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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Evaluate the following: 17 - |(7)(-3)
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.
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
CAN SOMEONE PLEASE HELP ME RIGHT NOW ASAP!!
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.
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
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.
someone please help me with this I would really appreciate it (no files ) or (links) because it don’t work for me
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
One letter is selected from the word " UNNECESSARY" .Find the probability of (a)an 'R' (b)an'E' (c)an 'O' (d)a 'C
Answer: A. 1/11
B. 2/11
C. 0
D. 1/11
Hope this helps!
What's the surface area of this triangular prism
Answer:
375m²
Step-by-step explanation:
Hope this helps! have a great day!
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.
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
Which of the following is the result of expanding? 4 8 17 18
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 just need help on 4
Answer:
4) alternate interior angles theorem
Step-by-step explanation:
Student has 64oz sunflowers seeds. He puts 1/4th oz into separate bags. How many bags will he fills?
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.
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)
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
Answer:
<
Step-by-step explanation:
what is the value of x
Step-by-step explanation:
2x = x + 11
x = 11
Help!! Il give brainlest to the right one
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
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.
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
Solve the following quadratic equations using factoring.
C. X^2-10=9x
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
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...
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
What is the sum of the interior angles of a 15-gon?
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
I need help please um..yeh
Answer:
John (15) Molly (19) Ross (12) Jill (16)
Jill used 3/4 of a jar for baking. how much honey did hse use baking explanation
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.
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
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
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:
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
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
An ant crawls 11 feet in 9 minutes. How far can it crawl in 27 minutes and in 36 minutes? Enter your 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.
What is the next fraction in this sequence? Simplify your answer. 5/9, 9/36, 1/2 , 17 /36
Pleassse solve! Will give brainliest!
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 ;)
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.
Answer:
6ix9ine
Step-by-step explanation:
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. 3k=150
2. 50
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.
Answer: The mode is 21 and the range is 15
Step-by-step explanation: