Who knows how to answer this. It's Dividing complex numbers.
Answer:
answe is 1+i
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Answer:
[tex]\large\boxed{1+i}[/tex]
Step-by-step explanation:
[tex]$\frac{4+2i }{3-i} $[/tex]
Factor the numerator
[tex]$\frac{2(2+i) }{3-i} $[/tex]
Multiply both numerator and denominator by the conjugate of the denominator.
[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]
Once [tex]i^2=-1[/tex]
[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]
Solving the numerator
[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]
[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]
Write an
equivalent expression by distributing the
sign outside the parentheses:
-(7v+1.1)
-(7v + 1.1) = -7v - 1.1
The equivalent value of the expression is A = -7v - 1.1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = - ( 7v + 1.1 ) be equation (1)
Multiply by the value -1 throughout the brackets , we get
A = -1 ( 7v ) - ( 1.1 )
On simplifying , we get
A = -7v - 1.1
Hence , the expression is A = -7v - 1.1
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Would appreciate a reply back thank you! . The table shows the completion times of four swimmers in a race.
Swimmer
Time
(seconds)
183
Ryann
Shelbie
18.07
Madison
18
Tammi
18.8
Which swimmer came in second place?
A. Ryann
B. Shelbie
C. Madison
D. Tammi
Answer:
Shelby. If Ryann's time was 18.3, not 183 seconds, then the second-place winner would be Ryann.
Step-by-step explanation:
Looking at the table, we see that Madison had the lowest time, (18 seconds) and Shelbie and Tammie follow her in that order (Shelbie came second and Tammie third.) Again, if Ryann's time was 18.3 and not 183 seconds, he would have won second place and Shelbie would have gotten third. Hope this helped!
Step by step order ....
Answer:
Step-by-step explanation:
1. Determine the LCM of the denominators LCM=10
2. Multiply each piece of the equation by the common denominator.
3. 2x + 5 = 40
4. Subtract 5 from both sides
5. 2x = 35
6. Divide both sides by 2
7. x = 35/2
Solve the equation vf=vi+at for a
Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?
Answer:
12 dollars each
Step-by-step explanation:
do the math
Answer:
$1.7
Step-by-step explanation:
3 x 9 = 27
45 ÷ 27 =
about $1.7
nobody is helping so imma do full points.
can someone tell me the domain and range for these two graphs?
Answer: i really needed this if you look and how much points i have you might understand
UwU
Step-by-step explanation:
(8 x 10^-3) x (2 x 10^-4)
Graph the given function. State the domain and range. y=-11√6-9x+1
A parasail is 3/100 mile above the water. After five minutes, the parasail is 1/50 mile above the water. Find the change in height of the parasail.
Answer:
the change in height is 1/100 mile
Step-by-step explanation:
1/50 is also equal to 2/100, and since the previous height was 3/100 then you can just subtract 2/100 from 3/100 to get 1/100
Answer:
1/100
Step-by-step explanation:
1/50 = 2/100
then:
3/100 - 2/100 = (3-2)/100
= 1/100
Find the distance between each pair of points (8,5) ,(-1,3)
Answer:
d=9.220
Step-by-step explanation:
Answer:
sqrt(85)
Step-by-step explanation:
Use the distance formula.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(-1 - 8)^2 + (3 - 5)^2]
d = sqrt[(-9)^2 + (-2)^2]
d = sqrt[81 + 4]
d = sqrt(85)
Answer: sqrt(85)
PLZ HELP, GIVING BRAINLIEST!! A swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)^2 - 16 What is the lowest depth the swimmer reaches? How long does it take the swimmer to reach the lowest depth? a. 9 feet, 16 seconds b. 16 feet, 3 seconds c. 3 feet, 16 seconds d. 16 feet, 9 seconds
The time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)² - 16.
The time will be calculated as below;-
d = ( t - 3 )² - 16.
16 = ( t - 3 )² - 16
32 = ( t - 3 )²
√32 = t - 3
5.67 = t - 3
t = 5.67 + 3 = 8.67 ≅ 9 seconds
Therefore, the time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
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Which scales are equivalent to 1 inch to 1 foot?
Select all that apply.
Group of answer choices
36 to 3
100 to 0.12
9 to 108
LaTeX: \frac{1}{12} 1 12 to 1
5 to 60
1 to 12
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What is the inverse of the function f(x) = 1/9 x + 2?
h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2
Answer: the answer is option B. or h(x) = 9x - 18
Step-by-step explanation:
Answer: h(x) = 9x - 18
Step-by-step explanation:
I just took the test and got it right
Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20
Answer:
0
Step-by-step explanation:
20 cancels itself out so
-4x = x
-4x - x = 0
-5x = 0
divide both sides by -5x
x= 0 but we don't write it out
For the equation -4x+20 to have infinite solution , it should be equal to
-4x+20 = -4x+20 , so the blank value is -4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be -4x+20 = blank x + 20
Now ,
If the lines are coincident and have the same y-intercept, an endless solution can be generated.
The two lines with the same y-intercept and slope are the same line.
If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.
So , Both the equations should be equal for it to have infinite solutions
Therefore , -4x+20 = -4x+20
Hence , the value of the blank is -4
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HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? How many inches of ribbon does the dressmaker have, in total?
Answer:
1620 peices
Step-by-step explanation:
9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches
1620 inches divided by 4 inches = 405 peices
:)
How many solutions does the following equation have?
14x + 12] = 0
Answer:
[tex]x=-\frac{6}{7}[/tex]
It has one solution
Step-by-step explanation:
[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]
What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3
Answer:
(3,15) and (-1.5, 1.5)
Step-by-step explanation:
If g(x) = 2x² - 3
Geometry Basics Test
A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9
Answer:
P=40
Step-by-step explanation:
find the distance between each vertices:
between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5
the length of each side of octagon=5
to check :d=√(x2-x1)²+(y2-y1)²
(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5
(1,0) and (1,5) , d= 5
(1,5) and (-2,9) , d=5
(-2,9) and (-7,9) , d=5
(-7,9) and (-10,5) , d=5
(-10,5) and(-10,0) , d=5
(-10,0) and(-7,-4), d= 5
(-7,-4) and (-2,-4), d=5
perimeter of octagon = 8a ( a is the length of the side)
p=8(5)
P=40
The relationship between money earned and hours worked is linear joke and puetz the slope between 430 and 1290 that computes the slope between 4:30 and 10 75 how do the two slopes compare
Answer:
操你bit子Step-by-step explanation:
嗨，你好吗
which following statements are true? 11.5=11.05, 17.18 2.48
Answer:
Step-by-step explanation:
11.5=11.5
Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?
Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!
Answer:
130°
Step-by-step explanation:
Angle 5 and Angle 8 are vertical angles, which therefore means the angles are congruent, or have the same measure. Since it tells us that Angle 8 measures 130°, we know Angle 5 will be 130° as well. I hope this helps :)
At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years
Answer:
after working for at least 10 1/4 years
Step-by-step explanation:
After working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
What is the formula to solve quadratic equation?A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by
[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]
Given function [tex]f(x)=x^4-10x^2+10000[/tex]
Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]
[tex]x^4-10x^2+10000-20000=0[/tex]
[tex]x^4-10x^2-10000=0[/tex]
Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]
[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]
[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]
[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]
[tex]x^2=5 \pm 100.1[/tex]
[tex]x^2=105.1[/tex]
[tex]x=\sqrt{105.1}[/tex]
[tex]x=10.25[/tex]
Hence, after working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
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What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?
Answer:
The distance between both points is 4√2 units
Step-by-step explanation:
Here in this question, we want to calculate the distance between two given points.
These points are (8,-3) and (4,-7)
Mathematically, the distance between two points can be given as;
D = √(x2-x1)^2 + (y2-y1)^2
where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3
Substituting these values;
D = √(8 -4)^2 + (-3-(-7)^2
D = √(4)^2 + (4)^2
D = √(16+16)
D = √(32)
D = 4√2 units
Answer:
32 Number C
Step-by-step explanation:
Tyler and Han is trying to solve this system by substitution:
x + 3y = -5
9x + 3y = 3
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Hans first step is to isolate 3y in the first equation to get 3y = -5 - x show that both first steps can be used to solve the system and will yield the same solution.
Answer:
The communicative property shows how these problems should both work therefore they can both be answered by different equations
Step-by-step explanation:
Answer:
The communicative property shows how these problems should both work therefore they can both be answered by different equation.
Step-by-step explanation:
Write y = 3x - 5 in function notation
Answer:
f(x) = 3x -5
Step-by-step explanation:
The equation for a line is already a type of function, so you simply replace y for f(x), g(x), or something similar to that
The function notation of y = 3x - 5 is
f(x) = 3x - 5.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 3x - 5
Put y = f(x)
Where x is the input and f(x) is the output.
Thus,
f(x) = 3x - 5 is our function.
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The purple shape is a dilation of the black shape. What is the scale factor of the dilation?
Select all of the following functions that are quadratic.
y = 2x2
3 = 2x2 – 8
y = –2 + 2x – 8
y + 3x = 2x2 – 8
y +3x2 = 2x + 3x2 – 8
Answer:
y = 2x2
y + 3x = 2x2 – 8
Step-by-step explanation:
The equations that are quadratic in nature are -
y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c.
Given are the set of equations.
A quadratic equation is a equation of degree 2. The equation with degree 2 are -
y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8Therefore, the equations that are quadratic in nature are -
y = 2x²2x² - 8 - 3 = 0y = 2x² - 3x - 8To solve more questions on quadratic equations, visit the link below -
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Find the value of the following:|-15|.
Answer:
The answer is 15 because that absolute value for anything is 15. No matter what number
Step-by-step explanation: