Answers
By Quadratic Formula factors of [tex]a^2+4b^2[/tex] are [tex](a+2bi),(a-2bi)[/tex].
What is Quadratic Formula?The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic equation. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.
The following general quadratic equation is given:
[tex]ax^2+bx+c=0[/tex]
The quadratic formula is:
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}, \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex];
where x stands for an unknown, a, b, and c are constants, and a≠0.
Each of these two answers is also referred to as a quadratic equation root (or zero). These roots, which are clearly stated as [tex]y = ax^2 + bx + c[/tex], are the x-values at which any parabola crosses the x-axis geometrically.
Calculation:Given;
[tex]y=a^2+4b^2;\\[/tex]
By comparing this with general equation [tex]x=a,a=1,b=0,[/tex][tex]c=4b^2[/tex]
By substituting in the formula;
[tex]x=\frac{-0+\sqrt{(0)^2-4(1)(4b^2)} }{2(1)} =2bi\\(or) x=\frac{-0-\sqrt{(0)^2-4(1)(4b^2)} }{2(1)} =-2bi[/tex]
That gives us;
[tex]y=(a+2bi)(a-2bi)[/tex]
By Quadratic Formula factors of [tex]a^2+4b^2[/tex] are [tex](a+2bi),(a-2bi)[/tex].
To refer more about Quadratic Formula, visit:
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Related Questions
a little help would be nice here pls
Answers
Answer:
11). 3x² -x 12). -5x + 5
Step-by-step explanation:
11). (4x² + x) - (x² + 2x)
4x² + x - x² - 2x
4x² - x² + x - 2x
3x² -x
12). (6x - 3) - (11x -8)
= 6x - 3 - 11x + 8
= 6x - 11x - 3 + 8
= -5x + 5
An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?
Answers
Answer:
$15.43
Step-by-step explanation:
$14.55 x 1.06 = $15.423
Mr. And Mrs. Griffin hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $8,500 to her education?
Answers
Answer:
$2,385.75 = P
Step-by-step explanation:
In order to calculate this we need to use the following compound interest formula and solve for the initial investment amount which is P.
A = P (1 + r/n) (nt)
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested or borrowed for
If we plug in the values provided in the question which is compounded once per year we would get the following equation which we can solve for P.
8500 = P (1 + (0.095/1))^(1*14)
8500 = P (1.095)^(14)
8500 = P (3.56285)
2,385.75 = P
Mr. and Mrs. Griffen need to invest $2,385.75 now for 14 years in order to contribute a total of $8,500
Equivalent representations of percent problems
Answers
Answer:
A. 80/100×22D. 0.8×22E. 4/5×22Explanation:
80/100×22 = 1760/100 = 17.60.8×22 = 17.64/5×22 = 88/5 = 17.617.6 is 80% of 22
What is the distance between ( 7, -1) and ( 7, -5) and why?
I will give branily to whoever is right
Answers
Answer:
The distance is 4
Step-by-step explanation:
Given:
x1 = 7
x2 = 7
y1 = -1
y2 = -5
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(7-7)^2+(-5+1)^2}\\\\d=\sqrt{(0)^2+(-4)^2} \\\\d=\sqrt{0+16} \\\\d=\sqrt{16} \\d=4[/tex]
Answer:
4 units
Step-by-step explanation:
the distance between two points is given by,
[tex]D = \sqrt{{(x_{1}-x_{2})}^{2} + {(y_{1}-y_{2})}^{2} } \\x_{1}=7; x_{2}=7; y_{1}=-1; y_{2}=-5\\D=\sqrt{{([7]-[7])}^{2} + {([-1]-[-5])}^{2} }\\D=\sqrt{{(0)}^{2} + {(4)}^{2} }\\D=\sqrt{0 + 16 }\\D=\sqrt{16}\\D=4[/tex]
Marcus ran a 10-Kilometer race in 50 minutes. If Marcus maintains that same pace, how many kilometers can Marcus run in 1 hour?
Answers
Answer:
markus could run 12 kilometers in an hour
Step-by-step explanation:
29/1000
The fraction can be written as which decimal?
1,000
A)
0.0029
B)
0.029
0.29
2.9
Answers
You would divide 29 into 1000 in a calculator and you get that as your decimal
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Answers
Answer: 3/4x - 1/2x -4=12
1/4x - 4 = 12 x = 64
What is the domain of the relation? On a coordinate plane, a graph of an image has 3 connected lines. The first line goes from (negative 4, negative 4) to (negative 2, 1). The second line goes from (negative 2, 1) to (1, 1). The third line goes from (1, 1) to (6, 4). There are closed circles at (negative 4, negative 4) and (6, 4).
Answers
Given:
The graph of a relation contains three lines.
The first line goes from (-4,-4) to (-2, 1).
The second line goes from (-2, 1) to (1, 1).
The third line goes from (1, 1) to (6, 4).
There are closed circles at (-4,-4) and (6, 4).
To find:
The domain of the relation.
Solution:
Domain of relation is the set of x-values or the set of input values.
First line is defined from -4 to -2, second line is defined from -2 to 1 and third line is defined from 1 to 6.
There are closed circles at (-4, -4) and (6, 4). It means -4 and -6 are included in the domain.
Since the input values for the given relation is from -4 to 6, where -4 and 6 are included, therefore the domain of the relation is [-4,6].
Answer:
-4
Step-by-step explanation:
PLEASE I NEED THE ANSWER QUICK
v + 25 < 5
v = ?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{v + 25 < 5}[/tex]
[tex]\large\textsf{SUBTRACT 25 to BOTH SIDES}[/tex]
[tex]\mathsf{v + 25 - 25 < 5 - 25}[/tex]
[tex]\large\textsf{CANCEL out: 25 - 25 because that gives 0}[/tex]
[tex]\large\textsf{KEEP: 5 - 25 because it gives us v or solve for it}[/tex]
[tex]\mathsf{v < 5 - 25}[/tex]
[tex]\mathsf{5 - 25 = -20}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf v < -20}}}\large\checkmark\\\boxed{\boxed{\mathsf{\bf It\ is\ an\ O P E N E D\ circle\ on\ -20\ shaded\ to\ the\ left}}}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Target pays $14.00 for each Halo 4 video game. The selling price is $22.00. What is the percent of markup? Round your answer to the percent.
Answers
Answer:
57%
Step-by-step explanation:
Find the markup percent by dividing the difference in price by the original price, and multiplying it by 100
(8/14) x 100
= 57
So, the percent markup is approximately 57%
WILL GIVE BRAINLIEST FOR RIGHT ANSWER 16 POINTS
Answers
Answer:
Absolute value means 2 equations so work below.
Step-by-step explanation:
x + 2 = 3
x = -1
x - 2 = 3
x = 5
I hope I didn't just confuse myself it's been YEARS since i've had simple questions like this (i can edit if needed)
Is the Point (6,3) on the given circle.
(x - 3)2 + (y + 1)2=25
Yes or No?
Answers
1 / 5p= 4
(what’s the correct answer)
Answers
Hope this helps!
[tex]\frac{1}{5}p = 4[/tex]
Multiply both sides by 5 to isolate p.
p = 4 * 5 = 20
p = 20
Help I will be marking brainliest!! No links please!
A. 42,757.2
B. 4,750.8
C. 128,271.6
D. 256, 543. 2
Show work, if possible. Thanks❤️
Answers
Answer:
384130.764(I DIDNT ROUND IT)
Step-by-step explanation:
Hey there, friend!
Here's my answer!
[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]
[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]
B. 4,750.8
C. 128,271.6
D. 256, 543. 2
============================
[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]
First, multiply 37 and 42.8
[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]
Second, multiply 1,583.6 and 27
[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]
[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]
============================
That's my answer
Keep safe, friend
. Es una característica numérica de la población, para su cálculo se emplean formulas y generalmente se indican con letras griegas. A) Estadístico o Valor Estadístico B) Parámetro C) Dato Continuo D) Dato Cuantitativo
Answers
Answer:
B) Parameter
Step-by-step explanation:
To find - It is a numerical characteristic of the population, formulas are used for its calculation and are generally indicated with Greek letters. A) Statistical or Statistical Value B) Parameter C) Continuous Data D) Quantitative Data
Answer -
The correct option is - B) Parameter
Reason -
In statistics, A parameter is a numerical characteristic of a population, as distinct from a statistic of a sample.
Match each probability word to the probability. *Each will be used once*
Impossible 0
Unlikely 7/8
50/50 chance 1/3
Likely 1
Certain 1/2
Answers
Unlikely-1/3
50/50 Chance-1/2
Likely-7/8
Certain-1
Tanya coasted down the sidewalk on her bike at a constant speed of 15
meters per second for 20 seconds. The distance she traveled was:
a. 0.75 m
b. 1.3 m
c. 35 m
d. 300 m
Answers
HELPPP PLSSS THIS IS MY THIRD TIME POSTING THIS PLS HELP ME I WOULD MARK YOU BRAINIEST What is the slope of the line below?
(3,5)
(3, 2)
A. positive
B. undefined
C. negative
D. Zero
Answers
Answer:
B
Step-by-step explanation:
its undefined because 3/0.
4x+3(2x-1)-4x
Pls help
Answers
Answer:
6x-3
Step-by-step explanation:
4x+6x-3-4x
6x-3
Answer:
6x -3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
4x + 6x - 3 - 4x
Combine same values
6x -3
??answer!?? Plsssss: )
Answers
please help ! (4x3x8+9+9)
Answers
Answer:
114
Step-by-step explanation:
Can anyone help me ?
Answers
Answer:
First Option
Step-by-step explanation:
Using the pattern of blocks below, how many blocks does Figure 26 have?
Answers
Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answers
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball
Which expression is equivalent to 16+ 2 36?
Answers
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
IF YOU PUT RANDOM NONSENSE ANSWERS OR ADVERTISE SCAM WEBSITES I WILL REPORT YOU AND EMAIL BRAINLY.
4. Consider the circle to the right.
Determine m∠KNY.
SHOW ALL, I REPEAT, ALL STEPS TO BE MARKED BRAINLIEST. I will give brainliest ASAP.
Answers
Answer: Hope this helps
C. 65 this might be the answre bc of the diamiter.
I REALLY NEED BRAINLIEST!!
I think it is 65 hope this helps and i ne
Step-by-step explanation:
Answer: okay so this is a long process
Step-by-step explanation:
the measure of angle N is 65 degrees because when calculating the angle, it is always half of the arc it makes. K is 30 because the arc it makes is 60 degrees and half of 60 is 30. Y is 45 because half of 90 is 45. All of the inside angles of a triangle add up too 180 degrees. So add 30 to 45 and you would get 75, then subtract 75 from 180 to get 105. So the measure of KNY is 105 degrees.
The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is
1 centimeter:6 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the
actual area?
The area of the actual floor isſ ] square feet. The ratio of the area in the drawing to the actual
area is 1 square centimeter: square feet
View Example
f Step-by-step
Textbook
Print
Answers
Answer:
actual area = 900 square feet
ratio = 1cm2 : 36ft2
Step-by-step explanation:
square room
area = 25cm2
1 side = √ 25
= 5cm
1cm = 6ft
5cm = 5 x 6
= 30ft = 1 side
actual area = 30 x 30 = 900ft
ratio = square cm : square feet
= 25 : 900 ( simplify both ratio )
= 1cm2 : 36ft2
I need to find the value of x
Answers
Answer:
9
Step-by-step explanation:
Radius = x
The triangle in the given image is a right angled triangle.
By Pythagoras theorem,
x² + 12² = ( x + 6 )²
x² + 144 = x² + 36 + 12x
x² - x² = 36 - 144 + 12x
0 = - 108 + 12x
12x = 108
x = 108 / 12
x = 9
brian, tim and kenny got paid a total of $240 for mowing neighborhood lawns . They split the money in the ratio of 5:9:10 . how much money did each boy make . PLEAEEEE SHOW THE work i’m really struggling rn
Answers
Answer:
$50 for Brian
$90 for Tim
$100 for Kenny
Step-by-step explanation:
Let 5x = amt for Brian
9x = amt for tim
10x = amt for ken
5x + 9x + 10x = 240
24x = 240
x = 10
5x = 5(10) = $50 for Brian
9x = 9(10) = $90 for Tim
10x = 10(10) = $100 for Kenny
Answer:
Step-by-step explanation:
5x + 9x + 10x = $240
x = $10
Brian got 5x = $50
Tim got 9x = $90
Kenny got 10x = $100