Skewlines have opposite reciprocal slopes ,and parallel lines have opposite reciprocal slopes
The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
The parameters needed to model the inequalities;
- amount made by Opal working for a photographer = $15 per hour
- amount made in the soccer team = $10 per hour
- minimum amount Opal needs to make a week = $90
- maximum number of hours Opal needs to work = 20 hours
Let the number of hours Opal works for a photographer = x
Let the number of hours Opal works in soccer team = y
The first system of inequality in the given situation is represented as;
x + y ≤ 20
The second system of inequality in the given situation is represented as;
15x + 10y ≥ 90
Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.
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59 + 13n =
59 + 13(44) =
59 + 572 =
631
The cost of 44 people is $631.
10 over 100 is the answer
10/100
Take a look at the attached picture of the unit circle.
If you have negative radians, you would go around the circle counterclockwise starting from 0. Remember that 1π is a semicircle. Go counterclockwise 1π to get to 180<span>° or (-1,0).
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Now you just need to go counterclockwise 3π/4 more, since 7π/4 is 3π/4 more than π. 3/4 of π would just be 3/4 of a semicircle. (Try to imagine that in your head. It looks like 3 slices of a pizza that was cut into 8 slices.) The second picture shows you moving 3π/4 from π on the unit circle, which would put you at 45° or π/4.
At π/4, the coordinates are

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Answer: