 11 a.m?

Answers

THIS IS MS NEISES PLEASE SEE ME AFTER CLASS

THIS IS MS NEISES I AM REALLY MS NEISES

What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23

Answers

Answer:

D. 23

Step-by-step explanation:

5y = [360 - (65 x 2)] / 2

5y = [360 - 130] / 2

5y = 230 / 2

5y = 115

y = 23

Hope that helps!

can someone help please ill give Brainlist ​

Answers

Answer:

-1/3

Step-by-step explanation:

The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.

There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of
coin is in the jar?

Answers

d = number of dimes

n = number of nickels

The jar contains a total of 107 coins, so

d + n = 107

Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so

0.10d + 0.05n = 6.70

Multiply both sides of the second equation by 100 to eliminate the decimal points:

10d + 5n = 670

Multiply both sides of the first equation by -5:

-5d - 5n = -535

Add the corresponding sides of these two equations to eliminate n and solve for d :

(10d + 5n) + (-5d - 5n) = 670 + (-535)

(10 - 5)d + (5 - 5)n = 670 - 535

5d = 135

d = 135/5 = 27

Then

n = 107 - d = 80

so the jar contains 27 dimes and 80 nickels.

Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = -x.

Answers

Answer:

90⁰

Step-by-step explanation:

y=cosx

y'= -sinx

eqñ of tangent is y=-x

slope of tangent =-1

we know...

slope of tangent = y' or derivative of y

-sin x = -1

sin x= 1

x = 90⁰

in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?

Answers

Answer:

17 grams

Step-by-step explanation:

21grams-4=17grams

Answer:

17 grams

Step-by-step explanation:

Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).

The relative frequency that the traffic lights will show GREEN at road works is 0.7. Estimate how many times they would be RED over the next 40 journeys?

Answers

Answer:

28 reds are expected over the next 40 journeys

Step-by-step explanation:

Here, we want to get the number of reds in the next 40 journeys

From the question, we have that the relative frequency is 0.7

Thus, for the number of reds, we have to multiply the relative frequency by the number of journeys

We have this as;

40 * 0.7 = 28

help asap!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 sq un, and 9 sq un

Step-by-step explanation:

The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?

A.
2 units

B.
7 units

C.
9 units

D.
12 units

Answers

Answer:

c. 9 units

Step-by-step explanation:

Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?

Answers

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

A surfer is riding a 12 foot wave. The angle of depression from the surfer to the shoreline is 23° . Find the horizontal distance from the surfer to the shoreline.

Answers

It would be about 28.302 Ft

tan 23 = 12/x

x = 12/0.424

x = 28


Mark works 24 hours a week and earns £11.63.
Calculate Mark's weekly basic pay and then find his annual salary

Answers

Weekly pay = amount per hour x number of hours:

24 x 11.63 = 279.12

Annual salary = weekly pay x 52 weeks:

279.12 x 52 = 14,514.24

Please help
Find the are of the trapezoid given the following

Answers

9514 1404 393

Answer:

  A = 8x³ +4x² -4x

Step-by-step explanation:

Put the given values into the area formula and simplify.

  [tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]

Please help due in 8 minutes!!!!

Answers

Answer:

should it be like 16ft or sum like do it give u multichoice answers

Step-by-step explanation:

Answer:

The area of the shape is 21.87 square feet.

Step-by-step explanation:

Assuming the indent on the right is a perfect semicircle, then you need only subtract the area of the semicircle from the area of the rectangle.

The rectangle is six feet on both directions, giving it an area of 36 square feet.

The circle then has a radius of 3 feet.  The area of a circle is equal to πr², so in this case, π × 9.  Using a pi value of 3.14, nine times that is 28.26.  We only want half the circle's area though, giving us 14.13.

Now we can subtract that semicircle from the square giving us:

36 - 14.13 = 21.87

So the total area is 21.87 square feet.

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