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slamgirl [31]
3 years ago
14

Calculate the distance between the points Q = (2, -1) and K = (6,-9) in the coordinate plane.

Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:

Sqrt 80 = 8.94

Step-by-step explanation:

d = sqrt[(x-x)^2 + (y-y)^2]

d = sqrt [(6-2)^2 + (-9 - - 1)^2]

d = sqrt [(4)^2 + (-8)^2]

d = sqrt (16 + 64)

d = sqrt 80

d = 4 sqrt 5 = 8.94

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Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
Prove: The difference of the reciprocals
murzikaleks [220]

Step-by-step explanation:

let two successive integers n, n+1

difference of the reciprocals:

\frac{1}{n}-\frac{1}{n+1} \\=\frac{(n+1)-n}{(n)(n+1)}\\=\frac{1}{(n)(n+1)}\\=\frac{1}{(n)}\frac{1}{(n+1)}\\

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vampirchik [111]

Answer:

p>3

Step-by-step explanation:

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<=> -2p + 3p > -6 + 9

<=> p > 3

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3 years ago
A russian igor carl faberge firebird egg costs 327,317.28 russian rubles. how much is that in united states dollars?
yawa3891 [41]
1 Russian ruble is equivalent to <span>0.01742 U.S. dollars.

Therefore, to find how much US dollars is equivalent to </span><span>327,317.28 Russian rubles, all you have to do is cross multiplication as follows:
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