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Alekssandra [29.7K]
3 years ago
9

5(6-i)+(6-i)(3-i). show work.

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

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your final balance on an investment of 270$ invested at 10% was $459.00, For what period of time did you invest?
harkovskaia [24]

Answer:

n= 5.57 years

Step-by-step explanation:

Giving the following information:

your final balance on an investment of 270$ invested at 10% was $459.00

<u>To calculate the time passed between values, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)

FV= 459

PV= 270

i= 0.1

n= ln(459/270) / ln (1.1)

n= 5.57 years

4 0
3 years ago
If you were to solve the following system by substitution, what would be the best variable to solve fro and from what equation?
Svetlanka [38]
I would say solve for x in the second equation
4 0
4 years ago
What is the value of x if length is 3x-1 and width is x and the perimeter is 84
expeople1 [14]

Answer:

x = 10.75

Step-by-step explanation:

To find the value of x, we need to know the equation for the perimeter of a rectangle.  This equation is:

P = 2L + 2W

Where P is the perimeter, L is the length, and W is the width.

We are given P = 84, L = 3x -1 , and W = x.  Now we just plug these values in and solve for x.

P = 2L + 2W

84 = 2 ( 3x - 1 ) + 2 ( x )

84 = 6x - 2 + 2x

84 = 8x - 2

86 = 8x

86 / 8 = x

43 / 4 = x

(40 + 3) / 4 = x

10.75 = x

Hence, the value of x = 10.75.

Cheers.

7 0
4 years ago
Help wit 19 ASAP WILL MARK BRAINLIST
Alex_Xolod [135]

Answer:

m∠a = 60°

Step-by-step explanation:

Hi there,

Before answering this question, you should know that the sum of all the angles in a triangle will always be 180°. Therefore, we can write this equation to find the value of ∠a :

70° + 50° + m∠a = 180°

Solve for m∠a

120° + m∠a = 180°

m∠a = 60°

Hope this answer helps. Cheers.

7 0
4 years ago
You need 23 yards of fabric to make five dresses. How many yards of fabric would be needed to make 8 dresses?
olasank [31]

Answer:

36.8 or 37 yards of fabric

Step-by-step explanation:

23 yards of fabric = five dresses

23 divided by five equals four point six

four point six multiplied by eight dress equals 36.8

23 yds of fabric = 5 dresses

23÷5=4.6

If you need to know how many yards of fabric, then you'd do:

4.6×8

4.6 is the amount of each yards 5 dresses are in and so if you times that by how many dresses you need now, you'll get:

36.8 yards of fabric

To round, it'd be 37 yards of fabric

5 0
3 years ago
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