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stiks02 [169]
3 years ago
12

Simplify the expression 2+3i/4+3i Please help

Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

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For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 2
ipn [44]

Answer:

120 miles.

Step-by-step explanation:

Use long division to find how many miles the car travels in 1 hour then we multiply by 4

: (7÷210=30)×4=120miles. Hope this helped ;D

6 0
3 years ago
Our of the four runners: Alex, Ben, Curtis, and Dan, the oldest came in second place. Alex ran the distance faster than Curtis,
Alexus [3.1K]

Considering the situation described, the classification of the runners is given as follows:

Dan - Ben - Alex - Curtis.

<h3>What is the classification of the runners?</h3>

The oldest came in second place. Ben is older than Alex, and Curtis is older than Dan, hence either Ben or Curtis finished second.

Alex ran the distance faster than Curtis, and Dan ran faster than Ben and Curtis, hence considering the above observation Ben finished second and the classification is:

Dan - Ben - Alex - Curtis.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

5 0
2 years ago
Find the values of x and y so that ABCD will be a parallelogram.
arsen [322]

Given:

Figure of a parallelogram.

To find:

The values of x and y.

Solution:

If two parallel lines intersected by a transversal line, then the alternate interior angles are congruent.

4x=24            (Alternate interior angles)

x=\dfrac{24}{4}

x=6

And,

y-10=32            (Alternate interior angles)

y=32+10

y=42

The value of x is 6 and the value of y is 42.

Therefore, the correct option is C.

3 0
3 years ago
Can someone help me
butalik [34]

Answer:

The answer is 1/3

Step-by-step explanation:

Yoh would get this because an dice has six sides. If two numbers are being offered, that's 2/6 , or 1/3 simplified.

4 0
3 years ago
Read 2 more answers
Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points
Alenkasestr [34]
Y=2x+3
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5 0
3 years ago
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