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vlabodo [156]
3 years ago
13

Solve the equation (6+2i)(3i)

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0
3i(6+2i) = 18i+6i^2 = 6i(3+i) if i is a variable

3i(6+2i) = 18i+6i^2=18i+6(-1) = -6+18i = 6(-1+3i) if i is the imaginary unit defined by i²=-1
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The perimeter of a stop sign has a perimeter of 16x2 - 80x. What is the length of one side?
uranmaximum [27]
Since a stop sign is an octagon it has eight sides.  So the perimeter will be:

p=8x,  p=perimeter and x=side length.  We are told that the perimeter is equal to:

16x^2-80x so we can say:

16x^2-80x=8x subtract 8x from both sides

16x^2-88x=0  factor out 8x

8x(2x-11), since we know x>0

x=11/2

x=5.5 units
7 0
3 years ago
You decide to purchase a new iPhone. The iPhone itself costs $350. The monthly fee for the services (data, messaging, etc.) is $
Bogdan [553]

The base price of the iphone is $350 and additiobal charge of a month is $67. So additional charge for p months is $67p.

Determine the equation for total cost of iphone after p momths.

P(x)=350+67p

8 0
2 years ago
HELP!!!!!!!!What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?
emmainna [20.7K]

Answer:

y= -3x -2

Step-by-step explanation:

(0 , -2) and a slope of -3

The -2 is the y-intercept, put the initial point there

Use that point and put the -3 slope


3 0
4 years ago
I need help with geometry.<br> Find x.
I am Lyosha [343]

Answer:

Part 9) x=5  

Part 10) x=-9  

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that: The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

Part 9) we know that

Point Q is the midpoint segment XY (QY=QX)

Point R is the midpoint segment XW (RW=RX)

Applying the Midpoint Theorem

RQ is parallel to WY

and

RQ=\frac{1}{2}WY  

we have

RQ=2x-3\\WY=x+9

substitute

2x-3=\frac{1}{2}(x+9)  

solve for x                  

4x-6=(x+9)          

4x-x=9+6

3x=15  

x=5  

Part 10) we know that

Point B is the midpoint segment TS (BS=BT)

Point C is the midpoint segment RS (CS=CR)

Applying the Midpoint Theorem

BC is parallel to TR

and

BC=\frac{1}{2}TR  

we have

BC=x+19\\TR=x+29

substitute

x+19=\frac{1}{2}(x+29)  

solve for x

2x+38=(x+29)  

2x-x=29-38          

x=-9  

5 0
3 years ago
What should you pay to play a game in which you receive $5 for drawing an ace from a deck of card, $1 for a face card, and .50 f
vlada-n [284]

Answer:

I would think it would be 4,20

8 0
2 years ago
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