Answers
Answer:
The equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-
Step-by-step explanation:
According to the statement, we have a second order polynomial of the form [tex]A\cdot x^{2}+ B\cdot x + C = 0[/tex], whose solutions can be found by Quadratic Formula:
[tex]x_{1,2} = \frac{-B\pm \sqrt{B^{2}-4\cdot A\cdot C}}{2\cdot A}[/tex] (1)
Where [tex]A[/tex], [tex]B[/tex] and [tex]C[/tex] are the coefficients of the polynomial.
If roots are conjugated complex numbers, then:
[tex]B^{2}-4\cdot A\cdot C < 0[/tex] (2)
[tex]B^{2} < 4\cdot A \cdot C[/tex]
If we know that [tex]A = 1[/tex], [tex]C = 2[/tex] and [tex]x_{1,2} = -1\pm i[/tex], then we find that:
[tex]-1\pm i = -\frac{B}{2}\pm \frac{\sqrt{B^{2}-8}}{2}[/tex]
[tex]-2 \pm i\,2 = -B \pm \sqrt{B^{2}-8}[/tex]
By comparing each side, we have the following system of equations:
[tex]-B = -2[/tex] (3)
[tex]\sqrt{B^{2}-8} = 2[/tex] (4)
Whose solution is [tex]B = 2[/tex].
In a nutshell, the equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-
Related Questions
Which describe the solution set of the given system? Check all that apply.
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary curves.
The boundaries of the overlapping region are in the solution set.
The boundary curves intersect at approximately
(–3, 0).
Answers
Answer: 1,3,5
I got them right on my assignment
Option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have two inequality:
x² - 9y² < 9
y > 2×
After plotting on the graph:
From the graph:
The correct options are:
The solution set is unbounded
There is one point of intersection of the boundary curves.
The boundary curves intersect at approximately (-3, 0).
Thus, option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
answer you get brainliest and POINTS NO FILES
Answers
Answer:
hiii <33
Step-by-step explanation:
Tara has 4 and 4 over 5 feet of rope.
Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
I already got part a correct but I need help with part b, I don't understand it cause I'm d u m b pls help
Answers
9514 1404 393
Answer:
A) 12 pieces
B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope
Step-by-step explanation:
A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12
Tara can cut 12 pieces from the rope.
__
B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"
It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.
_____
Comment on the question
This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.
Please help I will give brainliest!
Answers
Answer:
1. 74.6° = m∠C 65.4° = m∠A a = 2.83
2. Triangle does not exist
Step-by-step explanation:
1. Use the law of sines to find m∠C
sin 40/2 = sin C/3
3sin 40/2 = sin C = .96418...
arcsin .96418... = 74.6° = m∠C
m∠A = 180 - 40 - 74.6 = 65.4°
a/sin 65.4 = 2/sin 40
a = 2 sin 65.4/sin 40 = 2.83
2. sin 95/4 = sin C/5
5sin 95/4 = sin C = 1.2452... which is impossible since the cosine of an angle is ≤ 1
Trent made a scale drawing of a community college. The scale of the drawing was
9 millimeters = 1 meter. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Answers
Answer:
9/1000
Step-by-step explanation:
Because 1 m = 1000 mm, the scale factor is 9/1000
2.(03.01 LC)
which expression is equivalent to 21 + 49? (5 points)
O 7(3 + 49)
7(3 + 7)
7(14 + 42)
7(14 + 49)
30302 MC)
Answers
7(3 + 7)
Why:
7x3=21
7x7=49
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
-2x=12
x=-6
2) What is the area of the figure?
Answers
Answer:
9+7+4+5= 25
Step-by-step explanation:
add up everything then get ur answer
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
∠TSQ and ∠UVX
Step-by-step explanation:
Find the lowest common multiple of 30
and 40
Please
Answers
Answer:
120.
Step-by-step explanation:
The Least common multiple of 30 and 40 is 120.
Answer:
The lowest common multiple of 30 and 40 is 120
Seven added to a number, b
Please help
Answers
Answer:
Step-by-step explanation:
7 + b
Hope that helps... I couldn't really figure out what you were asking :)
find the absolute value of -5 1/6
brainliest to right answer
Answers
Answer:
The absolute value is 5 1/6
Step-by-step explanation:
The absolute value is how far away an answer is to zero so we just take away the negative for this question.
..................................... help pls
Answers
Answer:
A
Step-by-step explanation:
A is the height since it shows the dotted line from top to bottom and B and C are slanted.
Answer:
Option AIs correspond line
Help I don’t know what to do
Answers
Answer:
x=8
Angle DBC=32
Step-by-step explanation:
-DBC= ABC-ABD= 55-23=32
-4x=DBC=32
x=32/4=8
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answers
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
how much does a bike with an acceleration of 2ms^-2 take to increase it's velocity from 10ms^-1 to 30ms^-1? help!! with explainations and show the work, if possible. thank you!
Answers
Step-by-step explanation:
use the formula:
[tex]v = u + at[/tex]
v = 30 [final velocity]
u = 10 [initial velocity]
a = 2 [acceleration]
solve for t [time]
show how you got your answer
Answers
make km to m. km to m is 1,000
so 5.2 x 1,000
Find the value of x in the triangle shown below.
a.164
b.2
c.6
d.80
Answers
Answer:
C. 6
Step-by-step explanation:
According to Pythagprean theorem 10^2 = x^2 +8^2
100 = x^2+ 64 subtract 64 from both sides
36 = x^2
6 = x
PLS HELP NEED THIS IN AN HOUR PLS NO LINKS
Write an equation to find the width of the rectangular prism. Show your work.
Answers
Answer:
the equation is W=V / ( L×H)
note write it as a fraction V in neomarater and L×W in denomenator
Step-by-step explanation:
V=L×W×H
6336=18×16×W
W×288=6336
W=6336 ÷288
W=22 cm
Which equation represents 3/8 less than 7/8 of a number?
A. 3/8 -7/8n
B. 3/8n - 7/8
C. 7/8n-3/8
D. (7/8-3/8)n
Answers
Am sure its D
Below are two parallel lines with a third line intersecting them
Answers
Answer:
its 122
Step-by-step explanation:
just did it on khan academy
help for brianly plzzzzzzzz
Answers
Answer:
find the are of the base times the height
Step-by-step explanation:
Which ordered pair represents a solution? *
A (0,2)
B (1,3)
C (3,1)
D (26)
Answers
rule y = x - 3
plz help me :(
Answers
#CarryOnLearning
#NoToCopyPaste
Correct me if im wrongIts base on my understanding
For brainly user:Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste
Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you
Please dont delete this:((
Find the missing angle in the triangle,
x°
36°
111°
Answers
Answer:
33°
Step-by-step explanation:
you add the two numbers together and subtract from 180° to get your answer
Solve 7x- c = k for x
Answers
Answer:
D
Step-by-step explanation:
I know the answer is D because I set the equation to be equal to x.
First, I added c to both sides. The equation looked like: 7x=k+c
Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7
In conclusion, the answer is D. x=k+c/7
A triangle has two sides with lengths 7 m and 12 m. Which of the following lengths could represent the length of the third side? *
1 point
4 m
19 m
17 m
2 m
Answers
Answer:
i think its 17
please rate and leave a like :-)
69 divided by 1/4 as a fraction
Answers
Answer:
17.25
Step-by-step explanation:
Find y.
1)6.76
2)7.54
3)18.55
4)29.83
Answers
9514 1404 393
Answer:
(c) 18.55
Step-by-step explanation:
The law of sines tells you ...
y/sin(106°) = 15/sin(51°)
y = 15×sin(106°)/sin(51°)
y ≈ 18.55
_____
The same kind of proportion can find x:
x = 15×sin(23°)/sin(51°)
x ≈ 7.54
Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.
What is the area of the shaded segment shown ? Please help me solve this
Answers
Answer:
area of sector - area of triangle
90/360×22/7×9×9 - 1/2×9×9
=63.64-40.5
=23.14
ans=23.14 squared inch