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matrenka [14]
3 years ago
5

Simplify (11 + 5i)(11 - 51)

Mathematics
2 answers:
Ede4ka [16]3 years ago
7 0

Answer:

 (146 +  0i)

Step-by-step explanation:

(11+5i)(11-5i)

The formula is :

(a+bi) • (x+yi)  = ax+by•i^2+(ay+bx)i

and since  i^2 = -1  it can be written as :

ax - by + (ay + bx) i

( 11 +  5i) • ( 11 -  5i) =

 (146 +  0i)

hope this helped brainlest owo???

mixas84 [53]3 years ago
3 0

Answer:

146

Step-by-step explanation:

(11 + 5i)(11 - 5i) =

Use the product of a sum and a difference, (a + b)(a - b) = a^2 - b^2.

= 11^2 - (5i)^2

= 121 - (25)(i^2)

= 121 - (25)(-1)

= 121 - (-25)

= 121 + 25

= 146

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What is the distance between the points (23 , 11) and (4 , 11) in the coordinate plane?
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Answer:just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place

Step-by-step explanation:

4 0
3 years ago
A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =
podryga [215]

Answer:

Area of the counter top is 5.02\ m^2.

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

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Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = 18\times 0.305 = 5.49\ m

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = 3\times 0.305 = 0.915\ m

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = 5.49\times 0.915 = 5.0233\ m^2

Rounding up to 2 decimals we get;

Area of the counter top =  5.02\ m^2

Hence Area of the counter top is 5.02\ m^2.

3 0
3 years ago
Explain, with a test, why the two triangles in each figure are similar. Find the
frutty [35]

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}

\frac{AB}{AD}=\frac{AC}{AE}

\frac{AD+BD}{AD}=\frac{AE+EC}{AE}

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3x - 2x = 3

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7 0
3 years ago
A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop
Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

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Now we just plug in the values of the starting point and final destination in order to find the slope of the line.

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Finally we can see that the slope of the line is 5

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0
3 years ago
In the diagram, CD = 15 and CF = 39. If line DF is tangent to point C, then DF = ?
Neko [114]
I hope this helps you


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DF^2=39^2-15^2


DF^2=24.54


DF=36
5 0
4 years ago
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