During a sale, a dress is marked down from a selling price of $90 to a sale price $72 what is the percent markup
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It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.
x - intercept: y = 0
Therefore we have the equation:
-1.5x + 3 = 0 |-3
-1.5x = -3 |:(-1.5)
x = 2
Answer: x-intercept = 2, y-intercept = 3
The first ship travels (25 mi/h)*(2 h) = 50 mi.
The second ship travels (20 mi/n)*(2 h) = 40 mi.
The angle between their directions of travel is 120° -50° = 70°.
The law of cosines can be used to find the distance (d) between the ships.
d² = 50² + 40² - 2*50*40*cos(70°)
d² = 2500 +1600 -4000*cos(70°)
d² ≈ 2731.919
d ≈ √2731.919 ≈ 52.3 . . . . miles
At noon, the ships are about 52.3 miles apart.
The second ship travels (20 mi/n)*(2 h) = 40 mi.
The angle between their directions of travel is 120° -50° = 70°.
The law of cosines can be used to find the distance (d) between the ships.
d² = 50² + 40² - 2*50*40*cos(70°)
d² = 2500 +1600 -4000*cos(70°)
d² ≈ 2731.919
d ≈ √2731.919 ≈ 52.3 . . . . miles
At noon, the ships are about 52.3 miles apart.