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Andrew [12]
2 years ago
12

What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1

Mathematics
2 answers:
Elodia [21]2 years ago
5 0

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i       Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

Ket [755]2 years ago
4 0

Answer:

5 - 3i

Step-by-step explanation:

Real numbers are a subset of the complex numbers. Therefore it would only make sense that the complex numbers follow the same rule of additivity and multiplication as real numbers do:

(2+4i)+(3-7i)=2+3+4i-7i=5-3i

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A footbridge is in the shape of an arc of a circle. the bridge is 10 ft tall and 27 ft long, horizontally. what is the radius of
lilavasa [31]
See the picture attached to better understand the problem

we know that
<span>the bridge is 10 ft tall and 27 ft long, horizontally
so
BC=10 ft
DE=27 ft---------> DC=27/2----> 13.5 ft
DA=r (radius of the circle)
AC=r-10

Applying the Pythagoras Theorem
DA</span>²=DC²+AC²<span> ------> r</span>²=13.5²+(r-10)²----> r²=182.25+r²-20r+100
20r=282.25--------> r=14.11 ft

the answer is
r=14.11 ft

4 0
4 years ago
Why might algebra tiles not be a good tool to use to factor x² + 18x +80
anyanavicka [17]

Answer:

Algebra tiles would not be a good tool to use to factor because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles and  it would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. and do u have time to drag 80 tiles? lol

Step-by-step explanation:

6 0
4 years ago
Is it possible that for every right triangle, it has two complementary angles?
Montano1993 [528]
Yes, every right triangle has two complementary angles.

This is because you know that the interior angles of a triangle have to add up to 180 degrees.

A right angle is 90 degrees, so the remaining two angles have to add up to (180-90) degrees, or 90 degrees.

Two angles whose sum is 90 degrees are complementary.
3 0
3 years ago
Help please I’ll mark brainliest!!!! Which of the following graphs is a function of x?
Scrat [10]
I think it’s either D or A,
So sorry if I’m wrong
7 0
3 years ago
Pls help me with this question and explain how you got the answer!!!!!
Luba_88 [7]

Answer:

-87

Step-by-step explanation:

So, first to find <em>x</em> you need to subtract 121 from 180. You do this because both the angle which measures 121 degrees and <em>x</em> lie on the same line, and since a line has an angle measure of 180, you do 180-121 to find <em>x</em>. The same thing can be done for <em>y</em>. Since the angle measure of 34 degrees and y lie on the same line you can calculate 180-34 to get <em>y. </em>So, let's do that.

180-121=x

59=x

180-34=y

146=y

Once you've done that you can easily subtract the two and get your answer.

x-y

substitute the answer for the variables and get

59-146

and then your answer is

-87

4 0
3 years ago
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