Who knows how to answer this. It's Dividing complex numbers.
Answer:
answe is 1+i
mark this as brainliest!!
mark this as brainliest!!follow me!
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]
what is 64,100,000,000,000 in scientific notation ANSWER ASAP
Hey there!☺
[tex]Answer:\boxed{6.41*10^{13}}[/tex]
[tex]Explanation:[/tex]
[tex]64,100,000,000,000[/tex] as a scientific notation would be written like this:
[tex]{6.41*10^{13}}[/tex]
Hope this helps!
In triangle ABC, the measure of angle B is 50 degrees. Give possible values for the measures of angles A and C if ABC was an acute triangle.
Answer:
Step-by-step explanation:
An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°
Since of angles in a triangle is 180, hence <A + <B + <C = 180
Given
<B = 50
50 + <A + <C = 180°
<A + <C = 180-50
<A + <C = 130°
Note that all the angles of an acute triangle are also different
Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)
Another possible values are 55° and 75°
60° and 70°
55° and 75°
5^x + 5^x+1 = 150
Find x
Answer:
This might help u...
The area of a square is 36 square cenitmeters what is the length of each side of the square
Answer:
6
Step-by-step explanation:
A = S²
36 = S²
[tex]\sqrt{36}[/tex] = [tex]\sqrt{S^{2} }[/tex]
6=S
Find each measurement. Assume that each figure is not drawn to scale.
1. NQ
1 in.
2. GH
F
9.7 mm
G
H
Р
N
15 mm
Find the value of x and YZ if Y is between X and Z.
3. XY = 2x + 1, YZ = 6x, and XZ = 81
Answer:
1) 2 1/4 inches (2.25)
2) 5.3 millimeters
3) X=10 and YZ=60
Step-by-step explanation:
Number 1, you just add the measurements because n and q is the start and end of the line segment.
Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.
Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.
Solve for the following variable.
Answer:
answers in the explanation.
Step-by-step explanation:
1. x=12
2 x=7
3.x=8
4.x=5
What is the product of 5/8 x 3/4 ?
Answer:
15/32 or 0.46875
Step-by-step explanation:
Answer:
Step-by-step explanation:
B
Simplify this expression.
6m4 n4
12m
Answer:
18m+n4
Step-by-step explanation:
i think.
Answer: girly im not gonna lie im no mathematician but i came up with 18m 8n i sowy if it's wrong but, you can't blame a girl from trying .
Step-by-step explanation: i combined like terms but im probably still wrong just saying .
-2x+4y=-28 solve for y please and how do I show my work could u pls do it on paper and show me ?:)
What is the measure of ZA?
Please help
Write an expression for the sequence of operations described below. triple u, then multiply t by the result
Answer:
t(3u)
Step-by-step explanation:
First we have to triple (x3) u, which is what gets us 3u. Then we multiply that result by t.
This gives us: t(3u)
Remember, this problem is asking for you to write an expression, not and equation. That is why there is not an equal sign included in the answer.
uhm pls help me rn i need help
Answer:
hey i would help you but i cant because my school computer blocked the image
Step-by-step explanation:
if you could tell me text wise i might be able to help you out :)
Which best describes and corrects the error in finding the difference?
Answer:
The first answer choice.
Answer: The opposite of -12 should be added.
7 - (-12) = 7 + 12 = 19
Step-by-step explanation:
The 2 minus signs cancel out and make the 12 positive so 7 - (-12) = 19.
WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
Step-by-step explanation:
The distance between a point (x,y) and the point (-3,4) is
d1= [tex]\sqrt{ (x+3)2+(y-4)2}[/tex] .
The distance between a point (x,y) and the point (0,0) is
d2= [tex]\sqrt{x2+y2}[/tex] .
You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.
The coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4) is (-33/18, 39/6)
The distance formula is expressed as:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]
For the coordinate point (x,y) to (-3, 4), the distance is expressed as:
[tex]D_1 = \sqrt{(x+3)^2+(y-4)^2}\\[/tex]
For the coordinate point (x,y) to (0, 0), the distance is expressed as:
[tex]D_2=\sqrt{(x-0)^2+(y-0)^2}\\D_2 = \sqrt{x^2+y^2}[/tex]
Since the distance are equidistant, then D1 = D2
[tex]\sqrt{(x+3)^2+(y-4)^2} = \sqrt{x^2+y^2}\\ (x+3)^2+(y-4)^2 = x^2+y^2\\x^2+6x+9+y^2-8y+16 = x^2+y^2\\6x+9-8y+16=0\\6x-8y+25=0[/tex]
Substitute y = 3x+1 and get x
6x - 8y + 25 = 0
6x-8(3x+1) - 25 = 0
6x -24x-8-25=0
-18x-33 = 0
-18x = 33
x =-33/18
Sincey= 3x + 1
y = 3(33/18) + 1
y = 33/6 + 1
y = 39/6
Hence the required coordinates is (-33/18, 39/6)
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An equation in slope-intercept form is ______
an equation in slope intercept form is
y=mx+b
Answer:
y=mxb,
cuz the mx stands for slope, and the b stands for y-intercept
What is 77x38? Im really confused and cant use a calculator.
A. 5x = 3x B. 5 = 3 How can we get equation b from equation a? A. Add/subtract the same quantity to/from both sides B. Add/subtract a quantity to/from only one side C. Multiply/divide both sides by the same non-zero constant D. Multiply/divide both sides by the same variable expression
Answer: D- multiply divide both sides by the same variable expression. B- no
Step-by-step explanation:
Multiply/divide both sides by the same variable expression. 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.
The given expression will be solved as below:-
5x = 3x
Multiply both sides of the expression by (1/x ).
( 1/x ) 5x = ( 1/x )3x
5 = 3
Divide both sides by x.
5x = 3x
5x / x = 3x / x
5 = 3
Therefore, multiply/divide both sides by the same variable expression. The correct option is D.
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the diameter of the sun is about 1.4 x 10
Answer:
1.4x10=14 if thats ur question
Step-by-step explanation:
The Unit Rate is when both units in a rate are equal to each other (ie. 5 cats : 5 dogs)
True
False
Answer:
False
Step-by-step explanation:
Unit Rate Definitions Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.
How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.
Answer:
False
Step-by-step explanation:
it could be 5 cats : 6 dogs.
Unit rates can be unequal too.
which expression is equivalent to the given expression square root of 45
Answer:
[tex]3 \sqrt{5} [/tex]
Step-by-step explanation:
Solve using Surd
[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]
The expression 3√5 will be equivalent to a square root of 45.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the expression √(45)
⇒ √(9×5)
⇒ √(3²×5)
⇒ √(3²)√(5)
Since the square root of a square is the same number
So,
⇒ 3√5
Hence "The expression 3√5 will be equivalent to a square root of 45".
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Dan's brother is three less than twice his age. Which expression shows his brother's age?
Which of the following is a term in the
expression 3x2 + 5x +9?
Answer:
Two.
Step-by-step explanation:
In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.
3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.
(solve) i dont get it
1. Minti can do a piece of work in 12 days. Minti and Rinki together can finish the work in 8 days.
Find: (a) the number of days in which Rinki alone can finish the work.
(b) the work left if Rinki alone works on it for 4 days.
Answer:
Minti - 12 days
Minti & Rinki - 8 days
Use Formula 3
time= (12 * 8) / (12 -8)
time = 96 / 4
time for Rinki alone = 24 Days
*****************************************************
Rinki alone for 4 days will leave 20 days of work to be done.
Step-by-step explanation:
anyone knoe the answer for this equation 3(x+2)+4+2x+5
Answer:
5x+15
Step-by-step explanation:
Answer:
5x+15
Step-by-step explanation:
3(x+2)+4+2x+5
(3x+6)+4+2x+5.
(3x+6)+9+2x
5x+15
7(-7x-9) + 3x+2 = -5(-3x-8) + 6
The answer needs to be a fraction! Please help - asap - Thank you!
Answer:
-107/61
Step-by-step explanation:
-49x-63+3x+2=15x+40+6
-46x-61=15x+46
61x=-107
x=-107/61
the answer is 2/3 !!
yw gl
A sum of rs 700 is to be used to give seven cash prizes to students of a school for the
overall academic performance. If each prize is 20 less than its preceding prize, finde
value of each of the prizes.
Answer:
A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.
Find x
Worth 10 pts
Pls show work
Explanation:
The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.
The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.
5
A triangular shaped park
has side walks that are
30 feet, 40 feet, and 50
feet long. Does the
sidewalk make a right triangle