What value of k is the expression x^4+kx^2+36 a perfect square?

Answers

Answer 1

[tex]\text{ The discriminant is 0 if the quadratic expression is a perfect square.}\\\\~~~~~b^2 -4ac =0\\\\\implies k^2-4\cdot 1 \cdot 36 = 0\\ \\\implies k^2 - 144 = 0\\\\\implies k^2 = 144\\\\\implies k = \pm\sqrt{144}\\\\\implies k= \pm12\\\\\text{Hence}~ k=12 ~\text{and}~ k=-12.[/tex]


Related Questions

Roy worked part time over the summer and charged $15 an hour to mow lawns. How much money would he have made if it took him three hours to mow the Robertson's lawn? (help me pls)

Answers

Answer:

$45

Step-by-step explanation:

Since he charches $15 per hour you just multiply 15 and 3 and you get $45.

Solve for the value of x:-
[tex]4x-5 = 3[/tex]

Answers

[tex]4x-5 = 3[/tex]

[tex]4x = 8[/tex]

[tex]x = 8÷4[/tex]

[tex]x = 2[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \large \textbf{Let's evaluate~} [/tex]

[tex] \textsf{4x - 5 = 3} [/tex]

[tex] \textsf{4x = 5 + 3} [/tex]

[tex] \textsf{4x = 8} [/tex]

[tex] \textsf{x = 8 ÷ 4} [/tex]

[tex] \textsf{x = 2} [/tex]

Select all of the statements that are true

Answers

Answer:

a and c

Step-by-step explanation:

Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? round your answer to the nearest tenth of a percent. %

Answers

The probability that the dart lands within the dartboard given the area of the dartboard and the square is 78.6%.

What is the probability?

Probability is the odds that an event would happen. The odds the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the dart lands within the dartboard = area of the dartboard / area of the square

25π / 100

(25 x 3.14) / 100 = 78.6%

To learn more about probability, please check: https://brainly.com/question/13234031

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Answer:78.5 is the answer

Step-by-step explanation:

anthony scored 8 goals in the second round. this made his total score 39. how many points did he score in the first round

Answers

Answer:

He had 31 points in the first round.

Step-by-step explanation:

Answer:

39-8= 31

Step-by-step explanation:

let the first round be x

second round =8

first round + the second round = 39

therefore, x+8=39

collect like terms

x= 39-8= 31.

so the answer is 31

factor using the greatest common factor (GCF)
4x² + 14

Answers

Answer:

2(2x^2 + 7)

Step-by-step explanation:

The GCF is 2.

2(2x^2 + 7)

In Manchester, 3 of the 18 radio stations play country music.
What is the probability that a randomly selected station will play country music?
Write your answer as a fraction or whole number.
P(country) =

Answers

Answer:

There is a one in six chance that a randomly selected radio plays country music.

Step-by-step explanation:

There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6


!!20 points and Brainliest!!!! Make sure to explain!!!

Which of the following would best be solved using completing the square?

A) 2x^3 - 12x^2 + 5x - 30 = 0

B)5x^2 + 7x = 12

C) x^2 = 81

D) x^2 + 4x - 21 = 0

Answers

Answer:

D) x^2 + 4x - 21 = 0

Step-by-step explanation:

answer this pls
pls answer​

Answers

Answer:

1/12

Step-by-step explanation:

Given

5/14 x 7/30

Solving

This can easily be solved by using cross-multiplicationIf we are given a fraction a/b, it can be rewritten as a x 1/b⇒ 5 x 1/14 x 7 x 1/30Now combine (7 and 1/14) and (5 and 1/30)⇒ 7 x 1/14 x 5 x 1/30⇒ 7/14 x 5/30⇒ 1/2 x 1/6⇒ 1/12

Answer:

[tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

Rewrite the denominators as products of factors, then cancel the common factors.

[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]

Please help!!
Find the measure of the arc or angle indicated.

A. 60°
B. 90°
C. 30°

Answers

Answer: A

Step-by-step explanation:

ax2 + bx + c
Use the X method to find the solutions of
6x2 + 2x - 20 = 0.
X=
ac
X=

Answers

Answer:

X=-1/2 or x=5/3

Step-by-step explanation:

1. is -2

2. 5/3

i got it right

The approximate salary, in thousands, earned each year for the first five years is $400, $420, $441, $463, and $486. explain how you can evaluate the fifth partial sum. what does the fifth partial sum represent?

Answers

The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.

The fifth partial sum represents the sum of the first 5 terms in the sequence.

What is the partial sum of sequence?

The partial sum of a sequence gives the sum of the first n terms in the sequence.

Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.

The given geometric sequence :

$400, $420, $441, $463, and $486.

The fifth partial sum of the above sequence will be :

$400+ $420+ $441+$463+$486=$2210

Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.

To learn more about the sequence visit:

https://brainly.com/question/7882626

Answer:

Add the five terms.

Use the formula for the fifth partial sum.

The fifth partial sum represents the total amount of money the athlete earns over the first five years.

Step-by-step explanation:

1st q pls help i dont under stand how the answer is 12000

Answers

Answer:

See below

Step-by-step explanation:

1/3 (300000) = 100 000      80% of this = 80 000

2/5 (300000) = 120000    125% of this = 150 000    total so far = 230 000

Overall 10% profit would yield  300000(1.1) = 330 000

 the remaining land needs to sell for

    330 000 - 230000 =    100 000

Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.45 and each lollipop costs $0.25. Which inequality represents the possible combinations of x, the number of candy bars, and y, the number of lollipops Renee can buy?

Answers

The inequality that represents the possible combinations of candy bars and  lollipops that he can buy is given by:

[tex]0.45x + 0.25y \leq 28[/tex]

What is the inequality that models this situation?

The total price can be no more than $28, hence:

[tex]T \leq 28[/tex]

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:

T = 0.45x + 0.25y.

Hence, the inequality that models the situation is:

[tex]0.45x + 0.25y \leq 28[/tex]

More can be learned about inequalities at brainly.com/question/25235995

The shaded parts of the fraction bar below represent a fraction.

A fraction bar is divided into 3 parts. 1 part is shaded.

Which bar models an equivalent fraction?

Answers

The answer is the last bar model.

The orignal model is 1/3 and the last model has 4/12 shaded and divide that by 4 you get 1/3 have a good day.

Please help me!
thanks

Answers

a) 45 mins

each big square represents 15 mins

b) 100km/h

speed= distance/time so it would be 50km/0.5h= 100km/h


Hope this helps! :)
ur answer should be 100km/h! hope this helped, and lmk if i made an error !

Triangle ABC is given. If cos(A) = , what is sin(B)? A. B. C. D.

Answers

Answer:

cosB = cos (π/2-A)

= sinA

=8/9

Step-by-step explanation:

Does anyone know #13????

Answers

I believe it is 3. since it touches the x-axis in three areas

Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Select one:

1/3

1/25

1/5

1/4

Answers

Step-by-step explanation:

what happens, when we actually calculate the given fractions ?

after all, a fraction is always a division.

so,

1/3 = 0.3333333333...

1/25 = 0.04

1/5 = 0.2

1/4 = 0.25

aha !

1/4 is the correct answer.

Based on a survey of U.S. residents completed in 2014, ___________ percent of respondents agreed that global warming is occurring

Answers

Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:

[tex]P = \frac{520}{1000} \times 100\% = 52\%[/tex]

More can be learned about the percentage concept at https://brainly.com/question/10491646

also please answer this it makes no snese

Answers

Answer:

? = 106°

Step-by-step explanation:

the 2 angles marked with double arcs are equal

the sum of the interior angles of a quadrilateral = 360° , then

63° + 85° + 2? = 360° , that is

148° + 2? = 360° ( subtract 148° from both sides )

2? = 212° ( divide both sides by 2 )

? = 106°

Which quantity could go in the blank to make the equation below true?

x + 2x +_____=5x

Answers

2x is the answer to the equation
2x

If you - x from each side of the equation you get: 2x + ____ = 4x

Then we can -2x from each side to get: ____ = 2x

select the correct answer what is the average rate of change of f(x), Who represented by the graph over the interval [0,2]?

A.2
B.1
C.0.5
D.-0.5

Answers

2 is the average rate

Simplify
2/3 - 5/6•8

A) -4
B) -6
C) -22/3
D) -4/3

Answers

Answer:

B) -6

Step-by-step explanation:

5/6 x 8 = 5/6 x 8/1 = 40/6 / 2 = 20/3 = 2/3 - 20/3 = -18/3 / 3 = -6

Alicia is mixing paint. She has a bucket that contains 5 1/2 pints of paint. She adds 1/4-pint containers of paint to the bucket until she has at most 8 3/4 pints of paint in the bucket.

Answers

Answer:

13 times?

Step-by-step explanation:

From 5 1/2 to 8 1/2 she needs to add 3 * 4 = 12 times since 1 paint = 4 pint

then she just needs to add 1 more to become 8 3/4

12 + 1 = 13

The order is 0 -> 1/4 -> 1/2 -> 3/4 -> 1

Jim took 2 hours to take a test. He figured it took him 4
minutes to answer a multiple choice question, 8 minutes to
do a problem of just calculations, and 12 minutes to
complete a word problem. There were 15 questions and
he answered the same number of calculation problems as
word problems. How many multiple choice questions did
he answer?

Answers

Answer: it would be 5

Step-by-step explanation: i hope this helps

Need this quick! : Transformations, Congruence, and Similarity

Answers

Answer:

xz=cb            = 45/60 = .75

zy=ab            = 30/40 = .75

xy=ac             = 37.5/50 = .75

Step-by-step explanation:

all lines when put into ratio format show .75 scale factor big to little triangle side lengths.

A tessellation could be created using parallelograms like the one shown below.
True or False?

Answers

Answer:

A. : True hope this helps someone

Step-by-step explanation:

A tessellation could be created using parallelograms like the one shown below is true.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Tessellations can be created using a variety of shapes, including parallelograms.

A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.

In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.

Thus,

A tessellation could be created using parallelograms like the one shown below is true.

Learn more about parallelograms here:

https://brainly.com/question/1563728

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Find the geometric mean between 20 and 30. If necessary, round to the nearest tenth

A) 17.3
B) 7.1
C) 24.5
D) 25​

Answers

its 25 because its in the middle of 20 and 30

i am stuck i need help on this one

Answers

Answer:

B is the answer you were right

so sorry if I am wrong but I am really sure that is the answer

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