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Dafna1 [17]
3 years ago
13

What's (6+5i)(6-5i) using the foil method

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

Step-by-step explanation:

Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

4 0
3 years ago
X⁴+x²+1+x⁴64445555555555555555<br><br>​
bazaltina [42]

Answer:

2x⁴ + x² + 64445555555555555556

3 0
3 years ago
A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls
Nostrana [21]

Answer:

12 balls

Step-by-step explanation:

take 3 red balls ,5 green balls and 4 yellow balls that 12 balls = 6 balls in bag

5 0
3 years ago
How to graph y=55x+100
WINSTONCH [101]
100 is the y intercept so its graohed at (0,100)(y-axis) and it goes up every 1/55
6 0
3 years ago
What is the better buy?
White raven [17]

Answer: Option B is the cheaper deal (the 12 batteries for $14.76)

===========================================================

Explanation:

For the first deal we can say

3 batteries = 4.80 dollars

3/3 batteries = 4.80/3 dollars .... divide both sides by 3

1 battery = 1.60 dollars

The unit price for the first deal is $1.60 per battery.

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

For the second deal we could say

12 batteries = 14.76 dollars

12/12 batteries = 14.76/12 dollars .... divide both sides by 12

1 battery = 1.23 dollars

The unit price for the first deal is $1.23 per battery.

This is the cheaper deal.

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

So in short, you're dividing the total cost over the number of items to get the unit price.

4 0
3 years ago
Read 2 more answers
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