Sarah is planning to spend a week at her friend's summer house in Miami Beach. All meals will be provided by her friend's parent

s, but
Sarah still needs at least $500 to pay for her airfare and personal expenses for the week. She is selling bracelets and earrings to fund her
trip. A graph representing this situation is shown below.
Sarah's Potential Bracelets and Earring Sales
500
1x > 50
Region 2
Number of Earrings
Region 1
0
Region 3 2x + 3y 500
100 200 300 400
Number of Bracelets
500
This region represents the combinations of bracelets and earrings that Sarah must sell in order to get a minimum of $500 profit to pay for
her trip.
Select a Value
This region represents the area where Sarah sells a lot of bracelets but not enough earrings to reach her $500 goal.
Select a Value

Mathematics

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Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.

tester [12383]

Define the unit vectors along the x and y axes as $\hat{i}, \, \hat{j}$ correspondingly.

Consequently, the vector from P to Q is
$\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}$
In terms of components, vector PQ is represented as (-8,5).

The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434

Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).

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