#BTS
#Bangtan
#BTS_Purple_Heart
Which of the following is a solution of x^2+6x=-18
We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things
The Standard Form of a quadratic equation is ax² + bx + c = 0 If D > 0 , then the equation have two real and distinct roots/zeroes . If D = 0 , then the equation have two equal roots/zeroes .If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real rootsWhere , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;
[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]
Now , coming back on the question ;
We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;
[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]
[tex]{: \implies \quad \sf D=36-72}[/tex]
[tex]{: \implies \quad \sf D=-18}[/tex]
As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]
[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]
A window in the shape of a parallelogram has the dimensions given.
What is the area of this window?
20 ft²
24 ft²
28 ft²
40 ft²
i'll give brainlyist
Answer:
The answer is c, 28 ft! brainliest pls lol
Answer:
20ft
Step-by-step explanation:
I did the quiz and got it right :> (K12)
A pair of Descartes jeans costs $120. If the tax is 13%, how much does the pair of jeans cost including tax?
Answer:
$135.60
Step-by-step explanation:
120*13%=15.6
15.60+120.00=$135.60
CAN SOMEONE PLZ HELP ME WITH THIS 1 QUESTION!?!
no because you wouldn't switch the fraction upside down to make it opposite.
Answer:
What Doug probably means to say is that the reciprocal of -2/5 is 5/-2. So, by this definition, Doug would be correct. However, you would not usually call it the "opposite" of a number, rather, the reciprocal.
The numbers are reciprocals of the other as their product is equal to one "-2/5 * 5/-2 = 1"
a pair of boots were $45 they were on sale for $38.25 what percent were they off
Answer:
15% off
Step-by-step explanation:
Answer:
17.2% off
Step-by-step explanation:
45/100 = 0.45
0.45 x 38.25 = 17.2%
four billion, five hundred and seventy million. write this number in figures
Answer:
4,575,000,000
Step-by-step explanation:
Answer:
It's 4,570,000,000.
Step-by-step explanation:
The first guy had a typo right after the 7.
what is the area of the composite figure
Answer:
132cm
Step-by-step explanation:
Pls i gat no idea :/
Answer:
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2 where r is the radius of the circle and (h,k) is the coordinates of the center of the circle. We can see that the radius is 3 units and we are given the location of the center as (-3,1) so
(x+3)^2+(y-1)^2=9
what fraction repsents 0.64
Answer:
64/100 = 16/25
Answer:
0.64 in fraction
= 64/100 = 16/25
because each decimal equal to one zero
hope it helps
Write the equation of the line in fully simplified slope-intercept form?
Answer:
ok
Step-by-step explanation:
Answer:
y=-1/2x-1
Step-by-step explanation:
circus has 20 performers, of which 6 are dancers.
What is the probability that a randomly selected performer will be a dancer?
Write your answer as a fraction or whole number.
Answer: 1/4
Step-by-step explanation:
Hayley took a total of 9 quizzes over the course of 3 weeks.After attending 7 weeks of school quater,how many quizzes will hayley have taken in total
Answer:
21 quizzes
Step-by-step explanation:
3 quizzes per week 9÷3=3
7 weeks = 3×7 so 21 quizzes
Answer:
21 quizzes
Step-by-step explanation:
What we know:
- Hayley takes 9 quizzes in 3 weeks
What we want to find:
- The number of quizzes Hayley would've taken after 7 weeks
We need to first find the number of quizzes Hayley would take in 1 week and then multiply that number by 7. To find the number of quizzes per week, divide 9 by 3:
9÷3=3
Therefore, every week, Hayley takes 3 quizzes.
Now, we multiply 3 by 7:
3×7=21
Therefore, after attending 7 weeks of school, Hayley would've taken 21 quizzes in total.
I hope this helps!
please help me asap!!!!
I can't see them clearly....
Anyone knows this one ?
Answer:
looks like it might be 4 but I'm not a 100% sure
hello pls help besties (o˘◡˘o)
Select the graph of the quadratic function g(x) = 1/4x^2. Identify the domain and range
given the following in a right triangle the hypotenuse is 200 cm and one of the legs is 45cm what is the lenght of the other leg
A: 194.9 cm
B: 12.4 cm
C: 155 cm
D: 245 cm
Step-by-step explanation:
Hence the length of other side is 194.87 I.e.194.9 cm
Find the value of x
I tried to solve, but ny answer did not make any sense do Im not sure how to ;-; Some help would be lovely :)
Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
Help needed on this question
i’ll give brainliest please help!!!
Answer: The third one.
Step-by-step explanation: The hottest time of the day is around 3 p.m. Heat continues building up after noon, when the sun is highest in the sky, as long as more heat is arriving at the earth than leaving.
Answer: All of them
Step-by-step explanation: I think zll of them
a) 10 - 3(2a + 3) + 4(a - 6)
Simplify
Answer:
-2a - 23
Step-by-step explanation:
10 - 3(2a+3) + 4(a-6)
10-6a-9 + 4(a-6)
10-6a-9 + 4a - 24
-23-6a+4a
-23-2a
Therefore, -2a - 23 is the answer
URGENT HELPPP !!!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
(8,-3)
Step-by-step explanation:
I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.
Hope this helps!
17x(8-5)x5 plz help me by solving this plz
Answer:
255
Step-by-step explanation:
so you first do the bracket so 8- 5 = 3
then 17 × 3 =51
and 51× 5 = 255
PLEASE HELP ME ASAPPPP
Answer:
The answer is
90 degrees the first one is I don't know about the rest sorry
Step-by-step explanation:
SOMEONE HELP PLS i mark the brainliest
Answer:
Step-by-step explanation:
UWV is a 30°-60°-90° triangle.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2
The length of the side opposite the 90° angle is 10,
so the length of the side opposite the 30° angle is 5
and the length of the side opposite the 60° angle is 5√3
3. Reason quantitatively. A figure has vertices P(-3, 1), Q(9, 1), R(3, —7), and S(-9, -7).
a. What is the most specific name that can be given to PQRS? Explain how you know.
b. Find PQ, QR, RS, and SP.
c. What is the perimeter of quadrilateral PQRS?
d. What is the area of quadrilateral PQRS?
HELP ME ASAP
In the following diagram overline DE || overline FG and overline KL perp FG. What is the measure of angle x?
Angle x = _____°
Given:
DE||FG and KL is perpendicular to FG.
To find:
The measure of angle x.
Solution:
If two lies intersect each other, then vertical opposite angles are equal.
[tex]m\angle ACB=63^\circ [/tex] (Vertically opposite angles)
[tex]m\angle BAC=x^\circ [/tex] (Vertically opposite angles)
KL is perpendicular to FG.
[tex]m\angle ABC=90^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle ABC+m\angle BAC+m\angle ACB=180^\circ[/tex]
[tex]90^\circ+x^\circ+63^\circ=180^\circ[/tex]
[tex]x^\circ+153^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-153^\circ[/tex]
[tex]x^\circ=27^\circ[/tex]
Therefore, the measure of angle x is 27 degrees.
Find the volume of the figure. Round to the
nearest tenth.
1,286.1 units
401.9 units
5,144.6 units
128.6 units
Answer:
1,286.1 units is the answer
Step-by-step explanation:
your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635
volume formula: V=πr^2h
so π*6.4^2*h
π*40.96*10
3.14*409.6
1,286.144
round
1,286.1
Which of the following does not have any dimension?
Question 7 options:
A)
Line
B)
Ray
C)
Line segment
D)
Point
Answer:
D
A point has a dimension of 0.
Hope this helped!
A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?
1 over 12
1 ninth
3 sevenths
3 forth
Answer:
c wich is sevenths
Step-by-step explanation:
The probability the teacher that chooses a girl to write the date on the board is :
C) 3 sevenths.
"Probability"
Given:
Boys =12
Girls =9
Total number of students = 12 + 9 = 25.
So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]
This is close to 3 sevenths.
Learn more about probability:
https://brainly.com/question/25870256