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malfutka [58]
3 years ago
9

Multiply (5 + 3i)(5 − 3i) 16 + 15i 16 − 15i 16 34

Mathematics
2 answers:
Ghella [55]3 years ago
4 0

Answer:

34

Step-by-step explanation:

Annette [7]3 years ago
3 0

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

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Because the two angles add up to equal 90, you would make an equation set to equal 90. On the other end you add the measures of your angles together because they are adding up to equal 90. This would look like 2x+5+35=90 and you solve from here. Add like terms making it 2x+40=90 then you subtract 40 from both sides making it 2x=50 and then divide by 2 on both sides which leaves you with x=25.
3 0
3 years ago
28 = 7x + 3 - 2x<br><br> Need all the work shown too solve for X
Salsk061 [2.6K]

Answer:

X = 5

Step-by-step explanation:

28 = 7x + 3 - 2x

28 = 5x + 3

28 - 3 = 5x + 3 - 3

25 = 5x

25/5 = 5x/5

X = 5

5 0
3 years ago
Read 2 more answers
What fractions is not equivalent too 4/7
madreJ [45]
What are the options? 

3 0
3 years ago
Alex needs 2 meters of sprinkler pipe. He has a pipe that is 89 centimeters long. How much more sprinkler pipe does Alex need?
den301095 [7]

I believe that Alex will need about 3 left because 100 cm= 1 meter. He already has 89 cm of pipe and that means he need 11cm to make it a meter. He needs 111cm left in order to have 2 meters which I beleive is 3 pipes I guess.

I hope this helps. :)

3 0
3 years ago
Find the midsegment of triangle ABC so that it is parallel to side BC and label it as segment EG on the graph.
Lelechka [254]

Answer:

Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)

Parallel: slopes both = -1/3

1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.

I will show the work for both the problems down below.

Step-by-step explanation:

Finding coordinates:

1+(-5)/2=-2  5+1/2=3

(-2,3)

1+4/2= 2.5   5+(-2)/2= 1.5

(2.5,1.5)

Show work verifying the EG and BC are parallel:

You can do this by finding the slope

Slop formula (y2-y1)/(x2-x1)

(1.5-3)/(2.5-(-2))

Then simplify

-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.

Show work verifying that EG and BC are parallel:

Use distance formula to find how long each line is

√(x2-x1)^2+(y2-y1)^2

√(2.5-(-2)^2)+(1.5-3)^2

Simplify

√4.5+(1.5)=3

Do the same thing with BC and you will get 6






7 0
3 years ago
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