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EastWind [94]
3 years ago
13

Help. divide and simplify(104i)/(3+i) express a in a + bi form

Mathematics
1 answer:
Flauer [41]3 years ago
3 0
Here we're dividing, but what actually happens is that we get the " i " out of the denominator:


104i        104i       3-i        312i + 104      312i + 104
------- = --------- * -------- = --------------- = ----------------
 3+i        3+i          3-i            9+1                  10

Note that 3-i is the "conjugate" of 3+i.
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Is 5/6 greater than 5/8
Liono4ka [1.6K]
Yes because fraction wise the denominator that is the smallest is greater. At least that is what I learned
4 0
3 years ago
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9. The water level is 3 feet below your dock. The tide goes out, and the water level lowers 1 foot. A storm surge comes in, and
guapka [62]
We know that that the water level is 3 feet below your deck. (-3)
When the tide goes out, the water level lowers 1 foot. (-1)
A storm surge comes in, the water level rises 2 feet. (+2)

New water level: -3-1+2= -4+2= -2
The new water level is 2 feet below the dock.

Mark as brainliest pls. Any concern or comment, talk to me.
3 0
3 years ago
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The product of w and 3​
DaniilM [7]

Answer:

w x 3 or w(3) or even w3

Step-by-step explanation:

I just know, trust me!

6 0
2 years ago
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Guys!! anyone can help me solve this geometry problem?<br>What is the area of this triangle?
NeX [460]

Answer:

10657.5

Step-by-step explanation:

<h2>Long way that is unnecessarily long</h2>

We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and  251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 -  105*(√51976-203))/2 = 105*203/2 = 10657.5

<h2>Short way</h2>

ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5

3 0
3 years ago
Could someone answer this pls thank u
loris [4]

Given:

The area model.

The area of the shape is 82 square units.

To find:

The correct equation for the given situation.

Solution:

We know that, area of a rectangle is

Area=Length \times Width

The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is

A_1=(x)\times (3x)=3x^2

A_2=(x)\times (4)=4x

A_3=(3)\times (3x)=9x

Now, the total area is equation to 82 square units.

A_1+A_2+A_3=82

3x^2+4x+9x=82

3x^2+13x=82

Since the required equation is 3x^2+13x=82, therefore, the correct option is C.

7 0
3 years ago
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