Multiply the complex numbers (5 − 3i) and (9 + 2i).

Step-by-step explanation:

Either x = 0 or y = 0. (Zero product rule)

Answer:

(7, 11)

Step-by-step explanation:

If a line segment has endpoints at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]), the coordinates of the midpoint O(x, y) of the segment AB is given by the formula:

[tex]x=\frac{x_1+x_2}{2}\\\\y=\frac{y_1+y_2}{2}[/tex]

Given the midpoint M(3, 5) of the segment CD with the coordinates of C at (-1, -1). Let the coordinates of D be at ([tex]x_2,y_2[/tex]). Hence:

[tex]x=\frac{x_1+x_2}{2}\\\\ 3=\frac{-1+x_2}{2} \\\\6=-1+x_2\\\\x_2=6+1\\\\x_2=7\\\\y=\frac{y_1+y_2}{2}\\\\ 5=\frac{-1+y_2}{2} \\\\10=-1+y_2\\\\y_2=10+1\\\\y_2=11[/tex]

Hence the coordinates of D is at (7, 11)

Answer:

The degree of the given expression is 2

Step-by-step explanation:

the degree of equation is 2

hope it is helpful to you

Answer:

[tex]=\left(\frac{21}{2},\:-4\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(18,\:-17\right),\:\left(x_2,\:y_2\right)=\left(3,\:9\right)\\\\=\left(\frac{3+18}{2},\:\frac{9-17}{2}\right)\\\\Refine\\=\left(\frac{21}{2},\:-4\right)[/tex]

Answer:

To make a profit the company must sell 11601 units.

Step-by-step explanation:

Giving the following information:

Fixed costs=$580,000

Unitary variable costs= $50

Unitary selling price= $100

First, we need to calculate the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 580,000 / (100 - 50)

Break-even point in units= 11,600 units

To make a profit the company must sell 11601 units.

In order to determine the total profit, you need to use the following formula:

Total profit= 50*x - 580,000

x= units sold

For example:

x= 15,000

Total profit= 50*15,000 - 580,000

Total profit= $170,000

Answer:95

Step-by-step explanation:

1 656 m³

V = B×h/3

= 92m²×54m/3

= 92m²×18m

Answer:

v = 1656 cubic meters

Step-by-step explanation:

what we have =  base area = 92 square meters

                       = height = 54 meters

the volume formula of a rectangular pyramid = V=lwh  /3

since base area = lw

lw = 92 meters

now we can write - 92* 54 /3

                             = 4968 /3

                             = 1656

So the corect answer is 1656 cubic meters and the student is wrong.

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

      3

divide both side by 18

d - 9 = 198  

3          18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

Answer:

Step 1: Write down the percent divided by 100 like this:  [tex]\frac{percent}{100}[/tex]

Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)

Step 3: Simplify (or reduce) the fraction

Step-by-step explanation:

Example:

Step 1: Write down:

[tex]\frac{11}{100}[/tex]

Step 2: The percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

Answer:

To convert the percent into a fraction, divide it by 100 and remove the % symbol. Then, multiply the fraction to its lowest term.

For example:

[tex] \sf{12 \: \% \: = \frac{12}{100} = \frac{3}{25} } \: [/tex]

[tex] \sf{65\% \: = \frac{65}{100} = \frac{13}{20} }[/tex]

[tex] \underline{ \sf{some \: facts \: about \: percentage}}[/tex]

[tex] \star[/tex] Percentage are fractions whose denominators are 100

[tex] \star[/tex] A fraction can be expressed as a percentage by converting it into an equivalent fraction with 100 as a denominator.

[tex] \star [/tex] We can convert a fraction to a percent by multiplying it by 100 and the % symbol.

[tex] \star[/tex] A fraction with denominator 100 can be written as a percentage by writing the numerator with the % symbol.

[tex] \star[/tex] To convert a percentage to a decimal , divide it with 100 i.e move the decimal the places to the left.

[tex] \star[/tex] To convert a percentage to a fraction , divide it by 100 and reduce it to the lowest term.

Hope I helped!

Best regards! :D

Answer:

$12.55

Step-by-step explanation:

20-7.45=12.55

Answer:

3)

Step-by-step explanation:

X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines

Answer:

thursday

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

every x only has one y

Answer:

The answer is 10.5 in decimal form

Answer:

no solution

Step-by-step explanation:

2(x + 2) = 2x -8

2x+4 = 2x-8

2x - 2x =-8 - 4

0 = -12

if the numbers r not the same on both right and left side it have no solution.

hope u like it ‍❤️‍‍❤️‍❤️‍

for any question comment me

Answer: 10

Step-by-step explanation:

Cost of any plan = Joining fee + (Per month fee ) × (number of months )

Let x be the number of months for which the cost of each plan is equal.

Cost of plan A =  130 + 12 x

Cost of plan B = 0+ 25x = 25x

According to the question,

[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]

Hence, the number of months for which the cost of each plan is equal is 10.

Answer:

Step-by-step explanation:

[tex] \sqrt{4} = 2 \\ 2 \times 2 = 4[/tex]

Answer:

13,14,15

Step-by-step explanation:

let the first number be n

The next 2 consecutive numbers will be

n+1 and n+2

Sum of these numbers is 42

n+ n+1+n+2=42

Combine like terms

3n+3=42

3n=42-3=39

n=39/3=13

So the numbers are

n=13

n+1=13+1=14

n+2=13+2=15

Answer:

The first column is transformation

The second one I have forgotten

Need other help

Answer:

Given : NP is a line segment

and O is the mid point

therefore, we can write

NP = NO + OP

now put the values

under NP write 2x , NO = x+7 , OP = 10

Therefore the equation that comes to us after putting values is

2x = x+7 + 10

now solving

2x - x = 7+10

x = 17

therefore

numerical length of NO = x+7

i.e. , 17 + 7 = 24

HOPE U FIND THIS ANSWER USEFUL TO U

THANK U

Answer:greater

Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?

Answer:

5

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

The first step is to find out how to find the next number in the term.

In this we can see that to get to the next number in the term we need to add 5.

The easiest way to figure out the 21st term of this, would be to multiply 5×21. This is equal to 105.

But since we started at three less than 5, we need to subtract 3 from 105. 105-3=102.

The 21st term is 102.

Answer:

390:234

Step-by-step explanation:

10+6=16

624/16=39

39*10=390

39*6=234

390:234

Answer:

20y-14y+4=16

20y+(-14y) -4   -4

6y=12

y=2

Step-by-step explanation:

Combine like terms

subtrate 4 from each side

Divide 6 by 6 and 12 by 6

There for y=2