I know it is probably to late for your answer but if you are on Solving and Reasoning with Complex Numbers: Tutorial in Edmentum, then the answer for part D on the first lesson activity is this word for word.
This equation generalizes the patterns seen in part D, where a and b represent real numbers:
(a + bi)(a − bi) = a2 + b2.
Hope this helps good luck
Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x + 4y = 16
Answer:
[tex]4y = 16-2x\\y = \frac{16}{4} - \frac{2x}{4}\\ y = \frac{-1x}{2}+4\\y = 0.5x+4[/tex]
Given parameters:
Equation of the straight line;
2x + 4y = 16
The slope intercept form of the equation is y = mx + c
Where m is the slope of the line
y and x are the coordinates
c is the intercept
So, the problem is to write the given equation in form of y = mx + c;
2x + 4y = 16
4y = 16 - 2x
Divide through by 2;
[tex]\frac{4y}{2}[/tex] = [tex]\frac{16}{2}[/tex] - [tex]\frac{2x}{2}[/tex]
2y = 8 - x
2y = -x + 8
Then divide by 2 all through;
[tex]\frac{2y}{2}[/tex] = [tex]\frac{-x}{2} + \frac{8}{2}[/tex]
y = [tex]\frac{-x}{2} + 4[/tex]
The equation of the line is y = [tex]\frac{-x}{2} + 4[/tex]
The total degree measure for all the interior angles of a 17-gon is (blank)
degrees.
=================================
Work Shown:
n = number of sides = 17
S = sum of the interior angles of a polygon
S = 180(n-2)
S = 180(17-2)
S = 180*15
S = 2700
Answer:
2,700°
Step-by-step explanation:
Total degree measure for all the interior angles of a 17-gon
[tex] = (n - 2) \times 180 \degree \\ \\ = (17 - 2) \times 180 \degree \\ \\ = 15 \times 180 \degree \\ \\ \huge \red { \boxed{ = 2,700 \degree}}[/tex]
Which expression is equivalent to the following complex fraction? 2 minus startfraction 1 over y endfraction divided by 3 startfraction 1 over y endfraction startfraction 3 y 1 over 2 y minus 1 endfraction startfraction (2 y minus 1) (3 y 1) over y squared endfraction startfraction y squared over (2 y minus 1) (3 y 1) endfraction startfraction 2 y minus 1 over 3 y 1 endfraction
The expression which is equal to the given complex fraction will be
(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)
What is a complex fraction?
The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.
now we have to find the solution to the given expression:
[tex]=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex]
[tex]=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }[/tex]
[tex]=\dfrac{2y-1}{3y+1}[/tex]
Hence the expression which is equal to the given complex fraction will be
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}[/tex]
To know more about complex fractions follow
https://brainly.com/question/13006290
Answer:
D
Step-by-step explanation:
edge 2022
solve for brainliest :)
Hey there!
Problem A.
((-10)^3 * 6)^3
= ((-10)(-10)(-10) * 6)^3
= (100(-10) * 6)^3
= (-1,000 * 6)^3
= (-6,000)^3
= (-6,000)(-6,000)(-6,000)
= 36,000,000(-6,000)
= 216,000,000,000
Thus, your answer is: 216,000,000,000
Problem B.
(3^2/5)^3
= (3 * 3 / 5)^3
= (9/5)^3
= 9/5(9/5)(9/5)
= 9 * 9 * 9 / 5 * 5 * 5
= 81 * 9 / 25 * 5
= 729 / 125
≈ =5 104 / 125
≈ 5.832
Thus, your answer is:
5.832 , 5 104/125, or 729 / 125
EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT TO EACH EACH OTHER!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the positive solution to the equation 0 = –x2 2x 1? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction –2 startroot 2 endroot 2 – startroot 2 endroot 1 startroot 2 endroot –1 startroot 2 endroot
The positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].
Given quadratic equation is:
[tex]-x^{2} +2x+1=0[/tex]
What is the general form of a quadratic equation?The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] and [tex]a\neq 0[/tex].
On comparing with general form of quadratic equation
a = -1
b = 2
c = 1
So, from the Shreedharacharya formula,
[tex]x = \frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]x = \frac{-2+-\sqrt{2^{2} -4(-1)(1)} }{2*(-1)}[/tex]
[tex]x = 1-\sqrt{2} \\x=1+\sqrt{2}[/tex]
as [tex]x = 1-\sqrt{2}[/tex] is negative
So, the positive solution is [tex]x=1+\sqrt{2}[/tex]
Therefore, the positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].
To get more about quadratic equations visit:
https://brainly.com/question/1214333
Answer: x = 2 + √2. x = 2 - √2 ·
Step-by-step explanation:
- x² + 2x + 1 = 0. x² - 2x - 1 = 0. Here,. a = 1. b = - 2. c = - 1
Mm inc. recently reported $15,000 of sales, $7,500 of operating costs other than depreciation, and $1,200 of
depreciation. the company had no amortization charges, it had outstanding $6,500 of bonds that carry a 6.25% interest
rate, and its federal-plus-state income tax rate was 25%. how much was the firm's net income after taxes?
Answer:
9456.25?
Step-by-step explanation:
25% in taxes would be 3750+the depreciation and operating costs equals 12450. income was 15000, and they had an outstanding bond worth 6500 with 6.25% interest added onto it, so you get like 21906.25. then i just subtracted it. not sure if it is right, i took accounting 101 like a year or 2 ago, lol
please help thank you
Answer:
1. 150.8 in³ (rounded to tenths place) or 48π (in terms of Pi) depending on whether your teacher wants the answer in terms of Pi or not.
2. 113.1 in³ (rounded to tenths place) or 36π (in terms of Pi)
Step-by-step explanation:
The formula for the volume of a cylinder:
height of the cylinder X Pi X (radius of the cylinder)²
1. 4² is 16, 16*3 is 48, times Pi is 48π or 150.796447.
2. 3² is 9, 9*4 is 36, times Pi is 36π or 113.097336
Let me know if you need help rounding to hundredths or thousandths place.
T is the midpoint of SU. If ST = x + 3 and SU = 3x − 1, what is ST?
Answer: 4
Step-by-step explanation:
The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
25%
6.3%
95.5%
4.5%
Answer:
25%
Step-by-step explanation:
so you will add 4,3,5=12
3/12=0.25 then = 25%
The probability that both Michelle and Garth will drive a red bumper car is calculated as; 4.5%
What is the Probability?We are told that;
Number of red cars = 3 red cars
Number of green cars = 4 green cars.
Number of blue cars = 5 blue cars.
Total Number of Cars = 3 + 4 + 5
Total number of Cars = 12 cars
Probability that Michellewill drive a red bumper car is;
P(A) = 3/12
Probability that Garth will drive a red bumper car is;
P(B) = 2/11
Probability that both Michelle and Garth will drive a red bumper car is;
P(A ∩ B) = (3/12) × (2/11)
P(A ∩ B) = 0.045 = 4.5%
Read more about Probability at; https://brainly.com/question/251701
can someone please help me?? (in 10 minutes tops)
A pair of parallel lines is cut by a transversal:
A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.
What is the measure of angle x?
a. 50 degrees
b. 55 degrees
c. 60 degrees
d. 80 degrees
(sorry, the picture didn't load with it :(
Answer:
I'm sorry I couldn't answer in time but I believe it to be 60.. I might be wrong though.
Bridget was thinking of a number. Bridget halves it and gets an answer of 31.3. What was the original number?
Answer:
62.6
Step-by-step explanation:
if 32.3 is a half of a number then multiply it by 2.
32.3 x 2 = 62.6
Which graph represents the function f(x) = –|x| – 2?
it should be flipped over the x-axis and translated to the right by 2
Probability: Sample Space, (In)dependent events
A coffee shop offers French roast and
Italian roast coffee.
In a standard Normal distribution, what percentage of observations lie above z = 1.65?
Answer:
The percent is 4.9471%
Step-by-step explanation:
Here, we want to find the percentage of observations that lie above z = 1.65
Firstly we find the probability of x < z = 1.65
Hence P ( x > 1.65)
This is obtainable from the standard normal distribution table
The value of P(x > 1.65) = 0.049471
This represents a percentage of 4.9471%
Answer:
4.95/4.9471 is correct
ED2021
find the surface area no links no pdfs just type it into the answer section will give brainliest
Check the picture below.
let's firstly convert the mixed fractions to improper fractions.
[tex]\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}[/tex]
can you please help me figure this problem out
Answer:
A. 3 3/4 hours = 3.75 hours
I hope this helps, please rate!
Pls help me on this problem I’m confused
Answer:
if we have 3, 2 pound bricks we have 6 pounds
1 pound = 16 ounces
16 × 6 = 96 ounces
96 ÷ 4 = 24
only 24 people got bricks so he needs to give 4 people more
4 ounces each for 4 people is 16 ounces
answer: 16 ounces
4x – 3x + 2 = 4(3x – 5)
Answer:
4x-3x+2=4(3x-5)
1x+2=12x-20
22=11x
2=x
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
x=2
Step-by-step explanation:
4x-3x+2=12x-20
x+2=12x-20
2=11x-20
22=11x
x=2
vi) Briefly explain the effects of migration in various areas.
Answer:
first it is not a maths question
second the ans to the question
Step-by-step explanation:
please mark brainliestplezzzzz........
Migration is when people move from one place to another.
The impact of people moving from one place to another can either be positive. The positive aspects are:
The people can enjoy better infrastructural facilities like good roads, stable power supply etc.The standard of living of the people can be enhanced.There will be access to education and job opportunities for the migrants.The negative effects of migration can include
Pressure on the public services and the natural resources.
Overcrowding.Increase in pollution.Increase in social vices like robbery.Read related link on:
https://brainly.com/question/18678134
Using the following function, explain how the following features (asymptotes,
intercepts, holes) can be identified/constructed in the graph.
3(2-3)(x+2)(x-4)/8(6+9) (2-3)
The given asymptote, intercepts and holes of the given function depends
on the numerator and denominator of the function from which we have;
The vertical asymptote is the line x = -9The x-intercept occurs at the points, x = -2, and x = 4, the y-intercept is located at the point at which y = [tex]-\dfrac{1}{3}[/tex]The hole is at the point (3, 0)How can the properties of the function be found?The given function is presented as follows;
[tex]f(x) = \mathbf{ \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}}[/tex]
Given that there is a common factor of (x - 3) in the numerator and the denominator, we have;
[tex]f(x) = \mathbf{\dfrac{3 \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9)}}[/tex]
The asymptote is obtained by equating the denominator to zero as follows;
8·(x + 9) = 0
x = -9
The asymptote is the line x = -9The intercepts is given by the points the x or y-value are zero, which gives;
[tex]At \ an \ intercept, \ f(x) = \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}= 0[/tex]
3·(x - 3)·(x + 2)·(x - 4) = 0
Therefore;
x = -2, x = 4 at the x-intercepts[tex]At \ the \ \mathbf{y-intercept}, \ f(0) = \dfrac{3 \cdot (0- 3) \cdot (0 + 2) \cdot (0 - 4)}{8 \cdot (0 + 9) \cdot (0 - 3)}= -\dfrac{1}{3}[/tex]
The hole is given by the point where the function is zero.
Placing (x - 3) = 0 in the denominator
Therefore;
A hole is the point x = 3Learn more about asymptotes and intercepts here:
https://brainly.com/question/9170705
Write an equation for the table in the slope intercept form.
Answer:
C. y=1.6x-5
Explanation:
-5-(-8.2)= 1.6
1.6=m
-8.2=1.6(-2)=b
1.6(-2)=-3.2
-8.2-(-3.2)=-5
-5=b
hope this helps =3
If you can answer this correctly i'll give you brainliest
Answer:
A-3n-5=-48+(-45n)
B--5=-48-42n
C--43=-42n
43/42=n
Simplify 5.5.5.5
I’m very confused
Answer:
25
The dot means multiplication. 5.5.5 is 125. 125/5 is 25.
Step-by-step explanation:
Answer:
25Step-by-step explanation:
The . or point means multiply :
5.5.5 / 5
= 125 / 5
= 25
25 is your answer. I think this helps !!!!!
Thank you ☺️☺️
A shoe store stocks 4 pairs of boots for every 5 pairs of athletic shoes. When the store stocks 40 pairs of athletic shoes, how many pairs of boots will they stock?
Group of answer choices
A. 16
B. 20
C. 32
D. 35
Answer:
32
Step-by-step explanation:
40/5=8
8×4=32
Answer:32
Step-by-step explanation:the ratio is 4 boots for every 5 athletic shoe so you divide 40 by 5 and get 8 so you have to multiply 8 by 4 which 32 so when they stock 40 pair of athletic shoes they will also stock 32 pairs of boots
Jacob noticed that on a ruler, 7 inches is equal to 17.78 centimeters. The diagonal of his big screen TV measures 65 inches. Which proportion could Luis use to find x, the length of the diagonal of the computer screen in centimeters? 7.4E
Answer:
x/65= 7/17.78
Step-by-step explanation:
B or witch ever one looks like that
f(x) = -4(x − 8)2 + 3 axis of symmetry
The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer: 66.5 inches
Step-by-step explanation:
The radius of a circle is (x + 9) cm. Find the area of the circle in terms of the variable x. Leave the answer in terms of .
Answer:
Area of Circle = πr²
22/7(x + 9)²
3.14 × (x²+ 81 + 18x)
Which statement describes a process to solve square root b plus six minus square root b =5 Add a radical term to both sides and square both sides only once. Add a constant term to both sides and square both sides only once. Add a radical term to both sides and square both sides twice. Add a constant term to both sides and square both sides twice.
Answer:
Add a radical term to both sides and square both sides twice.
Step-by-step explanation:
Given the radical equation
√(b+6) - √b = 5
We are to evaluate the expression for the value of b
Step 1: Add the radical term √b to both sides
√(b+6) - √b +√b = 5+√b
√(b+6) = 5+√b.
Step 2: Square both sides of the equation
(√(b+6))² = (5+√b.)²
b+6 = 25+10√b+ (√b)²
b+6 = 25+10√b + b
Step 3: collect like terms
b+6-b-25 = 10√b
-19 = 10√b
Step 4: square both sides of the resulting equation
(-19)² = (10√b)²
361 = 100b
b = 361/100
b = 3.61
Based on the calculation above, the correct option is C.
Add a radical term to both sides and square both sides twice.
Answer:
C
Step-by-step explanation:
edg 2021
Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.
Answer:
Equation: [tex]\frac{x + 19}{5} = 8[/tex] Solved: x = 21Step-by-step explanation:
Let x be the number
Write an equation to match the description: [tex]\frac{x + 19}{5} = 8[/tex] Multiply each side by 5 to cancel out the 5 under x + 19. It should now look like this: x + 19 = 40Subtract 19 from each side, so it now looks like this: x = 21I hope this helps!