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yuradex [85]
3 years ago
9

Find the modulus of the following |9+40i|

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

modulus of  |9+40i|  is 41

Step-by-step explanation:

Let z = 9+40i

then

|z| = \sqrt{9^{2}+40^{2}  }

   = \sqrt{81+1600}

   = \sqrt{1681}

   = 41

|z| = 41

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This is really simple i just need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Svetach [21]
It will stay the same.

\frac{2(4)}{4}  = 2
\frac{2(3)}{3}  = 2
\frac{2(2)}{2}  = 2
\frac{2(1)}{1}  = 2
No matter what you multiply 2 by, dividing it by the same number cancels it out, always leaving you with 2.
4 0
3 years ago
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 p
Minchanka [31]

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

<h3>What is cost price per pound?</h3>

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

C=\dfrac{4.50}{5}\\C=0.5625

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

brainly.com/question/20333618

4 0
2 years ago
Solve the Fahrenheit equation for Celsius
horrorfan [7]
The first step you should do is subtract 32 from both sides so your answer will turn out like this -

F = (9/5) C + 32
- 
F - 32 = (9/5)

Then we will multiply both sides by 5. 

5 ( F - 32 ) = 9 C

Divide both sides by 9 to isolate C.

(5/9)  ( F - 32 ) = C

So the answer is :

C = (5/9) ( F - 32 )

Hope this helps :)

7 0
3 years ago
Read 2 more answers
In meters what is the value of x? Pls i really dont know how to do this
Hitman42 [59]

Answer:

x = 75 m

Step-by-step explanation:

This is a problem of similar triangles solved using proportions.

In similar triangles, corresponding side lengths are proportional.

Here the small and large triangles are similar because the have all three angles congruent.

By proportions, identifying corresponding sides,

x/45 = 50/30

solve for x

x = 45*(50/30) = 75 m

6 0
3 years ago
Help ASAP I don’t get it
GarryVolchara [31]

9514 1404 393

Answer:

  • positive
  • negative

Step-by-step explanation:

The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.

That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.

If k is subtracted, instead of added, then the point will be moved downward.

The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.

_____

<em>Comment on the question</em>

The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.

If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.

3 0
3 years ago
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