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yulyashka [42]
3 years ago
6

Find the distance between these points. R(-1,0) s(8,6)

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
A(x_1;\ y_1);\ B(x_2;\ y_2)\\The\ distance\ between\ A\ and\ B:\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\-----------------------\\R(-1;\ 0)\to x_1=-1\ and\ y_1=0\\S(8;\ 6)\to x_2=8\ and\ y_2=6\\\\|RS|=\sqrt{(8-(-1))^2+(6-0)^2}=\sqrt{9^2+6^2}=\sqrt{81+36}=\boxed{\sqrt{107}}
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Answer:

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Valentin [98]

Answer:

Part 1. 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

Variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking job.

Part 2. The income from shift of work at the diner that is 50x, and the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x.

Step-by-step explanation:

Each week, Aubrey earns $50 for every shift he works at the diner and $17 for every dog-walking job.  

He uses the expression (50x + 17y) to keep track of his earning.

Part 1. Here the coefficient of the expressions 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

And the variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking jobs.

Part 2. Therefore, there are two terms in the expression, one is the income from the shift of work at the diner that is 50x and the other is the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x. (Answer)

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S_A_V [24]

Answers:

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  • i = 10
  • Yes it's reasonable
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Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

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If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

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i = -132/12

i = -11

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The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

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