Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)

Answers

Answer 1

Answer:

- 2 - 5i

Step-by-step explanation:

Given

(4 + 2i) + (- 6 - 7i) ← remove the parenthesis

= 4 + 2i - 6 - 7i ← collect like terms

= - 2 - 5i


Related Questions

2. A line or line segment perpendicular to a line segment at the midpoint of the segment is a...

Answers

Answer:

A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.

Step-by-step explanation:

perpendicular bisector

Is 10x=10x equal infinitely many?

Answers

yes because if you put any number as “x” you will always get the same answer.

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point) 8 over 32 multiplied by 8 over 31 8 over 32 plus 8 over 31 8 over 32 plus 7 over 31 8 over 32 multiplied by 7 over 31

Answers

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

i think this is the answer not quite sure tho

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

PLZ ANSWER QUICKLY, I NEED THIS SOON, thx :) If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D. Which property is shown? reflexive property substitution property symmetric property transitive property

Answers

Answer:

Substitution Property

I need help on this question please

Answers

Answer:

a, c, and f

Step-by-step explanation:

becuase i took the test

2.9 x 10^5 + 8.7 x 10^5

Answers

Answer:

So this is scientific notation what you do is

2.9x10^5 so you put however many zeros the is powered to 10. See there is a 5 It has to be behind or in front of the decimal you might be saying how do you know if its behind or in front well negative is in front and positive is behind .

290,000 there was a number already behind the decimal so there you go 5 number behind the decimal.  

Same for the second one

290,000  870,000 is your answers so now you add hem together

1,160,000 is your final answer

Step-by-step explanation:

F(1)=2
F(n)=-3f(n-1)+[f(n-1)]^2 ?

Answers

Answer:

Step-by-step explanation:

Umm


The area of the football field is 57,600 square feet. If the width of the field is the length,what is the length of the football field?

Answers

Answer:

240

Step-by-step explanation:

57600=10×24×10×24

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \frac{6}{20} \: \: \: {ft}^{2} }}}}}[/tex]

Option D is correct.

Step-by-step explanation:

Length of the rectangle = [tex] \sf{6 \frac{4}{5} \: ft}[/tex]

Width of the rectangle = [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

Finding the area of a rectangle having length of [tex] \sf{6 \frac{4}{5} \: ft}[/tex] and width of [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

[tex] \boxed{ \sf{area \: of \: a \: rectangle = length \times width}}[/tex]

[tex] \dashrightarrow{ \sf{6 \frac{4}{5} \times 4 \frac{3}{4} }}[/tex]

Convert the mixed number into improper fraction

[tex] \dashrightarrow{ \sf{ \frac{6 \times 5 + 4}{5} \times \frac{4 \times 4 + 3}{4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{30 + 4}{5} \times \frac{16 + 3}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{34}{5} \times \frac{19}{4}}} [/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

[tex] \dashrightarrow{ \sf{ \frac{34 \times 19}{5 \times 4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{646}{20} }}[/tex]

Convert the improper fraction into mixed number

[tex] \dashrightarrow{ \boxed{ \sf{32 \frac{6}{20} \: \: {ft}^{2} }}} [/tex]

Hope I helped!

Best regards! :D

-(x+3) = 2x-6 what is x

Answers

Answer:

x=1

Step-by-step explanation:

So, first you make sure to multiply the parenthesis by the negative so then it would be,

-x-3=2x-6

Then you add the -3 from the right to the other side

so, -x=2x-3

Then you want all the X variables to one side so you subtract the 2x to both sides.

so, -3x=-3

divide both by -3

x=1

is the answer A),B),C) or D)?

Answers

Answer:

D) 2a-6

Step-by-step explanation:

Graham sold 6 less = -6

Than double what Adriania sold. = 2a

2a - 6

What is the value oíz in the equation 3x - y = 13, when y=272
05
45

Answers

Ummmm .. I think this should answer your question I think

Whta is 80 - (-9) = explain pls

Answers

Answer:

80 - (-9) = 89.

Explanation:

In math, two negatives next to each other will become a positive. Since a negative number is being subtracted, The negatives will cancel.

So this:

80 - (-9)

Is functionally the same as this:

80 + 9

Therefore, the answer is 89.

2. True or False: The point of intersection of the x-axis and the y-axis on a coordinate plane is the origin.

Answers

Answer:

true

Step-by-step explanation:

Answer: true

Step-by-step explanation:

If you shift the quadratic parent function, f(x) = x2,right 12 units, what is the
equation of the new function?
A. g(x) = x² + 12
B. g(x) = x2 - 12
ООО
C. g(x) = (x - 12)
D. g(x) = (x + 12)

Answers

The answer is c I’m pretty sure

Perform the indicated row operations



Answers

Answer:

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Step-by-step explanation:

Given matrix is,

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

Operations performed,

-10R₂ → R₂

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

3R₃ → R₃

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Answer:

the multiple choice is A

Step-by-step explanation:

Sonjesa found a job in advertising that pays a yearly salary of $47,300. What is her weekly salary?
$6,757.14
$909.62
$985.42
$3,941.67

Answers

Answer:

$909.62

Explanation:

If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...

$47,300 / 52 weeks = weekly salary

47300 / 52 = 909.615

If we round that equals $909.62

Hope this helps!

Miss bird can make 8 sculptures in 6 months. If she prepared 12 sculptures, how much time would she take

Answers

Answer:

9 months

Step-by-step explanation:

8 sculptures....... 6 months

12 sculptures...... X months

X=12 ×6 :8

X=72 :8

X=9 months

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.

i would appreciate if you showed work so i know how you did it!

Answers

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

Now, graph the equation x - 2y = 7 below the
equation 8x - 4y = 56
What are the coordinates for x and y at the
intersection of the two lines?

Answers

Answer:

(7,0)

Step-by-step explanation:

Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2. Write in simplified form, giving reasons. Someone help please?

Answers

easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up

18+9x

hope this helps

Answer:

9x +18

Step-by-step explanation:

Angle 1 and Angle 2 form a linear pair. If m41 = (5x + 9)® and m22 = (3x + 11)", find the measure of
each angle.

Answers

Answer:

2/23/140+50ismmm/50

148/'320"120+4640=%40=40

Solve for y in 2y + 5 = - 3y - 10.*

Answers

Answer:

y = -3

Step-by-step explanation:

2y +3y = -10 -5 (collect the terms then calculate)

5y = -15 ( divide both sides )

then you'll get your answer which is y = -3

the answer is 3 because you have to cancel each other so 2y-2y which equals 0 and then you bring the 2y over to -3y and -3y-2y equals to 5y. then you have to cancel 5 out and you do 5-5 which equals 0 then -5-10 which equals 15. then you want to divide 15 and 5y which equals to 3. i hope this helps :)

Please include an explanation, i am confused. Thank you

Answers

Explanation:

Let's say,

(x1,y)  (x2,y2)

are two points in a

xy

plane. We can find the shortest distance between two point by applying the distance formula stated as:

Distance

=√(x2−x1) 2+(y2−y1) 2

So by putting our given points

(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)

in the distance formula, we have:

¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2

Simplify to get:

5√2

[50pts] What is the volume of this Cone? (Rounded to the nearest hundredth)

Answers

Answer:

Step-by-step explanation:

where is the photo?

Answer:

536.17

Step-by-step explanation:

1) Students in Jake's class were numbered in order from 1 to 24. Jake was asked to
choose classmates numbered with multiples of 5 to be in his group. Which
number could be the number of a classmate in his group?
>) 15
>) 16
() 21
>)7

Answers

Answer:

15

Step-by-step explanation:

15 is the only number with a multiple of 5.

The Number of classmates in his group is less than 21

What is an inequality?

An inequality is an inequation separated by <,>≥,≤.  the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here: Jake's class has 24 students and she is to choose a group which is a multiple of 5

Thus the possible multiples of 5 between 1 and 24 are

5,10,15,20

Therefore all these multiples are less than 21

Hence, The Number of classmates in his group is less than 21

Learn  more about inequalities here:

https://brainly.com/question/28823603

#SPJ2

A student has 2/3 quart of yellow paint in a container.The student uses 1/2 quart of the yellow paint to make green paint.How many quarts of yellow paint remains in the container after the student makes green paint?

Answers

Answer:

  1/6

Step-by-step explanation:

2/3 - 1/2 = 4/6 - 3/6 = 1/6

1/6 quart remains.

Answer:

There are 1/6 quarts left in the container.

Step-by-step explanation:

You need to subtract 1/2 (the paint used) by 2/3 (the paint in the container)

First, find the LCD (lowest common denominator) if you want to subtract.

3 x 2 = 6; you do the same to the numerator 2 x 2 = 4

4/6 (paint in the container)

2 x 3 = 6; you do the same to the numerator 1 x 3 = 3

3/6 (paint used)

Now, you subtract.

4/6 - 3/6 = 1/6 quarts

Need help answering question 4

Answers

Answer:

(-1,5)

Step-by-step explanation:

To find this, you have to add both "x" coordinates, then divide them by two.

Same thing goes for the "y" coordinates, add them, then divide them by two.

x-coordinates --->  2+(-4)= -2

y-coordinates ---> 1+9= 10

-2÷2= -1

10÷2= 5

That gives you, (-1,5).

Please help I have this due by tomorrow

Answers

Answer:

1) Linear Pair

2) Adjacent

3) Complmentary

4) Vertical

which property of equality is if 4m + n = 7 and n = 3 then, 4m + 3 = 7

Answers

Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

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