If the equation 9y2 + 6ky + 4 = 0 has equal roots, then the value of k a) ±1 b) ±2 c) ±3 d) ±4 ​

Answers

Answer 1
Given:

• The equation 9y² + 6ky + 4= 0 has equal roots .

To find :

• The value of k.

Solution:

• As we know that , For equal roots :

• Discriminant must be equal to zero.

D = b²- 4ac = 0

Here ,

a= 9 , b = 6k , and c = 4 .

=> b²-4ac= 0

=> (6k)² - 4 (9)(4)=0

=> 36k² - 144=0

=> 36k²= 144

=> k²= 144/36

=> k²= 4

=> k = ±2.

Hence ,the option b is correct .

I hope it will help you.

Regards.


Related Questions

i need help i will mark

Answers

Answer:

[tex]-34.[/tex]

Step-by-step explanation:

[tex] - {4}^{2} + (5 - 2)( - 6) = \\ 16 + 18 = \\ -34. \\ \\ ♨Rage♨[/tex]

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

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the answer is D and i know cause i just did that and thats the answer

Answer:

d - the lines intersect,but are not perpendicular

Step-by-step explanation:

omg I know for a fact this is correct I took this test ....

your welcome!

A line has a slope of 2 and passes through the points (4,1) what is the equation in slope intercept form?

Answers

Answer:

y=2x-7

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

cuz

Can someone please help me

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Answer:

20

Step-by-step explanation:

It has 18 sides and 18 x 20 = 360...  

Please help! I'm in a hurry.

Answers

Answer:

13

Step-by-step explanation:

15 and 13 have the same angle because they are opposit each other on the intersection of both lines.

a group of kids ate ¾ of a pizza if each kid ate a ⅛ piece of the whole pizza how many kids shared the pizza?​

Answers

Answer:

6 kids ate pizza

Step-by-step explanation:

3/4 divided 1/8

Answer:

6 kids

Step-by-step explanation:

if each kid ate a 1/8 piece of the whole pizza => have [tex]\frac{3}{4}:\frac{1}{8}=6[/tex] (kids)

Sam is seven times as old as Tim.If Sam is 42 how old is Tim?

Answers

Answer:6 because 42/7=6

Step-by-step explanation:

Use the greatest common factor to write each answer in simplest form what is 3/4 • 2/3?

Help ASAP

Answers

Answer:

1/2

Step-by-step explanation:

Two students in Mrs. Albring’s preschool class are stacking blocks, one on top of the other. Reece’s blocks are 6 cm high, and Maddy’s blocks are 16 cm high. How tall will their stacks be when they are the same height for the first time?

Answers

Answer: 48cm

Step-by-step explanation:

6x8=48

16x3=48

48 cm tall their stacks be when they are the same height for the first time.

Here,

Two students in Mrs. Albring's preschool class are stacking blocks, one on top of the other. Reece’s blocks are 6 cm high, and Maddy’s blocks are 16 cm high.

What is Lowest common factor?

The least common multiple of two numbers is the smallest number that is a multiple of both of them.

Now,

To find how tall will their stacks be when they are the same height for the first time.

For this we have to find least common multiple of 6 and 16.

Hence, least common multiple of 6 and 16 = 48

So, 48 cm tall their stacks be when they are the same height for the first time.

Learn more about the least common multiple visit:

https://brainly.in/question/42715905

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A bird was flying 26 feet above a lake. It descended 28 feet to grab a fish. What integer represents the depth of the fish when the bird grabbed it

Answers

Answer:

it's -2

Step-by-step explanation:

just subtract ☺️

Answer:

-2

Step-by-step explanation:

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)

Ms. Chang fills gum and trinket machines in front of grocery stores. In the trinket machine, there are two types of trinkets: lockets and stickers. If Ms. Chang puts 15 lockets and 25 stickers in an empty machine, what is the ratio of stickers to all the trinkets in the machine?

Answers

Answer:

3:5

Step-by-step explanation:

the initial ratio is

15:25

we can divide both numbers by five though

15/5=3

25/5=5

3:5

I hope this helped :)

2. Roger's class as 35 students. 21 of the students are girls. What percent of the class are girls? Round
to the nearest whole number (Number before the decimal) if necessary.

Answers

im doing the same and need help  

Step-by-step explanation:

A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.

Answers

It would be 160% I think

12 divided by 18/25 is?!?!

Answers

Answer:

16.6

Step-by-step explanation:

12 divided by 18/25 is 16.66.

Given:

12 divided by 18/25

12÷18/25

12÷0.72

=16.66

What is division?

Division is one of the four basic operations of arithmetic, the ways in which numbers are combined to form new numbers. To divide rational expressions, multiply the first fraction by the reciprocal of the second. If we rewrite  division as the product of the first expression by the inverse of the second, we add them all and look for common factors.

The way  something is shared is called a sharing method. There are  three types of distribution methods according to the degree of difficulty. They are division method or division by repeated subtraction, short division method or bus stop method and long division method.

To learn more about division, refer;

https://brainly.com/question/21416852

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20 POINTS AND BRAINLIEST What is the value of x in this equation?
6x - 4(x - 9) = 2(3 - x)
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.

Answers

Answer:

x = -15/2 or -7.5

Step-by-step explanation:

6x - 4(x - 9) = 2(3 - x)

6x - 4x + 36 = 6 - 2x

2x + 36 = 6 - 2x

4x + 36 = 6

4x = -30

x = -30/4

x = -15/2

Check:

6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)

-45 + 66 = 2(10.5)

21 = 21

Answer:

[tex]-\frac{15}{2}[/tex]

Step-by-step explanation:

6x-4(x-9)=2(3-x)

6x-4x+36=6-2x (expansion)

2x+36=6-2x (collecting like terms)

2x+2x=6-36

4x=-30 (-30/4)

x=-[tex]-\frac{15}{2}[/tex]    

The sum of -3/8 and 2 2/3

Answers

Answer:

27/24 or (Decimal: 2.291667)

Step-by-step explanation:

Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10. 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145.

Answers

Answer:

D. He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

From the question: The following steps are given:

754 divided by 0.52.

754 = Dividend

0.52 = Divisor

Step 1

7540 ÷ 52

This is where he made his error,

He multiplied the divisor by 100 and the dividend by 10.

The correct step would be

To Multiply both the Divisor and the Dividend by 100

= 75400 ÷ 52

Option D is the correct option

Answer:

The answer is D

Step-by-step explanation:

Hope this helped! :)

i need help with this q7

Answers

Answer:

Yes, it is a proportional relationship!

Step-by-step explanation:

The graph is in a proportional relationship so the first one

NEED HELP PLZ! Will give brainliest, show all your work

Answers

6 bracelets and 3 necklaces = 108 in

he wouldn’t be able to use the full amount of cord so those are the most he could make

Please help I will give you brainliest. Look at the picture

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Answer:

1. 24 2. 64 3. 9 4. 11 5. 7 2/5

Step-by-step explanation:

help me plz thank you

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Answer:

9 momths =270 days

Step-by-step explanation:

9 month *30=270 days

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Answers

-10y+18 = -15y+21+57
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John is three times as old as mikayla. The product of there ages is 108. Find there ages.

Pleasseeeee help I rlly need it like now

Answers

Answer:

John: 18 years old

Mikayla: 6 years old

Step-by-step explanation:

Please see the attached picture for the full solution.

Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish

Answers

It would take her 20 or 19 days

hey if anyone understands do you you think you could help i'm struggling a little bit :(

Answers

Answer:

2x=18

x=9

Step-by-step explanation:

So, to start you subtract 12 from 30 to get 18.

then 18 divided by x gives you 9

so X=9

Answer:

2x = 18 and x = 9

Step-by-step explanation:

i've done it before so i know its right

1. If what you gain daily continues in this manner, how much gain can you expect at the end of the week?
2. Is your gain shows a pattern? If yes, find its general rul
3. Using the general rule, compute for your expected gain at the end of 30 days.

Answers

1 is the answer I think

A box contains 20 calculators, and two of them are defective. Three calculators are randomly selected from this box and inspected to determine whether each of them is good or defective. Is this experiment a binomial experiment? Why or why not? Explain your REASONING and provide EVIDENCE

Answers

Answer:It is a binomial experiment

Step-by-step explanation:

A binomial experiment is an experiment that has a fixed number of independent trials with only have two possible outcomes. This outcome could either be a yes or No.

example is when a coin is toss one can set it as either I will get a head or a tail.

The experiment is binomial because it has a fixed number of trial which is 3 calculator that has been picked,

It has two outcome which is either good or bad calculator and the each trial is independent of each other.

what type of number is -15

Answers

The answer is: Negative number

Answer:

an integer

Step-by-step explanation:

integers are whole number that includes positive number, negative numbers, and zero

Solve the system of equations -2x+3y=3 x-2y=2

Answers

Answer:

(-12, -7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

y=2x-3 in standard form. I’ll give brainliest if you answer it right. But hurry. It’s for my missing assignment.

Answers

Answer:

It would be 2x-y=3.

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