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valkas [14]
3 years ago
5

Add(4-4i)+(3-2i)Write as complex number in standard form​

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

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What are the coordinates of the point (-3,4) after a translation of 2 units down and 5 units left
marta [7]

Answer:

(-8, 2)

Step-by-step explanation:

Start with (-3, 4).  Subtract 5 units from -3, obtaining -8, and subtract 2 units from 4, obtaining 2:  (-8, 2)

5 0
3 years ago
Linda's penny bank is 2/3 full. After she removes 80 pennies, it is 1/2 full. How many pennies can Linda's bank hold?
Ksju [112]
Let x = the total number of pennies her piggy bank can hold.
Then 2/3x = the number of pennies she started with
Then 2/3x - 80 = the number of pennies she has left after taking out 80 pennies.
Then 1/2x = the number of pennies she has left after taking out 80 pennies.
Build the equation.

2/3x - 80 = 1/2x

Subtract 1/2x from each side of the equation.

(2/3x - 80) - 1/2x = 1/2x - 1/2x

1/6x - 80 = 0

Add 80 to both sides of the equation.

(1/6x - 80) + 80 = 0 + 80

1/6x = 80

Divide both sides by 1/6.

(1/6x) / 1/6 = 80 / 1/6

x = 480

So, Linda's piggy bank can hold 480 pennies!

8 0
3 years ago
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown
Brums [2.3K]

Answer:

The first student is correct

Step-by-step explanation:

With the given information there is already 4 inches on the rectangle. 13 x2 = 26. 26+4=30. For student two if the unknown number was 10 it would not work because the longest side is 3 less then the unknown number. 10-3=7. 7x2=14. 14+4= 28<30

8 0
3 years ago
Graph the function -2x+5y=10
loris [4]
An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

let x=0, 

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

6 0
3 years ago
HELP WILL GIVE BRANLIEST! WILL RATE! AND SAY THANKS!!!
Drupady [299]

Answer:

9.57 inch

Step-by-step explanation:

(4/3)×pi×8³ = 14×16×h

h = (4/3)×pi×8³ ÷ (14×16)

h = 64pi/21 inch

Or, 9.57 inch (3 sf)

5 0
3 years ago
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