Answer:
The distance between the two given complex numbers = 9
Step-by-step explanation:
Explanation:-
Step(i):-
Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i
Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane
⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and
B = Z₂ = x₂+ i y₂ = 10 -9 i
Let (x₁ , y₁) = ( 9, -9)
(x₂, y₂) = (10, -9)
Step(ii):-
The distance between the two points are
A B = [tex]\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }[/tex]
A B = [tex]\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }[/tex]
AB = [tex]\sqrt{(9)^{2} +(-9+9)^{2} }[/tex]
AB = √81 = 9
Conclusion:-
The distance between the two given complex numbers = 9
Answer:
1
Step-by-step explanation:
Just finished Quiz 4: Complex Numbers, of which this was one of the questions.
Find the equivalent exponential expression.
[(-4)^3]^2
Answer:
4096
Step-by-step explanation:
Simplify:
=((−4)3)2
=((−4)3)*((−4)3)
=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))
=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)
=(−4)6
Step by Step:
((−4)3)2
=(−64)2
=4096
Answer: 4096
Hope this helps.
Write all of the complex numbers that are graphed
in the complex plane shown.
А
A:
B:
+
D
c:
+
14
4
D:
+
B
DONE
С
Answer:
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
In the graph attached,
Real part of a complex number is plotted on x-axis and imaginary part of the complex number on y-axis.
Therefore, in any ordered pair (x, y)
x → Real part of the complex number
y → Imaginary part of the complex number
Complex numbers are,
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Answer:
A : (-2) + (3)i
B : (-1) + (-1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
the cones below are similar, although not drawn to scale
what is the length of the radius of the larger cone?
A 5 ft
B 6 ft
C 7 ft
D 8 ft
Answer:
b
Step-by-step explanation:
Consider the triangles. Triangle G H I. Side G H is 16 inches, H I is 15 inches, G I is 10 inches. Angle G is 65 degrees, H is 48 degrees, I is 67 degrees. Triangle D E F. Side D E is 3 inches, E F is 3.2 inches, D F is 2 inches. Angle D is 67 degrees, E is 48 degrees, F is 65 degrees. What can be concluded about these triangles? Check all that apply. The corresponding angles are proportional. The ratios of the corresponding sides are equivalent. The corresponding sides are congruent. The corresponding angles have the same measure. DE corresponds to IH.
Answer:
The triangles are Similar Triangles
Step-by-step explanation:
The corresponding angle are NOT proportional
The ratios of corresponding sides ARE equal.
The corresponding sides are NOT congruent.
The corresponding angle HAVE same measure
Two triangles are said to be similar triangle when they have the same shape but not necessarily the same size.
Which means that if two triangle have there corresponding angles congruent, and if there corresponding sides are in ratio, they are considered as Similar Triangle.
Corresponding angle:
∠H = ∠E
∠G = ∠F
∠I = ∠D
All angle are congruent
Ratio of Corresponding sides:
16/3.2 : 15/3 : 10/2
5:5:5
Hence Proved
Question: What can be concluded about these triangles? Check all that apply. Answer: B,D,and E.
4) DeAndre owns 40 shares of a common stock in a automotive company. Last month the price of the stock was $22.50 per share. Today, the price of the stock is $31.25. By how much did the value of the stock increase? Enter your answers as a number like 105.
Answer:
8.75
Step-by-step explanation:
Find the difference of the prices.
31.25-22.50=8.75
That's how much it increased by
Answer:
350
Step-by-step explanation:
I took the test
What is the inequality shown?
Answer:
Inequality is the opposite of equality and it is shown here in the line starting from -2 ends in a number of a value other than of -2 but 8 so it is inequality
Find the distance between the pair of points . (-3,-6) and (-3, 1)
Answer:
7
Step-by-step explanation:
add 6 to -6 to get 0
than add 1 to 0 to get 1
6+1=7
Identify if this is a biased or unbiased sample:
To determine the type of music their customers like, all the people attending a concert of a country music singer were surveyed
Biased
Or
Unbiased
Answer:
i would say Biased
Step-by-step explanation:
PLS I NEED HELP QUICK
What are the zeros of this function?
A. X = 0 and x = 6
B. x = 0 and x = -9
C. x = 0 and x = -6
O D. x = 3 and x = -9
Answer:
A. X = 0 and x = 6
Step-by-step explanation:
The zeros of the function are where the graph crosses the x axis
It crosses at 0 and 6
x=0 and x = 6
Answer:
A
Step-by-step explanation:
Ap3x (thx for points :)
Help plz
Find the volume of the rectangular prism.
Height 4 1/2 in.
Lenght 6 1/2 in.
Width 4 in.
The answer is 117 inches^3
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = 117 \: {in}^{3} \\ [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 4 \times 4 \frac{1}{2} \times 6 \frac{1}{2} \\ = 4 \times \frac{9}{2} \times \frac{13}{2} \\ = \frac{468}{4} \\ = 117 \: {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
8. Write an example of a Quadratic function that has a zero (0) for the "c" term. (2 points)
today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
Answer:
Step-by-step explanation:
Let yesterday's price be x
Discount percentage = 36%
Sale price = $ 560
(100-36)% of x = 560
64 % *x = 560
[tex]\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875[/tex]
Yesterday's price = $ 875
I need help on this.
Answer:
5.627
Step-by-step explanation:
[tex]5 \times 1 + 6 \times \bigg( \frac{1}{10} \bigg) + 2 \times \bigg( \frac{1}{100} \bigg) + 7\times \bigg( \frac{1}{1000} \bigg) \\ \\ = 5 + 0.6 + 0.02 + 0.007 \\ \\ = 5.627[/tex]
which equation has no solution?
-x-3=5
2x-1= 0
5-3x=-8
x+9=0
Answer:
5-3x=-8
Step-by-step explanation:
1. 8
2. 1/2
4. 9
Answer:
the answer is C
Step-by-step explanation:
I got it right on time 4 learning
Help me please!!
They problems there! and, please and thank you! :)
Answer:
Step 1: 1,000, Step 2: 1,000, Step 3: 30,000
Step-by-step explanation:
For the first step all you have to do is find out what times 5 is equal to 5000.
[tex]5*x=5000\\[/tex]
Then for the second one all you have to do is keep the same 1000, because:
[tex](5*6)*1000=30*1000[/tex]
It's the same thing.
Afterwards you can just assume that you'll have 30000 as your answer because multiply 30 by 1000 will give, 30 thousands.
[tex]30*100=30000[/tex]
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
Judith received the following amounts of money for doing chores: $5, $7, $3.50, $5, and $8. Give the mean, median, and mode for her earnings. Write the mean, then the median, and then the mode. Separate your answers with a comma and a space. Don't forget to include the $ sign.
Example: 1, 2, 3
The mean is 1, the median is 2, and the mode is 3.
Answer:
The mean is $5.70, the median is $5, and the mode is $5
Step-by-step explanation:
Answer:
the mean is $5.7, the median is $5, and the mode is $5
Step-by-step explanation:
HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU WICH OF THE FOLLOWING IS EQUIVALENT TO THE EXPRESSION BELOW? Square root of -169 A)13i B)-13 C)13 D)-13i
Answer:
A.
Step-by-step explanation:
[tex]\sqrt{-169}=i\sqrt{169} =13i[/tex]
Answer:
The answer would be A 13i
Step-by-step explanation:
(2_{1} + 4_{2})^{4}
----------------------- = Plz answer
2
Answer: The answer is 1296
What are the solutions to the expression 4x2+11x−3
Step-by-step explanation:
4x² + 11x - 3 = 0
(4x-1)(x+3) = 0
x = 1/4, -3
Answer:
x = -3 or x = 1/4
Step-by-step explanation:
Please see the graph in the attachment.
4 x^2 + 11 x - 3= 0
4 (x + 3) (x - (1/4)) = 0
(x + 3)= 0 or (x - (1/4))= 0
x = -3 or x = 1/4
which expression can be used to find the surface area of the following rectangular prism?
Answer:
i think it is C
Step-by-step explanation:
2.Find the next number in the sequence: 1,−1,3,−5,11,−23,...
The ratio x:y is 3: 1 Which of the following statements is correct? A x is 3/4 of y B y is 1/3 of x C x is 1/3 of y D y is 1/4 of x
Answer: i say B is correct
Answer:
B --> y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
=> x is bigger than y
=> x is 3x bigger than y
=> x = 3 lots of y
=> [tex]x = 3y[/tex]
=> [tex]\frac{x}{3} = y[/tex]
=> [tex]\frac{1}{3} x = y[/tex]
Therefore y is [tex]\frac{1}{3}[/tex] of x
This means that B is correct
John takes out a personal loan for $5.000 at an annual interest rate 7.5% compounded monthly. He plans to pay off the loan (including interest) in 3 years.
At the end of the 3 years, what is the actual amount John would have paid back?
Use the
Round your answer to the nearest cent.
A = P(1+r/n)^nt )
Please help
Answer:
18,500
Step-by-step explanation:
what is negative 7 minus negative 4
Answer:
-7-(-4)= -3
Step-by-step explanation:
Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive.
Which quadrants does the line representing the equation y = 6x pass through?
Check all that apply.
Which product will result in a sum or difference of cubes
If a polynomial function f(x) has roots 3+
Answer:
Step-by-step explanation:
3+√5 is a root.
so 3-√5 is also a root
or (x-(3-√5)) is also a factor of f(x)
a) The difference between twice the product of a and b and the quotient of these numbers.
b) The sum of square of c and d increased by twice their product.
c) The sum of a number c and its square.
d) The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.
e) The product of two numbers, p and q, decreased by three times their sum.
f) The quotient of the square of a number n and the cube of n increased by 5.
PLEASE PROVIDE THE ALGEBRAIC EXPRESSION ANSWER!!
Answer:
a) 2*a*b - a/b
b) c² + d + 2*c*d
c) c + c²
d) (1 + b)/(2*b)
e) p*q - 3*(p+q)
f) n²/(n+5)³
Step-by-step explanation:
We can divide each statement into its parts, as follows:
a) The difference between:
twice the product of a and b: 2*a*band the quotient of these numbers: a/bb) The sum of:
square of c: c²and d increased by twice their product. d+2*c*dc) The sum of:
a number c: cand its square: c²d) The quotient of:
the number that is 1 greater than a number b: 1 + band the number that is twice as large as b: 2*be)
The product of two numbers, p and q: p*qdecreased by three times their sum: 3*(p+q)f) The quotient of:
the square of a number n: n²and the cube of n increased by 5: (n+5)³All the algebraic expressions are written as,
a) 2ab - (a/b)
b) c² + d + 2cd
c) c + c²
d) (1 + b)/(2b)
e) pq - 3(p+q)
f) n²/(n+5)³
Used the method of a mathematical expression,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, simplify all the expressions for mathematical form as,
a) The difference between twice the product of a and b and the quotient of these numbers.
Here, twice the product of a and b is,
2 × (ab)
And, the quotient of these numbers is,
a/b
Hence, it can be written as,
[tex]2ab - \dfrac{a}{b}[/tex]
b) The sum of squares of c and d increased by twice their product.
Here, d increased by twice their product is,
d + 2cd
And, The sum of squares of c and d increased by twice their product is,
c² + (d + 2cd)
c) The sum of a number c and its square is,
c + c²
d) Now, the number that is 1 greater than a number b is,
1 + b
And the number that is twice as large as b,
2b
So, The quotient of the numbers,
(1 + b)./2b
e) Now, The product of two numbers, p, and q is,
p × q
And, it is decreased by three times their sum:
p × q - 3 (p+q)
pq - 3 (p + q)
f) Now, the square of a number n is, n²
and the cube of n increased by 5 is, (n+5)³
So, The quotient is,
n² / (n + 5)³
To learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Find the volume of a pyramid with a square base, where the perimeter of the base is
5
in
5 in and the height of the pyramid is
3.6
in
3.6 in. Round your answer to the nearest tenth of a cubic inch.
ANSWER:
1.9
EXPLANATION:
Volume of a pyramid = V= lwh/3
V= Volume
L= Length
W= Width
to get length we divide 5 by 4 which is 1.25
therefore V= 1.25×1.25×3.6/3
V= 1.89
1.89 to the nearest tenth is 1.9
