After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73
What is complex number?The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.
where a is real part and b is imaginary part, the value of i is √-1.
i × i = -1
i⁴ = 1
Given that, pair of complex numbers
(6 +3i )×( 6 - 3i) = 6×6 -6×3i + 6×3i - (3i × -3i)
= 36 - 18i + 18i + (-3i × 3i)
= 36 + 9
= 45
(4-5i) × (4+5i) = 4×4 + 4×5i - 4×5i - (5i × -5i)
= 16 - 20i + 20i + (-5i × 5i)
= 16+25
= 41
(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)
= 9 +24i-24i +64
= 73
Hence, The result of products are 45, 41, 73
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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73
Step-by-step explanation:
Parker drove a total distance of 4 and 1 over 2 miles during the months of June and July. If Parker only drove 1 over 8 of a mile every day, which expression shows the number of days he went driving? 4 and 1 over 2 ⋅
Answer:
36 days
Step-by-step explanation:
Total distance driven = 4 1/2 miles = 9/2 miles
Months of June and July ;
Miles driven per day = 1/8
Number of days Parker went driving :
Total miles driven / miles driven per day
9/2 miles ÷ 1/8 miles
9 /2 * 8 /1
(9 * 8) / (2 * 1)
72 / 2
= 36 days
Hence, Parker drove for 36 days
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
HELP 10 POINTS ===== NEED HELP NOW
PLEASE HELP I NEED THIS ASAP
which relation is not a function?
Answer:
im not completley sure but i think its B
Step-by-step explanation:
Really don’t understand this one
Answer:
(3,8)
Step-by-step explanation:
First, you need to graph a triangle using the points given.
Then reflect across y = x
R is (3,0) which when reflected across y = x is (0,3)
S is (3,3) which when reflected across y = x is (3,3)
R is (4,0) which when reflected across y = x is (0,4)
Expression that is equivalent to (b^10) ( b^2)in the form of b^m
Answer:
b^12
Step-by-step explanation:
Multiply b^10 by b^2 by adding the exponents.
b^12
What is the value of 0.1562 rounded to the nearest hundredth place?
Answer:
0.16
Step-by-step explanation:
is the discriminant of f positive , zero , or negative
Answer:
Negative because there's no x-intercepts!
Hope this helps!
help 6x+6y=-6
x=-5y-13
Answer:
what do you need help on?
Step-by-step explanation:
answer please i really need help if you get it right you get brainlyest
If you spin the spinner 75 times how many 2s would you get?
Answer:
If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.
Step-by-step explanation:
H E L P M E P L E A S E
Answer:
B: 56 ounces no hate If I am wrong :)
which graph showed exponential growth
The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2,7)
Step-by-step explanation:
Which equation represents a nonlinear function?
O A. 7x - 3y = 0
O B. X = 12y - 4
O C. 9xy = 19
O D. X + 7 = 0
This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?
Answer:
It's a Rhombus!
Use the square root property to solve: 5x^2+8 =133
Please help
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
In a proportional relationship, y=2 when x=8. Which of the following equations would
describe this relationship?
Answer:
2. (1) [tex]30[/tex]
3. (1) [tex]y=\frac{1}{4}x[/tex]
4. a) [tex]y=x+6[/tex] b) [tex]42[/tex]
Step-by-step explanation:
In a proportional relationship, y=2 when x=8, the following lines will show this relationship,
1. y = 1/4x
2. y = x - 6
4. y = 1/2x - 2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
The point,
x = 8 and y = 2
We have to check all the given options,
1. y = 1/4x
y = 1/4 × 8
y = 2
2. y = x - 6
= 8 - 6
y = 2
3. y = 4x
= 4 × 8
y = 32
4. y = 1/2x - 2
= 1/2 × 8 - 2
= 2
Hence, Option 1, 2, & 4 satisfies the given condition
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Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)
Answer:abcd
Step-by-step explanation:
"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",
(x, y) → (x, y + h)
If the vertices of a square are,
A(1, 2), B(3, 2), C(3, 4), D(1, 4)
If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,
A(1, 2) → A'(1, 2+5)
→ A'(1, 7)
B(3, 2) → B'(3, 2+5)
→ B'(3, 7)
C(3, 4) → C'(3, 4+5)
→ C'(3, 9)
D(1, 4) → D'(1, 4+5)
→ D'(1, 9)
Therefore, Option (A) will be the answer.
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Can y’all help me with this?
Answer:
this is binomial
3 is the degree of this equation.
5692 in standard form
Answer:
5.692 × 103.
Step-by-step explanation:
Answer:
5.692 × 10^3
Step-by-step explanation:
hope it helps you
I need the answer to this question
9514 1404 393
Answer:
g(x) = (5x +26)/(x+5)
Step-by-step explanation:
To translate the function right h units and up k units, the transformation is ...
f(x -h) +k
You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...
[tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]
The translated function is ...
g(x) = (5x +26)/(x+5)
__
The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.
Is there a linear relationship between height and volume? Explain how you know.
Answer:
Yes
Step-by-step explanation:
The volume is for example the area of a circle times the height. If you divide the volume of a cylinder by the amount the radius is squared multiplied by pi, to calculate its height.
Yes, there exists a linear relationship between the height and the volume.
What is a linear relationship?A linear relationship is a relationship between the variables in a linear fashion. The relations ships can positive, negative, and neutral. Volume is a scalar quantity that is expressed in three-dimensional space.
Example of volume for the area of a circle is times the height. If we divide the volume of a cylinder by the amount of R it can be squared and multiplied by pi, to find its height.
Find out more information about the volume.
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The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
The newspaper has 1,600 readers.
Solve the linear system by graphing
y=x+2 and y=-6x+9
Answer:
(1, 3)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Reading a Cartesian (Rectangular) planeSolving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect will be the solution set to the systems of equations.
If the lines are parallel, they will have no solution.
If the lines are the same, they will have infinite amount of solutions.
Kevin wants buy a subwoofer for his truck. The one he wants cost $370.00. Kevin earns $14.00 for 5 problems, how many problems would he have to write to earn enough money for the subwoofer?
Failing this class plz help
Answer:
m∠2 = 35°m∠3 = 55°Step-by-step explanation:
Angles 2 and 3 are complementary ⇒ m∠2 + m∠3 = 90°
Angles 3 and 4 are complementary ⇒ m∠3 + m∠4 = 90
m∠2 = m∠4 = 35°m∠3 = 90° - 35° = 55°3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit
Answer:
1kg of apple : €0.50
1kgof grapes : €1.20
Step-by-step explanation:
15kg of apples and 40kg of grapes costs €38
15kg of apples and 9kg of grapes costs €22.50
38 - 22.50 = 15.5
40 - 9 = 31
15.5 ÷ 31 = 0.5 ( 1kg of grapes )
0.5 × 3 = 1.5
7.5 - 1.5 = 6
6 ÷ 5 = 1.2 ( 1kg of apples )
Which of these strategies would eliminate a variable in the system of equations? 5x+8y=-1 5x -8=-7
Answer:
To eliminate a variable in the system, we will have to subtract both expressions from each other
Step-by-step explanation:
Given the equations
5x+8y=-1
5x -8y=-7
To eliminate a variable in the system, we will have to subtract both expressions from each other
5x - 5x +8y-(-8y) = 1-(-7)
0 + 16y = 8
16y = 8
You can see that the variable x has been eliminated by simply subtracting both equations
y = 8/16
y = 1/2
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2