Simplify (12+3i)−(−5+2i)

Answers

Answer 1

Answer:

17+5i

Step-by-step explanation:

add the like terms

double negative equals positive

;)

Answer 2

Answer:

17  +  i

Step-by-step explanation:


Related Questions

Answer all for brainliest asap pls

Answers


1.

Since ABCD is a rectangle, then

angleABE = 90 degrees

angle ABE + angle BEA + 41 = 180

Substitute the known and solve for angle BEA

angle BEA + 41 = 90

angle BEA = 49 degrees

But,

x + angleBEA + 61 = 180 (angles in a straight line)

x = 180 - 61 - 49

x = 70 degrees

2.

triangle XYZ is equilateral, meaning all angles in it are the same, each 60 degrees.

Therefore,

Angle YZX = 60

But Angle YZX = x + 32 (exterior angles equal to the sum of the two opposite interior angles)

60 = x + 32

Therefore,

x = 28 degrees

3.

Angle QPR = Angle QRP (equal oppo sides, equal opposite angles)

Therefore, 2angleQRP + 64 = 180 (angle sum of a triangle)

Angle QRP = 58 degrees

But angle QRP = x + 35 (exterior angles equal to the sum of the two opposite interior angles)

58 = x + 35

x = 23 degrees

Answer:

See below:

Step-by-step explanation:

For the first one, we know <ABC is 90 degrees due to it being a rectangle.

Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.

We know that the sum of angles in a triangle are 180 degrees therefore:

If we solve that, we get that y is 49 degrees.

Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.

We now know that x is 70 degrees

For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.

What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.

Therefore <XZW is 120 degrees.

Now, all angles inside a triangle are always 180 degrees so therefore:

[tex]x=180-(120+32)\\x=28[/tex]

For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.

On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.

evaluate 102 what is the answer

Answers

Answer:

10404

Step-by-step explanation:

find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division

Answers

I can’t really do long division on a phone so, extended techniques are required.

(x^3 - 2x^2 + 6x + 3)/(x-3)

= (x^3 - 3x^2 + (x^2 - 6x + 9)+ 12x - 6)/(x-3)

= (x^2(x-3) + (x-3)^2 + 6(2x - 1))/x-3

= x^2 + x - 3 + 6(2x - 1)/(x-3)

or

= x^2 + x - 3 remainder 12x - 6


or, in the form p(x) = q(x)d(x) + r(x):


(x^3 - 2x^2 + 6x + 3) = (x^2 + x - 3)(x - 3) + (12x - 6)

which implies that the quotient q(x) = (x^2 + x - 3) and remainder r(x) = 12x - 6

Geometry


2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
C
B
D
5
6
2
Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image A'BCD.
The slope of CD's

Answers

Answer:

the slope is 13

Step-by-step explanation:

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x = 27

Step-by-step explanation:

similar triangles

26/18 = 39/x

      x = 39(18/26)

      x = 27

could also use

39/x = (39 + 26) / (x + 18)

to get to the same result

39(x + 18) = x(39 + 26)

39x + 702 = 39x + 26x

         702 = 26x

              x = 27

or

18/x = 26/39

    x = 18(39/26)

    x = 27

Sean has a box of pens. The box contains 6 blue pens, 8 black pens and 3 red pens. Some more blue pens are added to the box. The probability of selecting a blue pen is now ½. How many blue pens were added to the box?

Answers

Answer:

5

Step-by-step explanation:

Well, since the probability of blue pens is 1/2 you'll have to add the number of pens that is not blue. So that'll be 8+3 which equals 11. We currently have 6 blue pens and we need to add up the pens which will get 11. 11-6 equals 5, and that is the number of pens you will have to add.

Also, I'm not an expert at this so please check the work before you answer !

If the quotient of 5/8 and 1/4 is subtracted from the product of 1 1/2 and 3 1/5, what is the difference?

Answers

Answer:

.,l;'fnfcy

Step-by-step explanation:

gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll

What is 21 divided by 654

Answers

Answer:

Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one

so 21 goes into 65 3 times maximum

so 21*3 is 63

so we subtract 63 and put a 3 on top

so eventually you’d get 31.142857 (never ending decimal)

So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you

so 31 1/7 is the final answer

*HIGH SCHOOL* please help me with this

Answers

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

5/12+(-3/4) what is the answer

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

5/12+(-9/12)

5/12 - 9/12 = -4/12

-4/12 = -1/3

How do you Round 245.456 to the nearest hundredth ?

Answers

Answer:

245.46

Step-by-step explanation:

the hundredth point is represented by the "5" after the decimal, it goes like this

hundred, ten, one . tenth, hundredth, thousandth

2 4 5 . 4 5 6

so when you find the point you need to round to, if the number after it, is greater than five, the "hundredth" place goes up one

I hope this makes sense

1. Look at the third number after the decimal place - if it is 5 or above round up, and if it’s 4 or below round down
2. 6 is above 5 so we round up to 245.46
3. Answer = 245.46

TIP: Rounding to the nearest hundredth is the same as rounding to two decimal places

Hope this helps!

Need Done ASAP Please Help will give brainliest
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
A. g(x) is shifted 3 units to the right and 1 unit up.
B. g(x) is shifted 3 units to the right and 1 unit down.
C. g(x) is shifted 3 units to the right and reflected over the x-axis.
D. g(x) is shifted 3 units to the left and reflected over the x-axis.

Answers

The difference between the functions f(x) and g(x) is the addition of a

constant to the value of x and changing

the sign of the output.

The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and

reflected over the x-axis.

Reason:

The addition of a positive constant term to the input variable of a function,

shifts the graph to the left of the graph of

the parent function.

Please find attached the image of the graph of f(x), which is g(x) shifted to

the left by 3 units.

Step-by-step explanation:

Changing the sign of the output value from positive to negative;

When the output value of a function is changed from positive to negative,

and vice versa, it is equivalent to a reflection across the x-axis.

Therefore, the function g(x) is a reflection across the x-axis.

Therefore;

g(x) is shifted 3 units to the left and

reflected over the x-axis.

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.

Answers

Answer:

Step-by-step explanation:

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length

and width of the rectangle.

please help me!!! I'll give you 40 points.
construct the bisector of the following figures​

Answers

Answer:

divide the given line into halves

Alex is 70% of her weekly paycheck automatically deposited into a savings account. This week $35 is deposited. Alex wants to know the total amount of your paycheck this week.
which expression shows how to p the total amount of alex's paycheck

Answers

Answer:

Expression B

Step-by-step explanation:

70. 35

----- = -----

p. 100

Suppose triangle ABC = triangle LMN, and the side lengths of triangle ABC are as shown in the table
Side Length (cm)
AB 5.2
BC 8.4
AC 7.8
What is the longest side in triangle LMN?
A.) LM
B.)LM
C.)NL
D.)NM

Answers

The longest side i triangle LMN is NL

Find the measure of the exterior angle.
(5x+2)
6x
90

Answers

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138

hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!​

Answers

You want to combine like terms :). This means the terms that are the same will be added or subtracted depending on their sign at the beginning.
1) x^2 +x+3-4x
Rearrange first to put like terms together

X^2 +x-4x +3

Your answer to a would be…
x^2 -3x+3
Lmk if you would like me to do another problem for extra practice!
Hope that helps!



What are the coordinates of the point shown on the
coordinate plane?


Answers

Answer:

The coordinate is (5,4)

the x=5

the y=4

4 and 5

Step-by-step explanation:

on y axis it is 4

while on x axis it is 5

based on the point

How many solutions are there to the equation below?

4(x - 5) = 3x + 7

A. No solution

B. Infinitely many solutions

C. One solution

Answers

Answer:

C. one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

x = 27

True or false
You can find equivalent ratios by
multiplying or dividing each term of the ratio by the same
number.

Answers

True, because Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.

Answer:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.

Step-by-step explanation:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.

Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)

Answers

Answer:

34

26

8

Step-by-step explanation:

 

solve pls brainliest

Answers

Answer:

Well mixed number is something with a whole.

Remeber a decimal goes by the place value of tenths right away.

Now if you follow along 1.43 is basically saying 1 and 43 hundreths  

Becuase normal place value go

tenths

Hundreths

thousandths

ten thousandths

hundred thousandths

millionth

etc.

and that Saying 1 43/100

So your mixed number is 1 43/100

Your improper would jsut be

Multiplying the denominator with the whole number

Then add that product to the numerator, keep the denominator the same

so 143/100

Write the numbers below in order
from least to greatest.
1.4 10.4 1.45 1.54 10.54

Answers

Answer:

Step-by-step explanation: 1.4  -  1.45  -  1.54  -  10.4  -  10.54  

Least to greatest

Find 40% of 60 please help i am really struggling!!!

Answers

Answer:

24 is the answer

Step-by-step explanation:

The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=24

40% of 60

40/100x60

=0.4x60

=24

Solve the inequality and graph the solution on the line provided.
−18+8x ≥ -50

Answers

Answer:

The graph i cant explain but go on mw  and look up -18+8x -50 n tap the arrow and then push graph

Step-by-step explanation:

Inequality Form:

x≥−4

What is 8/9 + 1/6 as a fraction

Answers

Answer:

[tex]\frac{19}{18}[/tex]   or   [tex]1 \frac{1}{18}[/tex]

Step-by-step explanation:

First, both fractions need to have a common denominator.

The LCM of 9 and 6 is 18.

[tex]\frac{16}{18} +\frac{3}{18}[/tex]

Add the numerators.

You get: [tex]\frac{19}{18}[/tex]

The mixed number form is [tex]1 \frac{1}{18}[/tex]

The expression  [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

In order to add fractions, it is essential to determine a common denominator.

The common denominator is [tex]9 \times 6 = 54.[/tex]

Now, let's convert the fractions to have the common denominator:

When we multiply the fraction 8/9 with 6 in numerator and denominator we get 48/54.

[tex]\frac{8}{9}= \frac{8}{9} \times \frac {6}{6}[/tex]

[tex]= \frac{48}{54}[/tex]

Now multiply the fraction 1/6 with 9 in numerator and denominator to make 54 in denominator:

[tex]\frac{1}{6}= \frac{1}{6} \times \frac {9}{9}[/tex]

[tex]= \frac{9}{54}[/tex]

Now, we can add the fractions:

[tex]\frac{48}{54} + \frac{9}{54} = \frac{(48 + 9)}{54}[/tex]

[tex]=\frac{57}{54}[/tex]

Despite this, we have the option to simplify the fraction by dividing both the numerator and the denominator with their greatest common divisor, which is 3.

[tex]\frac{57}{54} = \frac{19}{18}[/tex]

Therefore, [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ4

Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.

Answers

22 because you take the smallest and largest number and subtract them so you do 81-59=22

Ryan is 6 years older than his sister, Naomi. The sum of their ages is 40. Find their ages.

Answers

Answer:

Ryan is 23 and Naomi is 17.

Step-by-step explanation:

Find the midpoint of 40. This is 40/2, or 20.

Because the difference in age is 6, but the total of the ages must add up to 40, you must also halve 6. 6/2 is 3.

Take away three and add three to 20.

20 + 3 = 23. This is Ryan's age as he is the older sibling.

20 - 3 = 17. This is Naomi's age.

Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.

Answers

Answer:

16.13

Step-by-step explanation:

Other Questions
Someone plz help me :( One of the key components of successful rock and roll is improvisation. True False Element X is in group 2, and element Y is in group 7, of the periodic table. which ions will be present in the compound formed when X and Y react together?A) X^+ and Y^-B)X^2+ and Y^-C)X^+ and Y^2-D)X^2- and Y^+ Which one of the following is an example of extensiveproperty?a Hardinessbe Densitya Meliting pointd. Electrical resistanceClear my choice A.iayos ang mga salita ng paalpabeto A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place? Help me please! Rewarding brainliest and 50 points be quick! In the second paragraph, identify two central ideas in "The Benefits of Reading and Writing Extend Beyond the Classroom," and detail some of the textual evidence the writer includes in that piece. Explain the relationship between the central ideas you've identified and the textual evidence you've detailed. Be as specific as possible. Brainiest for correct answer do you think my jokes are funnyWhy did the melon jump into the lake? It wanted to be a water-melon.What did the duck say when it bought lipstick? Put it on my bill.What do you call a pig that does karate? A pork chop.What has a bed that you cant sleep in? A river.Why were the teachers eyes crossed? She couldnt control her pupils.What starts with E, ends with E, and has only 1 letter in it? An Envelope.How does the ocean say hello? It waves. Based on the video excerpt, what was Reagans purpose for giving this speech? Check all that apply Plzzzzzx help meeeeee i have more coming in like 1 minute can you please fin x and y Write an expression for the operation described below.the product of r and s You fill a 22-cm-tall container with glycerol so thatthe glycerol (density 1260 kg/m) reaches the11-cm mark. You place an oak cube(density 900 kg/m) into the container. Ech sideof the cube is 11 cm. From which location does seafloor spreading originate?mid-ocean ridgesedges of continentsdeep-ocean trenchesunderwater volcanoes Please help me! I will mark brainliest if correct! (Question is in the image shown) PLS I NEED HELP FOR THIS! combine using not only but also he told me to rest and to eat fruits What evidence from the text supportsthe analysis that the youngestprincess is different from her sisters?Select all that apply.