[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
1/7 rounded to the nearest thousand
Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12
Answer:
x= 4, y= 1
Step-by-step explanation:
5x +3y= 23 -----(1)
2x +4y= 12
Divide both sides by 2:
x +2y= 6 -----(2)
(2) ×5:
5x +10y= 30 -----(3)
(3) -(1):
5x +10y -(5x +3y)= 30 -23
Expand, simplify:
5x +10y -5x -3y= 7
Divide both sides by 7:
7y= 7
y= 7 ÷7
y= 1
Substitute y= 1 into (2):
x +2(1)= 6
x +2= 6
x= 6 -2
x= 4
a recipe calls for 24 fluid ounces of light whipping cream. if anthony has 1.5 pints of whipping cream in his refrigerator does he have enough for the recipe
Answer:
Yes
Step-by-step explanation:
He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz
I hope this could help!
Answer:
yes and he will have 4.8228 fluid ounces left over
Step-by-step explanation:
1.5 pints + 28.8228 US fluid ounces
Given that y varies with directly with x, and that y= 12 when x=3. Then when x=10, y= ?
Answer:
y = 40
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 3 , then
12 = 3k ( divide both sides by 3 )
4 = k
y = 4x ← equation of variation
When x = 10 , then
y = 4 × 10 = 40
The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?
Answer:
the answer is 1.7
Step-by-step explanation:
I HAVE A SEMICIRCLE WITH A DIAMETER 16cm. How do I find the perimeter of the SEMICIRCLE
Answer:
Perimeter of Semicircle
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202
Answer:
Perimeter is 41.1327 centimeters
Step-by-step explanation:
The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.
To find the circumference of a circle, just multiply the diameter by pi:
[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]
Now, add the diameter to half of it:
[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]
5(4 - 1)
The Second person to answer gets Brainliest
Answer:
the answer is 15 because you have to do the problem in the parentheses first then multiply by 5
-2 + 1/2 what is the answer
Answer:
-1 1/2
Step-by-step explanation:
1/2 is positive and - 2 is negative
solve pls brainliest
Answer:
1. yes
2.yes
3. no
4. no
5. no
how about −2x × 2x ???
thanks
[tex] \: \: \: \: \: [/tex]
[tex] = - 4 {x}^{2} [/tex]
hope it helpsrefer to the attachment
=> -2x × 2x
=> -4x²
0 0
2 6
4 12
6 18
What is the slope?
what is the y-intercept?
Proportional or not proportional?
Answer:
a) slope / m = 3
b) y-intercept / b = 0
c) Proportional
Step-by-step explanation:
a)
( y1 - y2 ) / ( x1 - x2 )
( 6 - 12 ) / ( 2 - 4 )
( -6 ) / ( -2 )
6 / 2
3
b)
y = mx + b
6 = 3(2) + b
6 = 6 + b
0 = b
c)
Proportional is when it crosses origin ( 0, 0 ).
Not proportional is when it does not cross origin.
Hopefully this helps!
Brainliest please?
In the diagram below CF bisects
Answer:
Thanks for the points, I will change my answer when you re-upload okay
:)
Answer:
Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
The marked price of a stove at Courts was $1,200. A lady bought the stove by making a deposit of $400, and paying $80 per month for one year and a half. How much would she have saved by paying cash?
she would have saved $650
I really need help pls!!
Answer:
116
Step-by-step explanation:
First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:
(14x+4)+(5x-1)+(2x+9)=180
x=8
Then to find angle A put 8 in place of x. 14(8)+4=116
Answer:
[tex]116 \degree[/tex]
Step-by-step explanation:
Interior angles of a triangle is added up to 180°
Therefore,
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]
Now you can solve this equation and find the value of x
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]
Now you can Find the value of <A
[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
what rule is this, please answer correctly, please
Answer:
Reflection
Step-by-step explanation: It is reflection because it is the same thing just reflected
Answer:
Vertical reflection of MNOP quadrilateral
Step-by-step explanation:
Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.
here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection
who my fav celeb who ever can guess it close to the name gets brainest
Answer:
john cena
Step-by-step explanation:
i have no idea lol
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost?
Answer:
50$$$
Step-by-step explanation:
(she has the same name as me lol)
Chloe has to pay 40$
5% of 40 is 2
20% of 40 is 8
Add the extra money together
2+8=10
Add original price
40+10=50
You get 50$ for the final price
what is a slope of (-20,-4), (-12, -10)
Answer:
Slope = -¾
Step-by-step explanation:
Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (-20,-4)
(x₂, y₂) = (-12, -10)
Substitute these values into the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]
[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]
[tex]m = \frac{-6}{8}[/tex]
Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:
[tex]m = \frac{-6}{8}[/tex] ÷ [tex]\frac{2}{2}[/tex]
m = -¾
Therefore, the slope of the line is -¾
Solve for r.
-27 = r/10 - 36
r =
Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.
Answer:
The slope of the model represents the amount of snow(in inches) added to the ground per hour
the y-intercept represents the beginning amount of snow already on the ground
Step-by-step explanation:
Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number
The unknown number expressed as a mixed fraction is 11 19/20
Let the unknown number be "x"
The sum of the number and 1.75 is expressed as x + 1.75
Half the sum of a number and 1.75 is 1/2(x+1.75)
Equating the result to -5.1 wil give:
1/2(x+1.75) = -5.1
Solve the resulting equation
x + 1.75 = 2(-5.1)
x + 1.75 = -10.2
x = -10.2 - 1.75
x = 11.95
x = 1195/100
x = 11 95/100
Hence the unknown number expressed as a mixed fraction is 11 19/20
Learn more here: https://brainly.com/question/14583740
Answer
-11 19/20
I took the test and got it right!
subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what
Answer:
[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]
hope helpful <3
Answer:
3/9
Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3
Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day
Answer:
Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!
Step-by-step explanation:
Which of the following properties of equalities can’t be used when solving 3x+6=10-x
Answer:
Step-by-step explanation:
C
Answer:
c) multiplication
Step-by-step explanation:
what is (−
2
1
)
5
Step-by-step explanation:
i don't understand your question
which algebraic expression represents the total area of a cube each dimension of which is 1.5x
Answer:
okkkkkkkķkkkkkkkkkkkkk
Answer:
Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Step-by-step explanation:
A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.
nth term 12 10 8 6 4
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
Find out more at: https://brainly.com/question/13911928
What is the slope for 1,60,2,120,3,180,4,240
Answer:
the answer to your question is the slope is 60
how do we find x and y intercepts
Answer:
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.