Solve the following system of equations: 5x + y = 9 3x + 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
2 answers:
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Answer:
Yes, y is a function of x.
Step-by-step explanation:
For a proportional relation, the equation is given by:
where k is the unit rate of change.
We were told that, Lin's sister earns $9.6 per hour.
This means k=9.6.
We substitute to get:
We could rewrite this as
Yes, y is a function of x.
To obtain an equation describing x as a function of y, we solve for x to get:
Answer:
Net Area = 168
Step-by-step explanation:
See attachment for complete question
I'll make reference to the attachment, when needed.
The shapes that make up the net are labelled 1 to 5.
So, to calculate the surface area of the net, we simply calculate the surface area of each label.
Label 1: Rectangle
Area = Length * Width
Area = 10 * 5
Area = 50
Label 2: Rectangle
Area = Length * Width
Area = 8 * 5
Area = 40
Label 3: Rectangle
Area = Length * Width
Area = 6 * 5
Area = 30
Label 4: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
Label 5: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
So, the net area is the summation of the calculated areas of label 1 to 5
Net Area = 50 + 40 + 30 + 24 + 24
Net Area = 168
