5-2i and 7+6i find the midpoint

Answers

Answer 1

That would be (5, -2) and (7, 6) on complex plane. You can use midpoint formula

So that would be ((5+7) / 2, (-2+6) / 2) = (6, 2)

So then answer would be 6+2i

Answer 2

Final answer:

The midpoint between the complex numbers 5-2i and 7+6i is 6 + 2i.

Explanation:

To find the midpoint between two complex numbers, we can use the formula:

Midpoint = (Re(z1) + Re(z2))/2 + (Im(z1) + Im(z2))/2i

Applying the formula to the given complex numbers 5-2i and 7+6i, we have:

Midpoint = (5 + 7)/2 + (-2 + 6)/2i
Midpoint = 12/2 + 4/2i
Midpoint = 6 + 2i

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Related Questions

A particular model of walkie talkie can broadcast in a circular .the radius of the broadcast area is 10,000 feet. find the area of the circle to the nearest square foot use 3.14 for pi

Answers

A = pi * r * r

A = 3.14 * 10000 * 10000 = 314000000 ft^2

The graph of a hyperbola is shown. what is the length of the transverse axis

Answers

the transverse axis is the distance between the two vertices ( where the lines cross the x axis)

the one on the left is at (0,-9) the one on the right is st (0,9)

distance between -9 and 9 = 18

the length of the transverse axis is 18

The length of the transverse axis is 18 units.

What is the transverse axis of a hyperbola?

"The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints."

Given, the vertices of the hyperbola are at (-9, 0) and (9, 0).

Therefore, the length of the transverse axis is

[tex]= (9+9) units\\= 18 units[/tex]

Therefore, the length of the transverse axis is 18 units.

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Find the sum of these polynomials.

(x2 – x + 7) + (9x2 + 6) =

Answers

Hi there! The answer is B.

[tex]( x^{2} -x+7)+(9 x^{2} +6)[/tex]
First work out the parenthesis.

[tex] x^{2} -x+7+9 x^{2} +6[/tex]
Rearrange the expression.

[tex] x^{2} +9 x^{2} -x+7+6[/tex]
Now collect the terms.

[tex]10 x^{2} - x+13[/tex]
The answer is B.

~ Hope this helps you!

Answer:B

Step-by-step explanation:

The solid shown are composed of prisms and half cylinders. Find the volume of the solid. Round to the nearest whole number.

Answers

dis too hard for me, plz vote brainliest and give me ur paypal for free answers

The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot.
PLEASE DO THE WORK AND SHOW ME!!!!!
Please answer, and I'll ask this and I'll do the question again, and I'll do the same points.
Please thankyou
No jokes!!!!!!!!!

Answers

Final answer:

To find the dimensions of the raised vegetable garden, we need to solve for the length and width using the given volume and height.

Explanation:

To find the volume of the raised vegetable garden, we multiply the area of the base by the height. In this case, the base is a rectangle, so its area is length times width. Let's call the length of the garden L and the width W. The volume (V) is given as 48 cubic feet and the height (H) is 3/4 foot. Therefore, we have the equation V = L x W x H. Substituting the given values, we get 48 = L x W x 3/4. To solve for L and W, we need to choose possible values for them that satisfy the equation. Let's start by considering possible values for L and W: L = 16 feet and W = 3 feet. Substituting these values into the equation, we have 48 = 16 x 3 x 3/4. Simplifying, we get 48 = 144/4, which is not true. Therefore, our initial guess for the values of L and W is incorrect. Let's try another set of values: L = 12 feet and W = 4 feet. Substituting these values into the equation, we have 48 = 12 x 4 x 3/4. Simplifying, we get 48 = 144/4, which is true. Therefore, the raised vegetable garden is 12 feet long and 4 feet wide.

Jill earns $18.59 per hour. what is her gross earnings if she worked 46 hours. jill earns time and a half for overtime work.

Answers

We assume Jill's full-time work week is 40 hours, so that any hours in excess of that are overtime.

There are a couple of ways to think about overtime pay.
1) Figure the number of overtime hours, and multiply that number by 1.5 times the base pay. (OT pay) = (OT hours)*(1.5*(base pay))

2) Figure the number of overtime hours, and multiply that number by 1.5, then by the base pay. (OT pay) = ((OT hours)*1.5)*(base pay)

You can see the product is the same, only the sequence of computation is changed.

Then Jill's gross earnings can be computed as ...
(40 h +(6 h)*1.5)*(base pay)
(49 h)*($18.59/h) = $910.91

Jill's gross earnings for 46 hours' work will be $910.91.

SOMEONE PLEASE PLEASE HELP ASAP

Answers

The correct answer is A. NGNGA

To find a sequence is arithmetic, we are going to find its common difference: [tex]d=a_{n}-a_{n-1}[/tex]
where
[tex]d[/tex] is the common difference
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence
To find if a sequence is geometric, we are going to find its common ratio:
[tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
where
[tex]r[/tex] is the common ratio
[tex]a_{n}[/tex] is the current term in the sequence
[tex]a_{n-1}[/tex] is the previous term in the sequence

1) 3,4,6,10,18
For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]d=a_{n}-a_{n-1}[/tex]
[tex]d=4-3[/tex]
[tex]d=1[/tex]
For [tex]a_{n}=6[/tex] and [tex]a_{n-1}=4[/tex]:
[tex]d=6-4[/tex]
[tex]d=2[/tex]

For [tex]a_{n}=4[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
[tex]r= \frac{4}{3} [/tex]
For [tex]a_{n}=6[/tex] and [tex]a_{n-1}=4[/tex]:
[tex]r= \frac{6}{4} [/tex]
[tex]r= \frac{3}{2} [/tex]
We can conclude that the sequence is neither arithmetic nor geometric.

2) [tex] \frac{25}{4} , \frac{5}{2} ,1...[/tex]
For [tex]a_{n}= \frac{5}{2} [/tex] and [tex]a_{n-1}= \frac{25}{4} [/tex]:
[tex]d=a_{n}-a_{n-1}[/tex]
[tex]d=\frac{5}{2}-\frac{25}{4}[/tex]
[tex]d=- \frac{15}{4} [/tex]
For [tex]a_{n}=1[/tex] and [tex]a_{n-1}= \frac{5}{2} [/tex]:
[tex]d= 1-\frac{5}{2}[/tex]
[tex]d= -\frac{3}{2} [/tex]

For [tex]a_{n}= \frac{5}{2} [/tex] and [tex]a_{n-1}= \frac{25}{4} [/tex]:
[tex]r= \frac{a_{n}}{a_{n-1}} [/tex]
[tex]r= \frac{\frac{5}{2} }{\frac{25}{4} } [/tex]
[tex]r= \frac{2}{5} [/tex]
For [tex]a_{n}=1[/tex] and [tex]a_{n-1}= \frac{5}{2} [/tex]:
[tex]r= \frac{1}{\frac{5}{2}} [/tex]
[tex]r= \frac{2}{5} [/tex]
We have a common ratio, we can conclude that the sequence is geometric.

3) [tex] \frac{2}{3} , \frac{4}{6} , \frac{8}{9} ...[/tex]
For [tex]a_{n}=\frac{4}{6}[/tex] and [tex]a_{n-1}= \frac{2}{3}[/tex]:
[tex]d=\frac{4}{6}-\frac{2}{3}[/tex]
[tex]d=0[/tex]

For [tex]a_{n}=\frac{4}{6}[/tex] and [tex]a_{n-1}= \frac{2}{3}[/tex]:
[tex]r= \frac{\frac{4}{6}}{\frac{2}{3}} [/tex]
[tex]r=1[/tex]
For [tex]a_{n}=\frac{8}{9}[/tex] and [tex]a_{n-1}= \frac{4}{6}[/tex]:
[tex]r= \frac{\frac{8}{9}}{\frac{4}{6}} [/tex]
[tex]r= \frac{4}{3} [/tex]
We can conclude that the sequence is neither arithmetic nor geometric.

4) 3,15,75...
For [tex]a_{n}=15[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]d=15-3[/tex]
[tex]d=12[/tex]
For [tex]a_{n}=75[/tex] and [tex]a_{n-1}=15[/tex]:
[tex]d=75-15[/tex]
[tex]d=60[/tex]

For [tex]a_{n}=15[/tex] and [tex]a_{n-1}=3[/tex]:
[tex]r= \frac{15}{3} [/tex]
[tex]r=5[/tex]
For [tex]a_{n}=75[/tex] and [tex]a_{n-1}=15[/tex]:
[tex]r= \frac{75}{15} [/tex]
[tex]r=5[/tex]
We have a common ratio, we can conclude that the sequence is geometric.

5) 5,-11,-27
For [tex]a_{n}=-11[/tex] and [tex]a_{n-1}=5[/tex]:
[tex]d=-11-5[/tex]
[tex]d=-16[/tex]
For [tex]a_{n}=-27[/tex] and [tex]a_{n-1}=-11[/tex]:
[tex]d=-27--11[/tex]
[tex]d=-27+11[/tex]
[tex]d=-16[/tex]
We have a common difference, we can conclude that the sequence is arithmetic.

Tanisha cut a triangle with angles of 34°, 67°, and 79° in three pieces so that each piece had one angle of the triangle. She arranged the three angles connected together such that the three corners of the triangle were all touching. What type of angle was formed and what does this show?

Answers

A straight angle was formed when Tanisha arranged the three angles. This shows that the sum of the measures of the three angles in the triangle is equal to the straight angle, that is, the angle sum is 180 degrees. Also, this shows that whatever the position of the three sides of the triangle is, the total degrees of the angles is always 180.

Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen

Answers

For a rotation of 90o: (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)

see the attached figure

What proportion is more than 2.0 standard deviations from the mean?

Answers

the emeperical rule or 68-95-99.7% rule gives the approximate percentage of the data that fall within or standard deviation (68%) two standard deviations (95%) and three standard deviations (99.7%) of the mean. this rule should be applied only when the data is approximately normal.

Final answer:

The proportion of data more than 2.0 standard deviations away from the mean in a normal distribution is less than 5%, consisting of 2.5% in the upper tail and 2.5% in the lower tail.

Explanation:

The proportion of values more than 2.0 standard deviations from the mean in a normal distribution is less than 5% because according to the empirical rule, 95% of the data falls within 2 standard deviations of the mean. Therefore, if you are looking at a normal distribution and you want to know the proportion of data that lies beyond 2 standard deviations from the mean, you would subtract 95% from 100%, which is 5%. This is then split between both tails of the distribution, so you have 2.5% in the upper tail and 2.5% in the lower tail, for a total of 5% more than 2 standard deviations away from the mean.

Trica's mother let her play outside for 15 minutes. When she went outside,she played with her dog for 5 minutes.Then she rode her bike for 4 minutes .She spent the rest of her time catching bugs.how many minutes did Trica spent catching bugs?

Answers

to get the answer, you subtract the time she spent playing with her dog (5 minutes) from 15. 15-5=10. then you subtract the time she rode her bike (4 minutes). 10-4=6. since there are 6 minutes left, she spent 6 minutes catching bugs

easy 6 minutes because the other minutes trica spent doing something else equal 9 minutes and we need 15 minutes so 6 +9 =15 right so that is y it is 6 ur welcome

What is the domain of the function log(x-4) +4?

Answers

[tex]\log(x-4)+4\\\\\text{the domain:}\\\\x-4 > 0\ \ \ |+4\\\\x > 4\to x\in(4;\ \infty)[/tex]

the log of 0 is not defined, so the criterion to use here is that the input to the log function must be greater than zero.

Thus, x-4 ≥ 0, or x ≥ 4 (answer)

Express the number as a ratio of integers. 3.469 = 3.469469469

Answers

If you're looking for a fractional representation of the non-terminating decimal,
3.469469469....
then:

Let x=3.469469469.....
then
1000x-x=(3469.469469469...) - (3.469469469....)
999x = 3466
x=3466 / 999
= 3+469/999
[tex]=3\frac{469}{999}[/tex]

Please help the answer are
12
4
X
X+4
-16
16
X+12
X^2

Answers

Step 1:
x² + 4x = 192

Step 2:
Take x common:
x ( x + 4) = 192

Length is x and width is x+4

Step 3:

x² + 4x - 192 = 0

Step 4:

x² + 16x - 12x - 192 = 0
x(x+16) - 12(x+16) = 0
(x-12)(x+16) = 0

⇒ x=12, x=-16

Because the length can't be -16, the length is 12.

Step 2: {4, x+4}
Factoring x²+4x, you get x(x+4). If you call the length x, then the width is the other factor, x+4.

Step 4: {16}
You know this two ways. -192/-12 = 16, and 4 -(-12) = 16, where 4 is the coefficient of x in step 3.

Last line: {-16, 16}
The values of x that make the factors zero are -16 and 12. Since these are supposed to represent lengths, an appropriate answer cannot be negative (-16). The width is x+4 = 12+4 = 16.

Expression for calculation divided 10 in half and subtract from 50 divided into fifth

Answers

(10/2)-(50/5)

so 10/2=

5

50/5

10

subtract 5-10

-5 is your answer

^o^

name the shaded region in three equivalent forms 2/3 in to a fraction,decimal, and percent

Answers

Fraction: 2/3

Decimal: .33 (for middle schoolers I suppose)

Percent: 33% (Please Learn you math)

I hope this helped you

need help to do this

Answers

A graphing calculator can help you visualize the function and its various behaviors.

6. The horizontal and vertical asymptotes are y=1, x=4, and there is a "hole" at x=-2. The appropriate choice is ...
F. Oblique asymptote y = 0

8. The denominator has degree 2 more than the numerator, so the end behavior will tend toward 0 as x gets large. The appropriate choice is ...
J. As x → ±∞, f(x) → 0

Hey can you please help me posted picture of question

Answers

C.
____________________

G(x) = F(x + 4) + 2

Addition of a number to x indicates a shift towards left. Since 4 is being added to x, this means function is shifted to left by 4 units.

Addition of a number to the function represent an upward shift. Since 2 is being added to the function value, this mean function is shifted up by 2 units.

So, G(x) is obtained by shifted F(x) 4 units to left and 2 units up.

Thus, option C is the correct answer

please help.............

Answers

Any of several graphing calculators are suitable for this. Desmos is a free on-line one that is easy to learn and use.

you and your friend are both knitting scarves for charity . you knit 8 rows each minute and have already knitted 10 rows . your friend knits 5 rows each minute and has already knitted 19 rows . when will you both have knitted the same amount of rows ?

Answers

To find when you both would have knitted the same amount of rows, you will list the multiples of the numbers 5 and 8. The reason is that you knit this many each minute.

5, 10, 15, 20, 25, 30, 35, 40 (after 8 minutes)
8, 16, 24, 32, 40 (after 5 minutes)

You and your friend will knit the same number of rows after 8 minutes for you and 5 minutes for your friend.

After 3 minutes you both have knitted the same amount of rows.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, You knit 8 rows each minute and have already knitted 10 rows.

Your friend knits 5 rows each minute and has already knitted 19 rows.

Assuming t is the time when will you both have knitted the same amount of rows,

8t + 10 = 5t + 19.

8t - 5t = 19 - 10.

3t = 9.

t = 3 minutes.

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There are 3 teams of 18 employees working today. Company
policy says that we need to have 1 supervisor for every 8 employees on the floor. We need ....

Answers

Final answer:

The total number of employees working is 54. According to company policy requiring 1 supervisor for every 8 employees, 7 supervisors are needed to comply with this policy.

Explanation:

To find how many supervisors are required, we first need to know the total number of employees working. Since there are 3 teams of 18 employees, the total number of employees is 3 teams * 18 employees per team = 54 employees. Company policy requires 1 supervisor for every 8 employees. Therefore, we divide the total number of employees by the supervisor to employee ratio: 54 employees / 8 employees per supervisor = 6.75. Since we cannot have a fraction of a supervisor, we round up to the next whole number, making it 7 supervisors needed in total.

So, the supervisor would say: "We need 7 supervisors working tonight so we should be OK."

Sierra's swimming lessons last 1 hour 20 minutes.she finished her lesson at 10:50 am.at what time did her lesson start?

Answers

9 hours and 30 minutes because:
if the time she finished is 10.50 and her lessons are an hour and 20 minutes long you subtract the finishing time to the time it takes for her lesson.

10.50-1.20=9.30
just used a calculator but mental math is usable for this problem.
LOVE YOU

The time at which her lesson start is 9:30 am.

How are number of people to time needed to complete a task related?

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Time= 1 hour 20 minutes

Now,

To find the time when Sierra’s lesson started, you need to subtract the duration of her lesson from the time when she finished. You can do this by subtracting the minutes and then the hours.

First, subtract 20 minutes from 10:50 am. To do this, you can take away 10 minutes to get 10:40 am and then take away another 10 minutes to get 10:30 am.

Next, subtract 1 hour from 10:30 am. To do this, you can take away 60 minutes or simply reduce the hour by 1. Either way, you get 9:30 am.

Therefore, by work and time the answer will be 9:30 am.

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Identify the figure formed by the net.

•Square pyramid
•Hexagonal prism
•Cylinder
•Cube

Answers

Hello!

the answer is CUBE

I hope this helps, and have a nice day!

you deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. how much interest does the account earn after 4 years?

Answers

Final answer:

To find the amount of interest earned on a bank account after 4 years, use the compound interest formula. After plugging in the values, the account earns approximately $162.89 in interest.

Explanation:

To calculate the amount of interest earned on a bank account after 4 years, we need to use the formula for compound interest: A = P(1 + r/n)^(nt) - P. In this case, the initial deposit (P) is $3000, the annual interest rate (r) is 1.25%, compounded semi-annually (n = 2), and the time period (t) is 4 years. Plugging in these values, we get:

A = 3000(1 + 0.0125/2)^(2*4) - 3000

Solving this equation, we find that the account earns approximately $162.89 in interest after 4 years.

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Consider the following grsph of a quadratic function.

Answers

y=a(x+4)(x+2)
[tex]y=\frac{7}{8}\left(x+4\right)\left(x+2\right)[/tex]

At the ice-cream parlor you can choose from 4 flavors of ice cream, 2 types of sauce, and 3 different toppings when ordering a sundae. How many possible sundaes can be ordered?

Answers

possibilities are 4*2*3 = 24 different sundaes

Find the measure of each angle

Answers

using the rules of complimentary angle, vertical angles, etc:

9 = 180 - 60 = 120
10 = 180 -80 = 100
6 = 9 = 120
5 = 60
4 = 80
7 = 10 = 100
1=60
3 = 80
2 = 180 - 60 - 80 = 40
8 = 1 = 60

two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?

Answers

Answer:

120°

Step-by-step explanation:

Hey can you please help me posted picture of question

Answers

6(6 sided) choices for the die, and 8 choices(sections), so there are 6*8 = 48 total possibilities :)

there are 6 numbers on a die

the spinner has 8 sections

total possibilities = 6 x 8 = 48
the answer is B.

Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4

Answers

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

_____
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

Final answer:

The lowest common denominator of the fractions 5/(n-2) and[tex](n+2)/(n^2-4)[/tex] is[tex]n^2 - 4,[/tex] which is the factored form of the denominator of the second fraction.

Explanation:

The question asks to find the lowest common denominator (LCD) of two fractions: 5/(n-2) and (n+2)/[tex]n^2 - 4,[/tex]. To do this, we need to factor each denominator, if possible, and then determine the LCD. The second denominator can be factored into (n+2)(n-2) since it is a difference of squares. For the LCD, we need each factor present at least as many times as it occurs in any one of the denominators. The first fraction is already missing the (n+2) factor, so we multiply the numerator and the denominator of this fraction by (n+2) to have an equivalent fraction with the common denominator.

The common denominator then is (n+2)(n-2), equivalent to[tex]n^2 - 4,[/tex] So the LCD of the two fractions is[tex]n^2 - 4.[/tex] We can use this denominator to combine fractions or compare them. No further steps are necessary because the second fraction already has the LCD. Therefore, the LCD for both fractions is [tex]n^2 - 4.[/tex]

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