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

10) Choose the correct answer.
Simple Inequalities:



please help

Answers

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line

Answers

Answer:

the equation is x=-3

Step-by-step explanation:

no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line

Can someone please give me a free disney plus account

Answers

Answer:

Uh- I cant ;w;

Step-by-step explanation:

Answer:

yes I can if you still want one

Step-by-step explanation:

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

Answers

Answer:

10

BEEP

BPEE

BEPE

EEPB

EEBP

EBEP

EPEB

PBEE

PEEB

PEBE

Answer:

12

Step-by-step explanation:

4! is 4*3*2*1

since there were 4 letters 4 could be chosen at the first letter

since one of the letters were chosen only 3 could be chosen as the second letter

and then it is 2 because there are 2 letters left

and 1 because there is only 1 letter left

so 4!

Then you divide by 2 because the 2 es are indistinguishable

-2, -7, -12,-17, ...
find out the nth term​

Answers

Answer:  -42

Step-by-step explanation:

Add 5 to each number until you reach the ninth term.

Answer:

-42 is the ninth term

Step-by-step explanation:

You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:

-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)

Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?

Answers

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

dividing a faction by a fraction 3/5 divided 1/3​

Answers

(3/5) / (1/3) = 3*3/5*1 = 9/5 or 1 4/5

Answer:

9/5

Step-by-step explanation:

3/5 ÷ 1/3

3/5 ÷ 3/13/5 × 3/1 = 9/5

9/5

The solution of 12x+12=8x is?

Answers

Answer:

x = - 3

Step-by-step explanation:

Solve by isolating x on one side of the equation.

12x+12=8x

     -12    -12

12x=8x-12

      -8x

4x=-12

4x/4=-12/4

x = - 3

A line passes through the point (-6,6) and has a slope of 3/2.

Answers

Answer:

y=3/2x+15

Step-by-step explanation:

Answer:

y=3/2+15

Step-by-step explanation:

rrange the numbers in decreasing order.



a.

8.508

8.58

7.5

7.058

Answers

Answer:

8.58

8.508

7.5

7.058

Step-by-step explanation:

Answer:

8.58, 8.508, 7.5, 7.058

Step-by-step explanation:

Um, I think this means greatest to least.

8.58, 8.508, 7.5, 7.058

Look at the place values.

Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.

Answers

Answer:

Put 6 yellow unit tiles on the right side of the equal sign.

Step-by-step explanation:

Given the equation that Juanita wants to model expressed by the equation

3 x + 2 = -x + 6

If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6

We can as well calculate the value of x from the expression as shown;

3 x + 2 = -x + 6

collect like terms

3x+x = 6-2

4x = 4

Divide both sides by 4

4x/4 = 4/4

x = 1

Answer:

the answer is D put 6 yellow unit tiles

Step-by-step explanation:

i took the test review and test

Me after jumping in joy after I found out Netflix is facing criminal charges

Answers

lol same tbh even tho ion  have netflix anymore

A graph of a quadratic function is shown below.

What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)

Answers

Using it's concept, it is found that the vertex of the quadratic function is given by:

B (800, 10).

What is the vertex of a quadratic equation?

It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.

In this problem, it turns at x = 10 and y = 800, hence option A is correct.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

Step-by-step explanation:


1) 3/7 & -6/7 pls I need answers ​

Answers

Answer:

0.42 & -0.85

Step-by-step explanation:

Find the rate of change in the graph

Answers

Answer:

4/3

hope this helped :)

Fill in the blank for each part below.

1) The slope is...
A. zero
B. Undefined

2) The equation is...
A. y=-1
B. X=-1

Answers

these are the answers to both
1. A
2. A

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

Can someone tell this word please. Identify the vocabulary word that matches the picture. ​

Answers

Answer:

proably and acute angle

Step-by-step explanation:

acute angles are angles that are less than 90 degrees and the picture obviouly shows an angle that is less than 90

need points sorry. hope you get the help you need

Find the x-intercept of the graph of y = -10x - 36


The x-intercept is_____

Answers

The answer is 10 I think maybe

A kennel has 40 dogs and 10 cats. What is the ratio of cats to ALL of
the animals?

Answers

Answer:

1:5

Step-by-step explanation:

The correct answer is 40:10 or 4:1 rounded

Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12

Answers

The first answer choice should be parallel. This is due to opposite reciprocal slopes being parallel.

-4/7 + (-4/3) HELP ME

Answers

Answer:

-40/21

Step-by-step explanation:

(-4/7) + (-4/3) =

First you need to find a common denominator:

(-4/7)(3/3) + (-4/3)(7/7) =

(-12/21) + (-28/21) =

Then combine the two fractions:

(-40/21)

And because you cannot simplify further, you are finished.

Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6

Answers

Answer:

Examine the diagram. It is not drawn to scale.

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.

In the diagram shown, m∠1 = 30° and m∠5 = 120°.

What is the sum of the measures of ∠4, ∠5, and ∠6?

✔ 360

degrees

Identify the following angle measures.

m∠2 =  

✔ 60

degrees

m∠4 =  

✔ 150

degrees

m∠6 =  

✔ 90

degrees

Step-by-step explanation:

Examine the diagram. It is not drawn to scale.

In the diagram shown, mZ1 = 30° and m25 = 120°.

What is the sum of the measures of 24, 25, and 26?

4

1

2

5

on

degrees

Identify the following angle measures.

m22= v degrees

m24 =

v degrees

3

3

m26 =

v degrees

6

I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

m∠1 + m∠4 = 180° (sum of angles in a straight line)

30 + m∠4 = 180°

m∠4 = 150°

m∠2 + m∠5 = 180° (sum of angles in a straight line)

120 + m∠2 = 180°

m∠2 = 60°

m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)

30 + 60 +  m∠3 = 180°

m∠3 = 90

m∠3 + m∠6 = 180° (sum of angles in a straight line)

90 + m∠6 = 180°

m∠6 = 90°

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

Find out more on angle at: https://brainly.com/question/25770607

can someone help me on this question pretty please

Answers

Answer:

50 dollars an hour

Step-by-step explanation:

It is 50 dollars an hours .

What is the inverse operation of addition?

Answers

Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.

Step-by-step explanation:

Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

Adrian bought 20 chicken wings for $44.00. How much does each wing cost?

Answers

Answer:

my crushes name is Adrian but the answer is $2.20

Step-by-step explanation:

Which expressions are equivalent to 5 the power of 18

Answers

Answer:

3.8146973e+12

Step-by-step explanation:

you have to do 5x5 18 times to get this answer.

Answer:

The two on the top

NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)

Answers

Answer:

Step-by-step explanation:

7 ) -3p=-48

p=-48/-3

p=16

8) -98=7t

t=-98/7

t=-14

9) -4.4 y =-4

y=-4/-4.4

y=1.1

10) 2.8 c=4.2

c=4.2/2.8

c= 1.5

how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six

Answers

Answer:

C

Step-by-step explanation:

2-(p*6)

minus=the difference of

(p*6)=p times 6

Fully written out: The difference of two and p times six

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