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Oksana_A [137]
3 years ago
5

What is the distance between -2-3i and 3+9i

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

d = 13

Step-by-step explanation:

The distance formula in a complex plane is \sqrt{(s-a)^{2} + (t-b) }. Let us say that points (a,b) are (-2,-3) and points (s,t) are (3,9), both coordinates derived from given. Substitute the numbers into the equation to get the distance.

d = \sqrt{(3-(-2))^{2} + (9-(-\\3))^{2} }

d = 13

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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.
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Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

8 0
3 years ago
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Step-by-step explanation:


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3 years ago
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A shoe store employee needs to decide how many shoes to put on display. The store manager wants the number of sneakers on displa
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3 years ago
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h(x) = f(x) − c a horizontal shift of f, c units to the right a vertical shift of f, c units down a horizontal shift of f, c uni
iren [92.7K]

Answer:

a vertical shift of f, c units down

Step-by-step explanation:

Given:

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Find:

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Solution:

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- This effect can be modeled on a graph by a "vertical shift" i.e there is an increase/decrease in every "y" value by amount "c" units.

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3 years ago
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Answer:

$66.70 for 10 sets

Step-by-step explanation:

Multiply the cost of 1 set by the number of sets wanted

$6.67 * 10

66.70 for 10 sets

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3 years ago
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