Answer:
When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.
If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]
a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
In this case, we say that the roots are imaginary.
Learn more about quadratic equations;
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pls help ill give 15 brainliest and 5 starts question is down below
Answer:
1 is 9 sq units
2 is 12
3 is 24cm^2
Step-by-step explanation:
please help i am confused.
Answer:
12.16 inches.
Step-by-step explanation:
Use pythagoras thereom since they are right angle triangles. A² = c² - b².
For NP triangle:
10² - 4² = 84. square root of 84 is 9.165.
For MN triangle:
5² - 4² = 9. square root of 9 is 3.
finally, add them up:
3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.
The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?
a. 30
b. 48
c. 54
d. 60
Answer:
54 seats
Step-by-step explanation:
To make it easier, I'll put it like this.
Row | Seats
1 | 24
2 | 30
3 | 36
4 | 42
5 | 48
6 | 54
(Add 6, because each row has 6 more seats than the row in front of it.)
So, the 6th row has 54 seats.
Hope this helped !
Sam has a cylindrical storage container 7 inches tall with a radius of 5 inches. How much cat litter will fit in the container? Round your answer to the nearest tenth.
Answer:
549.8 inches³
Step-by-step explanation:
Volume of Cylinder = height × base, where base = [tex]\pi[/tex]r².
The radius (r) is given, 5 inches, and so is the height, 7 inches.
We simply substitute these values into the equation.
V(volume) = 7 × [tex]\pi[/tex] × 5²
= 175[tex]\pi[/tex]
= 549.77871437821...
when we round that to the nearest tenth,
≈ 549. 8
Which expression is equivalent to -9k-3-9k-4−9k−3−9k−4?
-25−25
-7-18k−7−18k
-25k−25k
-12k-13−12k−13
What is the sum of 5 times a number and 7 is 2
Answer:-1
Step-by-step explanation:
5x+7=2
5x=5
X=1
In ΔNOP,the measure of ∠P=90°, NP = 16, ON = 65, and PO = 63. What ratio represents the cosecant of ∠N?
Answer: 65/63
Step-by-step explanation:
The cosecant of angle N is the reciprocal of the sine of angle N.
Using SOHCAHTOA, the sine of angle N is 63/65.
This means that the cosecant of angle N is 65/63.
Help me understand how to do this please. (?)
Step-by-step explanation:
part 1: the exponent is the power or the number you see ontop of n. it indicates how many times n is multiplied by itself. so for the first question n is multiplied by itself 6 times. so the answer should be n×n×n×n×n×n.
part 2 is similar to part 1.
since there is a total of 6 ns we can say that it is n^6.
feel free to ask if you need any further guidance.
What is the measure of angle x? Show work.
Answer:
x = 67° (nearest whole degree)
Step-by-step explanation:
Sine Rule
[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]
where A, B and C are the angles, and a, b and c are the sides opposite the angles
Given information
From inspection of the triangle:
A = 38°a = 12B = x°b = 18Finding x:
Substitute given values into the formula and solve for x:
[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]
[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]
[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]
[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]
[tex]\sf \implies x=67.44208077...[/tex]
Final Solution
x = 67° (nearest whole degree)
Answer:
∠x = 67°
Step-by-step explanation:
From the Law of Sines,
we know that :
sin(A) / a = sin(B) / aHere we have :
a = 12b = 18∠A = 38°∠B = x°On substituting,
sin38° / 12 = sinx° / 18sinx° = 3/2 x sin38°x = 3/2sin38° x sin⁻¹∠x = 67°Jade wants to build a raised garden bed in her backyard. The garden measures 9 feet in length by 6 feet in width by 4 feet in depth. The cost to purchase soil to fill the raised garden bed is $12 per cubic yard. How much will it cost to purchase soil for Jade’s raised garden?
Answer:
$864
Step-by-step explanation:
Stella's monthly bank statement showed the following deposits and withdrawals: − −$34.71, − −$100.08, $111.62, $92.93, − −$27.27 If Stella's balance in the account was $20.1 at the beginning of the month, what was the account balance at the end of the month?
Answer: $ 27.27
Step-by-step explanation:
Answer:
62.59
Step-by-step explanation:
How many different triangles can you make if you are given the measurments or two sides an angle that is not between those two sides
Answer:
2.
Step-by-step explanation:
This is called the ambibuous case where 2 sides are given and angle opposite one of these sides.
2 traingles are possible.
Scale word problem
Someone please help me!!
Answer:
38.4 km
Step-by-step explanation:
Use a proportion.
1 cm is to 12 km as 3.2 cm is to x km.
1/12 = 3.2/x
1 × x = 12 × 3.2
x = 38.4
Answer: 38.4 km
Koalas weigh 6 kilograms on average. how many cells are in the average koala.
SOMEONE PLEASE HELP I WILL GIVE 5 STARS AND BRAINLIEST! fill in the table using this function rule. y= 4x - 4
x- 1,3,5,10
y- blank
Answer:
(x=1, y=0), (x=3, y=8), (x=5, y=16), (x=10, y=36)
Step-by-step explanation:
You just plug the x into the equation. And then BAM the answer is right.
Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)
Answer:
x= 4
y= 9
so in that case (x,y) would be (4,9)
then you go down to the x axis and go to 4.
then you go up 9 and that is your first point
same thing for the rest of them so it would be (6,3)
(1,3)
(8,7)
(8,9)
The graph of g is a translation 2 units left of the graph of f(x) = x−−√x. What is the domain of g? A. all real numbers B. x ≥ −2 C. x ≥ 0 D. x ≥ 2
4 units left means change in x
y=x√x+2So
Solve for domain
x+2≥0x≥-2Domain=[-2,oo)Option A
The domain of g is x ≥ -2, which is option B.
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that,
the graph of g is a translation 2 units left of the graph of f(x) = x√x.
When f(x) is translated k units to the left, the new function will be f(x + k).
So the new function g is,
g(x) = (x + 2) √(x + 2)
In order for the function to be defined, the part inside the square root must be greater than or equal to 0.
x + 2 ≥ 0
x ≥ -2
Hence the domain is x ≥ -2.
Learn more about Translation here :
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Visible light waves that our eyes see as the color red have a wavelength of about 6.7 x 10-7 meters. What is the frequency of these waves? The speed of light is 3.0 x 10 8 m/s. [v = 1f]
The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]
What is wavelength?Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.
How to calculate frequency.Mathematically, the frequency of a wave is given by this formula:
[tex]F = \frac{V}{\lambda}[/tex]
Where:
F is the frequency of a wave.V is the speed of a wave.[tex]\lambda[/tex] is the wavelength of a wave.Substituting the given parameters into the formula, we have;
[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]
Read more on frequency here: https://brainly.com/question/19250621
reflect the shape A in the line
x=1
What are the coordinates of the vertices of the image?
its for a maths test!!!!!!!!!!!!!!!!!!!!!!!!!!
correct answers to be awarded brainley
.
i dont knowkkkkkkkkkkkkk
Julia starts April with a credit card balance of $300 because she was not able to make the full
payment for March.
During April, she makes the following purchases:
April 10 - $250 for groceries.
April 18 - $800 for a new phone
April 23 - $80 for a birthday present for her brother
Calculate the Average Daily Balance given that there are 30 days in April. You will need to
divide April into four sets of days.
disclaimer: I'm not 100% sure if this is correct
Answer:9.66, or 10 if you rounded it up
Step-by-step explanation:I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0
I hope this helps! if not, i am deeply sorry, friend.
,SivethTheDragon
The Average Daily Balance for Julia's credit card in April is approximately $846.33.
Here, we have,
To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:
Set 1: April 1 to April 9 (9 days)
The balance remains at $300 because no purchases were made during this period.
Set 2: April 10 to April 17 (8 days)
Julia makes a purchase of $250 for groceries on April 10.
Therefore, the balance for these 8 days is $300 + $250 = $550.
Set 3: April 18 to April 22 (5 days)
Julia makes a purchase of $800 for a new phone on April 18.
Therefore, the balance for these 5 days is $550 + $800 = $1350.
Set 4: April 23 to April 30 (8 days)
Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.
To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:
(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days
= ($2700 + $4400 + $6750 + $11440) / 30
= $25390 / 30
= $846.33 (rounded to the nearest cent)
Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.
To learn more on division click:
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Please help me yall I am so done with hw
Cities are pretty far from each other so you would have to use miles
Answer: the answer is d which is Miles .
Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .
how to tell if something is cubed or squared being ft^3 or ft^2
Answer:
Check the power
Step-by-step explanation:
You can tell if a quantity has been cubed or squared by looking at its power.
For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape
Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape
===========================================================
If something is squared, it's multiplied times itself 2 times.
Example:-
[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]
You should also notice that the exponent of 4 is 2.
So if something is squared, its exponent is 2.
If something is cubed, it's multiplied times itself 3 times.
Example:-
[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]
You should also notice that the exponent of 4 is 3.
So if something is cubed, its exponent is 3.
=======================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Is my answer correct?
Answer:
No, not all of them are correct.
Step-by-step explanation:
The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT
help!!
For what value of x is the value of the square of the binomial 2x +3
is 9 greater than the value of the square of the binomial 2x -3?
Answer:
x = 3/8
Step-by-step explanation:
The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.
a² -b² = (a -b)(a +b)
For the given squares, this is ...
(2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x
We want to find x that makes this difference be 9:
24x = 9
x = 9/24 = 3/8
For the value x = 3/8, the difference between the squares of the binomials will be 9.
What is 6
4
-237
-
?
10
A. 3.
C. 3
19
20
5
B. 3
D. 4
10
10
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6\dfrac{1}{4} - 2\dfrac{3}{10}}\\\\\mathsf{\rightarrow \dfrac{6\times4+1}{4} - \dfrac{2\times10+3}{10}}\\\\\mathsf{\rightarrow \dfrac{24 + 1}{4} - \dfrac{20 + 3}{10}}\\\\\mathsf{\rightarrow \dfrac{25}{4} - \dfrac{23}{10}}\\\\\mathsf{\rightarrow \dfrac{79}{20}}\\\\\mathsf{\approx 3\dfrac{19}{20}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option\ C. \ 3 \dfrac{19}{20}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made
Answer:
120
Step-by-step explanation:
The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:
[tex]\frac{10!}{3!(10-3)!}=120[/tex]
This means that you can make 120 three-vegetable plates
Would a compound event involving a standard number cube and a spinner be dependent or independent?
Since the result of the number cube and the result of the spinner do not effect each other, the events are independent.
What are dependent and independent events?When one trial affects the next trial, the events are called dependent. One example is taken a card without replacement from a standard deck, as in each trial, the number of cards remaining decreases, hence the probabilities are affected.When there is no effect of one trial on another, the events are called independent.In this problem, the result of the number cube does not affect the result of the spinner, as they are rolled separately, hence the events are independent.
More can be learned about independent events at https://brainly.com/question/14478923
solve: 15x = 180.75
please and thanks
Answer:
x = 12.05
Step-by-step explanation:
Given:
15x=180.75
Divide both sides by 15
15x 180.75
------ = --------
15 15
x = 12.05
Hence, x = 12.05
~lenvy~
Answer:
12.05
Step-by-step explanation:
Divide both sides by the same term
15x/15 = 180.75/15
180.75/15
= 12.05
Hence, x = 12.05
Check Answer:
15(12.05) = 180.75
[RevyBreeze]
Damian needs to buy 5 pints of juice but the store doesn't sell juice in pints, so damian buys 3 quarts of juice. does damian buy enough juice if not how much more does he have left or need to have enough?
Answer:
Damain has bought enough juice.
Step-by-step explanation:
1 qt(quart) = 2 pints.
3 qt = 6 pints.
6 pints > 5 pints (6 pints is bigger than 5 pints)
Therefore, Damain has bought enough juice.
Please mark as brainliest!
Eliminate the parameter to complete the statements describing the equations
x = 3cos(t) - 2 and y = 2sin(t) + 1.
The rectangular form of this equation is
A. 4(x + 2)2 + 9(y – 1)2 = 36
B. 9(x + 2)2 + 4(y - 1)2 = 36
C. 4(x - 2)2 + 9(y + 1)2 = 36
D. 9(x - 2)2 + 4(y + 1)2 = 36
The equations represent a/an
Answer:
A
ellipse
Step-by-step explanation:
Answer:
1.) The rectangular form of this equation is (A)
.2.) The equations represent a/an (ellipse)
.
Step-by-step explanation:
Edge 2022