Slope = (1 + 4)/(5 - 3) = 5/2
y = mx + b
1 = 5/2(5) + b
1 = 25/2 + b
b = 1 - 25/2
b = -23/2
equation
y = 5/2x - 23/2
standard form
5/2x - y = 23/2
or
5x - 2y = 23
hope it helps
Answer:
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THE ANSWER IS FIRST OPTION
The answer is D :) hope u get an 100%!
For 90° clockwise rotation, (x, y) becomes (y, -x).
Your rotated point is (2, 3).
Answer: the widget would be sold for $84.3
Step-by-step explanation:
The amount of profit, y made by the company, is related to the selling price of each widget, x, by the given equation which is expressed as
y = - x² + 77x - 615
At the point of breaking even, profit = 0. This means that
- x² + 77x - 615 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = - 1
b = 77
c = - 615
Therefore,
x = [- 77 ± √(77² - 4 × - 1 × - 615)]/2 × + 1
x = [- 77 ± √(8389)]/- 2
x = (- 77 + 91.59)/2 or x = (- 77 - 91.59)/- 2
x = - 7.295 or x = 84.3
Since the price cannot be negative, then x = $84.3
