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4 years ago

Please simplify 9/3-2i.

Mathematics

2 answers:

umka2103 [35]4 years ago

7 0

3-2i is as far as you can simplify

Mamont248 [21]4 years ago

3 0

I = sqrt -1

Multiply by 3+2i/3+2i

combine: 9(3+2i)/(3−2i)(3+2i)

foil: 9(3+2i)/3⋅3+3(2i)−2i⋅3−2i(2i)

simplify: 9(3+2i)/9−4i^2
 9(3+2i)/9+4
9(3+2i)/13
 27+18i/13
Divide each term in the numerator by the denominator.

27/13+18i/13 = answer

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HELP ASAP PLEASE!

tatyana61 [14]

M= (y2-y1)/(x2-x1)

Plug in the points. (2,3) (9,7)

m= (7-3)/(9-2)

m= 4/7

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7 0

3 years ago

Can someone help me please ???????

Inessa [10]

Answer:

d=1

Step-by-step explanation:

Factor d^2 - 2d - 8 into (d-4)(d+2)

Move -2/d+2 onto the other side, changing it into 2/d+2.

$\frac{-3d}{(d-4)(d+2)} +\frac{3}{d-4}+\frac{2}{d+2} = 0$

Let the empty side equal zero.

Add 3/d-4 and 2/d+2

$\frac{5d-2}{(d+2)(d-4)}$

Then add that to -3d.

$\frac{2d-2}{(d+2)(d+4)}$

Multiply 0 by d+2 and d-4 to get 2d-2 by itself.

2d=2

d=1

I can't edit the equation, but it's d-4 althroughout the question. Sorry for being so slow.

6 0

3 years ago

A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?

Nookie1986 [14]

Answer:

The angle of elevation of the sun is 32°

Step-by-step explanation:

Right Triangles

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

$\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

$\displaystyle \tan x=\frac{20}{32}=0.625$

Calculate x by using the inverse tangent:

$x=\arctan 0.625$

$x=32^\circ$

The angle of elevation of the sun is 32°

7 0

3 years ago

Which fraction has a value greater than 0.4

hodyreva [135]

U can see that 5/9 has a greater value thx hope it helped

6 0

3 years ago

Read 2 more answers

Describe the sample space for each of these experiments (a) A coin is tossed and a single die is rolled. (b) A paper cup is toss

kondor19780726 [428]

Answer:

a) S={(head,1),(head,2),(head,3),(head,4),(head,5),(head,6),(tails,1),(tails,2),(tails,3),(tails,4),(tails,5),(tails,6)}

b) S={top,bottom,side}

c) S={(Ace of diamonds),(Two of diamonds),(Three of diamonds),(Four of diamonds),(Five of diamonds),(Six of diamonds),(Seven of diamonds), (Eight of diamonds),(Nine of diamonds),(Ten of diamonds), (Jack of diamonds), (Queen of diamonds), (King of diamonds), (Ace of hearts),(Two of hearts),(Three of hearts),(Four of hearts),(Five of hearts),(Six of hearts),(Seven of hearts), (Eight of hearts), (Nine of hearts),(Ten of hearts), (Jack of hearts), (Queen of hearts),(King of hearts),(Ace of clubs),(Two of clubs),(Three of clubs),(Four of clubs),(Five of clubs),(Six of clubs),(Seven of clubs), (Eight of clubs), (Nine of clubs),(Ten of clubs), (Jack of clubs),(Queen of clubs),(King of clubs),(Ace of spades),(Two of spades),(Three of spades),(Four of spades),(Five of spades),(Six of spades),(Seven of spades),(Eight of spades), (Nine of spades),(Ten of spades),(Jack of spades),(Queen of spades),(King of spades)}

Step-by-step explanation:

The sample space is all the possible outcomes from each experiment:

a) The sample has the pairs of the result of the coin (head or tails) and the dice (a number from 1 to 6):

S={(head,1),(head,2),(head,3),(head,4),(head,5),(head,6),(tails,1),(tails,2),(tails,3),(tails,4),(tails,5),(tails,6)}

b) A paper cup can land in three different ways, on its top, bottom or side:

S={top,bottom,side}

c) The sample space is all the cards in the deck:

S={(Ace of diamonds),(Two of diamonds),(Three of diamonds),(Four of diamonds),(Five of diamonds),(Six of diamonds),(Seven of diamonds), (Eight of diamonds),(Nine of diamonds),(Ten of diamonds), (Jack of diamonds), (Queen of diamonds), (King of diamonds), (Ace of hearts),(Two of hearts),(Three of hearts),(Four of hearts),(Five of hearts),(Six of hearts),(Seven of hearts), (Eight of hearts), (Nine of hearts),(Ten of hearts), (Jack of hearts), (Queen of hearts),(King of hearts),(Ace of clubs),(Two of clubs),(Three of clubs),(Four of clubs),(Five of clubs),(Six of clubs),(Seven of clubs), (Eight of clubs), (Nine of clubs),(Ten of clubs), (Jack of clubs),(Queen of clubs),(King of clubs),(Ace of spades),(Two of spades),(Three of spades),(Four of spades),(Five of spades),(Six of spades),(Seven of spades),(Eight of spades), (Nine of spades),(Ten of spades),(Jack of spades),(Queen of spades),(King of spades)}

3 0

3 years ago