For what value of k are the roots of the quadratic equation 3x² 2kx 27/0 real and equal * 1 point K 7 K 9 K 11?

Answers

Answer 1

The value of k where the roots of the quadratic equation are real and equal is k = 9.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 6 = 9 is an equation.

We have,

3x² + 2kx + 27 = 0

This is in the form of ax² + bx + c.

a = 3

b = 2k

c = 27

Now,

The roots are real and equal.

D = 0

D = b² - 4ac

Now,

b² - 4ac = 0

(2k)² - 4 x 3 x 27 = 0

4k² - 324 = 0

4k² = 324

k² = 324/4

k² = 81

k = √81

k = ±9

Thus,

The value of k is 9 0r -9

Learn more about equations here:

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Related Questions

Callie has 6 yards of green fabric and 4 yards of white fabric.

Callie gives 24 inches of green fabric to her sister. How may feet of green fabric does Callie have left? Show your work.

Answers

Answer:

16 feet left

Step-by-step explanation:

one yard = 3 feet

so:

6 yards = 18 feet

24 inches = 2 feet

18 feet - 2 feet = 16 feet

Jason is looking up at the light at the top of the lighthouse. The angle of elevation from Jason to the light is 34°. The height of the lighthouse is 217 feet. a) Draw the right triangle. Label the given information on the triangle. b) Label the sides OPP, ADJ, and HYP. PUT A BOX AROUND EACH LABEL. c) Determine the distance from Jason to the light. d) Round your answer to the nearest tenth. Show all work. ​

Answers

Answer:

6ix9ine

Step-by-step explanation:

Please someone help!!!!!!!
Assume all the figures are regular polygons. Can you find the angle measures of the angles indicated?

ppls give me answers to all of the letters

Answers

Answer:

a=108

b=90

c=120

d=42

e=135

f=15

g=60

h=45

i=75

j=60

Step-by-step explanation:

An ant crawls 11 feet in 9 minutes. How far can it crawl in 27 minutes and in 36 minutes? Enter your answers.

Answers

Answer:

33, 44

Step-by-step explanation:

11 feet in 9 minutes

27 minutes is 3 times as long as 9 minutes, meaning it would be 3 times as more feet. it would crawl 33 feet in 27 minutes.

36 minutes is 4 times as long as 9 minutes, meaning it would be 4 times as more feet. It would crawl 44 feet in 36 minutes.

One letter is selected from the word " UNNECESSARY" .Find the probability of (a)an 'R' (b)an'E' (c)an 'O' (d)a 'C

Answers

Answer: A. 1/11

B. 2/11

C. 0

D. 1/11

Hope this helps!

What is the next fraction in this sequence? Simplify your answer. 5/9, 9/36, 1/2 , 17 /36

Answers

i think it’s 1/2 but i’m not for sure

Evaluate the following: 17 - |(7)(-3)

Answers

the answer to this question is -4

Student has 64oz sunflowers seeds. He puts 1/4th oz into separate bags. How many bags will he fills?

Answers

Answer:

256

Step-by-step explanation:

1 oz will produce 4 bags each one with 1/4 of an ounce

64 oz will produce x

1/64 = 4/x              Cross multiply

x*1 = 64 * 4

x = 256  bags.

He will get 256 quarter ounce bags.

What is the sum of the interior angles of a 15-gon?

Answers

Answer:

2340 degrees

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, therefore the sum of interior angles of 15-gon will be 13×180=2340

A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a right hand sum with 4 intervals to approximate the total distance the particle travelled in the time interval [3, 13].

t: 3 7 10 12 13
v(t): 5 9 14 18 24

Answers

Step-by-step explanation:

3,13] has a span of 10

with 4 rectangles, each has width 2.5

So the distance is 2.5(f(5.5)+f(8)+f(10.5)+f(13))

You don't give the table, so if the given data points are unevenly spaced, that will have to be changed some.

what is the value of x​

Answers

Step-by-step explanation:

2x = x + 11

x = 11

It would be, 11, because 2x=x+11

CAN SOMEONE PLEASE HELP ME RIGHT NOW ASAP!!

Answers

Answer:   534

Step-by-step explanation:

an=a1+(n-1)d

Here,

d is the common difference

=>a2-a1=12-3=9

&  a1=3

a60=3+(60-1)9

a60=3+(59)*9

a60=3+531

a60=534

60th term is 534.

Answer:

60th term = 534

Step-by-step explanation:

The easier way:

3 + (60 -1) (9)

3 + (59) (9)

3 + (531) = 534

OR

The harder way:

3, 12, 21, 30, 39, 48, 57, 66, 75, 84, 93, 102, 111, 120, 129, 138, 147, 156, 165, 174, 183, 192, 201, 210, 219, 228, 237, 246, 255, 264, 273, 282, 291, 300, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 399, 408, 417, 426, 435, 444, 453, 462, 471, 480, 489, 498, 507, 516, 525, 534                                                 

Please let me know if this helps.

Pleassse solve! Will give brainliest!

Answers

Answer:

The set of points that lie in the mix of the shaded colors are the solutions to the inequalities.

Those points are,

(0,-6)

(-14,-15)

(-9,-10)

Answer:

Hey girly the answer is def 0,12 xoxoxo ;)

Jill used 3/4 of a jar for baking. how much honey did hse use baking explanation

Answers

Answer: 3/4

Step-by-step explanation:

This question is a straightforward question. Since we are already given the information that Jill used 3/4 of a jar for baking.

The quantity of honey that was used for baking will be 3/4 which can be seen in the question.

Help!! Il give brainlest to the right one

Answers

Answer:

Blue

Step-by-step explanation:

Answer:

multiply 6 on both sides

Step-by-step explanation:

you multiply 6 on both sides to get x by its self so your answer in total would be 21

What's the surface area of this triangular prism

Answers

Answer:

375m²

Step-by-step explanation:

Hope this helps! have a great day!

Tony's friends ate 0.6 of the appetizers he made. Which point on the number line best represents 0.6?

A. R
B. S
C. Q
D. P

Answers

It’s letter c, cause
P=0,4
Q=0,6
R=0,8
S=1,0


The number of points that Andrew scored in his last 10 basketball games are: 23, 21, 18, 21, 30, 19, 23, 15, 21, 19. Find the mode and range.

Answers

Answer: The mode is 21 and the range is 15

Step-by-step explanation:

The sum of the speeds of two trains is 724.3 miles per hour. If the speed of the first train is 11.7 mph faster than that of the second​ train, find the speeds of each.

Answers

Answer:

A=368 miles

B= 356.3 miles

Step-by-step explanation:

Given data

Let the two trains be A and B

A+B=724.3----------1

A-B=11.7--------------2

From eqn 1

A= 724.3-B

put this in place of A in eqn 2

724.3-B-B= 11.7

724.3-2B= 11.7

724.3-11.7= 2B

712.6=2B

B= 712.6/2

B= 356.3 miles

Put B=356.3 in eqn 1

A+356.3=724.3----------1

A= 724.3-356.3

A=368 miles

which of the following points are in the solution set to the inequality below? Select all that apply.
y<-4x+6

a: (4,3)
b: (-4,1)
c: (5,-2)
d: (-3,5)
e: (1,6)
f: (3,-6)

Answers

Step-by-step explanation:

a) 3<-4*3+6

3<-12+6

3<-6

which is false

b)1<-4*(-4)+6

1<16+6

1<22

which is true

c) -2<-4*5+6

-2<-20+6

-2<-14

which is false

d) 6<-4*1+6

6<10

which is true

f)-6<-4*3+6

-6<-12+6

-6<-6

which is false

I hope this helps.

Enter <, >, or = to make the
statement true.
9.98 [?] 9.099

Please help will mark brainliest

Answers

Answer:

<

Step-by-step explanation:

someone please help me with this I would really appreciate it (no files ) or (links) because it don’t work for me

Answers

Answer:

817.71

Step-by-step explanation:

Hi!

This involves applying trigonometry.

Because we are trying to figure out the height of Burj Khalifa, we are trying to find the length of AB. We already have CB, which is the adjacent side with respect to the angle. Then, AB would be the opposite side with respect to the angle given.

Remember SOH CAH TOA? Well, we have the adjacent and opposite sides involved in this, so we use the tangent function!

It will be as follows:

tan(73) = AB / 250

AB = (250)(tan(73))

AB = 817.71 meters

I just need help on 4​

Answers

Answer:

4) alternate interior angles theorem

Step-by-step explanation:

Solve the following quadratic equations using factoring.

C. X^2-10=9x

Answers

we can easily solve this one by splitting theiddle term

x2 - 9x -10

x2 -10x + x - 10

x(x - 10) 1( x - 10)

(x + 1) (x-10)

x = -1 or 10

PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR

Answers

Answer:

1. 3k=150

2. 50

Which of the following is the result of expanding? 4 8 17 18

Answers

Answer:

Please provide more details of the question

I don't think you've written the whole question correctly

Answer:

B. 8

Step-by-step explanation:

edge 2021

I need help please um..yeh

Answers

Answer:

John (15) Molly (19) Ross (12) Jill (16)

Yes I suck at math don't judge me.

What are the dimensions, a, b, and c, of the net?
13 cm
15cm
5cm
12cm

a = __cm
b = __cm
c = __cm

Answers

Answer:

a = ✔ 5 cm

b = ✔ 13 cm

c = ✔ 15 cm

Step-by-step explanation:

correct on edge 2021 assignment

have a good day

dont forget to stay hydrated and wear a mask in public places! <3

A laundry basket has 24 socks in it. Six were navy, 10 were black, and the remaining were white, What is the probability of drawing...

Answers

736I yeiiwywywuwiwo92772[^£\£\£\^€]18726368384>¥>

Answer:

7/12 for white sock. 5/12 black sock. 1/4 navy

Step-by-step explanation:

(white) 24-10=14 so then 14/24=7/12

(black) 10/24=5/12

(navy) 6/24=1/4

If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.

Answers

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

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