Step-by-step explanation:
step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out
(Find the distance between each of the following complex numbers. Give your answers in simplified radical form, and show all your work.)
1.) -1+i and -3-4i
2.) 1+i and 7-2i
3.) -3+4i and -6-i
4.) -2+3i and 2-2i
5.) 3 and 5+i
6.) -4+5i and 2-i
Thank you!
Answer:
I) √29
ii) 3√5
iii) 5√5
iv) √41
v) √5
vi) 6√2
Step-by-step explanation:
1)
Given complex numbers -1+i and -3-4i
The points are ( -1 , 1) and (-3 , -4 )
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]
2)
Given complex numbers 1+i and 7-2i
The points are ( -3,4) and (-6,-1)
Distance formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]
[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]
3)
Given complex numbers -3 +4i and -6-i
The points are ( -3 ,4 ) and (-6 ,-1)
[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]
4)
Given complex numbers are -2+3i and 2-2i
The points are ( -2 ,3) and (2 , -2)
[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]
5)
Given complex numbers are 3 and 5+i
The points are( 3,0) and (5,1)
[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]
6)
Given complex numbers are -4+5i and 2-i
The points are ( -4 ,5) and ( 2,-1)
[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]
please help me with this one :(
Answer:
I can assure you, that this is not that hard. but. I will help you with one of them.
Step-by-step explanation:
audience-look it up in the dictionary
it's basically a crowd of people.
sebtence- I listened to the audio of the audio book.
Write the decimal equivalent for 6 1/9
Answer: 6.11
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
6 × 9 = 54
Step 2: Add the product you got in Step 1 to the numerator:
54 + 1 = 55
Step 3: Divide the sum from Step 2 by the denominator:
55 ÷ 9 = 6.111111
That's it folks! The answer to 6 1/9 in decimal form is displayed below:
6 1/9 ≈ 6.11
Answer b.
Hope this answer helps you
Answer: b 6 1/9 = 6.11
Step-by-step explanation: what I did first was figure out the decimal version of 1.9 which equaled to 0.11111 etc. then due to it having a zero in front of it, you just place the in that spot making the answer 6.1111111 :)
hope this helped!
sophias car wash llc specializes in detaling cars. For a pick up truck, sophia charges 30 dollars she also charges a rate of 4 dollars per hour. if sophia charged you 42 dollars how many hours did it take for her to detail your truck
Answer:
3 Hours
Step-by-step explanation:
If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the
number of minutes.
On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels,
Answer:
Graph D is the correct answer
Step-by-step explanation:
The graph of is attached.
The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.
Also, the slope of is 2, and the y-intercept is 2.
Now let us look at the choices given and determine which graph represents the function .
The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.
The second graph has y-intercept of 3—also not our graph.
The third graph also has a y-intercept of 3—this does match our graph either.
The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.
Therefore, the graph that matches our graph is D.
Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete
Answer:
18
Step-by-step explanation:
30*0.4=12
This means 40% of 30 is 12 and Ana has completed 12 problems.
30-12 = 18, so she still needs to do 18 problems.
an even even Function has a graph symmetric about _____, thus ______.
A. x-axis
B. y-axis
C. origin
A. f(x)= f(-x)
B. f(x)= -f(-x)
Answer:
B. y-axis
A. f(x) = f(-x)
HELP ASAP PLEASE!!! senora need 300 grams of a spice mix to put in her pasta dish. The store sells the spice mix by the ounce. there are approximately 28.35 grams in 1 ounce how many ounces of spice mix does senora need, rounded to the nearest hundredth?
Answer: 3,969
Step-by-step explanation:
multiply 140x28.35
please help me!!!!!
Answer:
y=1
-4x + y= -3
-3 + 12= 9
y= {4}x + {3}
Step-by-step explanation:
*there is always a inviable 1 in front of a virable by it's self.*
What is x?
A. 0.75
B. 1.25
C. 1.67
D. 1.33
Answer:
D. 1.33
Step-by-step explanation:
[tex] \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33[/tex]
Cheesy Chicken and Rice has 430 kcals per serving. How many grams of protein are in one serving of the meal if 31% of the kcals come from protein?
Answer: 133,300
Step-by-step explanation:
Given that:
Number of kcals per serving = 430
Percentage of protein in the kcal = 31%
To obtain the number or amount of protein in one serving :
31% of 430
= 0.31 * 430
= 133.3 kcal
I kcal = 1000 gram calories
Hence,
133.3 kcal = (1000 * 133.3) = 133,300 gram calories
A classroom has an area of 3x^2 -4x-7. If the length of the classroom is ( 3x-7), what is the width of the classroom?
Answer: X+1
Step-by-step explanation:
The list shows numbers in order from least to greatest. -34, -2 .-1.5.0.2.3, 10,25 Which is an integer that can be integer on the blank line in the list? 0 -2.5 -2 1 0 -1
Answer:-2
Step-by-step explanation: I think
Answer: -2
Step by step explaination:
a(x) = 5x – 2
a(m – 3) = ?
Answer:
a(m - 3)=5m - 17
Step-by-step explanation:
Hope this helps
What is 4 2/5 times 2 2/3
p: Las Vegas is the capital of Nevada.
q: There are 10 inches in a foot.
Use: pvq
Answer:
P= Carson City
Q= 12 inches long
In order to get a good workout on your treadmill, you figure you have to run 528 feet in one minute. What are the possible numbers of miles you have to run in 20 minutes to exceed this rate? (Hint: 1 mile = 5280 feet)
PLEASE PROVIDE AN EXPLANATION, thank you!
Answer:
2 miles.
Step-by-step explanation: Because 528 times 20 is 10560 then divide by 5280 equaling 2 miles.
15 lb 7 oz - 6 lb 8 oz
Answer: 8.5lbs 7 oz
Step-by-step explanation:
8oz=.5lbs
15lbs 7oz-6.5lbs=
8.5lbs 7 oz
I need help asap thx
Answer:
with what lol
Step-by-step explanation:
Answer:
Theres no question
Step-by-step explanation:
What is the standard deviation of the data set {2,1,1,2,2,3}?
Answer:
0.687
Step-by-step explanation:
step 1: find mean of 6 data values (should be 11/6)
step 2: find the difference of the mean and each of the six data values
step 3: square each of those six differences
step 4: find the mean of the squared values (should be 102/216)
step 5: take the square root of 102/216
Answer:
0.6
Step-by-step explanation:
i just took the test
A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-
4.3
5.5
6.5
8.7
3/4 + 1/12 helppppppppppppppp
Answer:
The answer is 5/6.
Step-by-step explanation:
whats 7, −6, 4, −10, 3 least to greatest
Answer:
-10, -6, 3, 4, 7
Step-by-step explanation:
Hope it helps ^^
What is 6% on a 250$ bike
answer is 15$
250×6:100= 15
Answer:
the answer is 15 dollars
PLEASE HELP WILL MARK BEST!
Tristan and Devin are brother and sister. Their parents put a total of $200 a month into a
college account. Tristan just graduated from high school, and Devin has two years of high school left.
Suppose Tristan and Devin each graduate college 4 years after they graduate high school, and their
parents will continue to put $200 into the college account monthly until both children have graduated
from college. If there is $10,000 in the account right now, how much money should each child get per
year in order to get an equal share?
Answer:
I think the answer is 5,000 .
There are 36 students in Mr. Barrett's math class. If 25% of the students are boys, how many students are girls?
Answer:
27 of the students are girls
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
Answer:
600 acres
Step-by-step explanation:
Hope this helps!
The number of acres of land Mcgregor has 600 acres.
Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of acres be x.
So, 30% of x=180
⇒ 30/100 × x=180
⇒ 0.3x=180
⇒ x=180/0.3
⇒ x=600
Hence, the number of acres of land Mcgregor has 600 acres.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
y=-x-4
4y - 2x = 8
Using the graphing method, which of the following choices is the solution of the system:
ОООО
(-6, -2).
(-4, 0)
Infinite solutions
No solution
Answer:
(-4 , 0)
Step-by-step explanation:
Graph attached
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
A, 2 5/8 cups
Step-by-step explanation:
Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.
The length of segment AE is 5 centimeters. What is the length of segment CD?