A triangle is formed with edges along the line y = 2/3*x + 5, the x-axis, and the line x = k. If the area of the triangle is less than 50, find the sum of all possible integral values of k.
You can make the equation: (x+7.5)(23x+5)<100
The second term is the height of the triangle, and the first term is the base.
When you solve the equation, you find that x≤4.74.
This means that the possible ranges are: −7≤x≤4.
Of the values, −4≤x≤4 cancel out, making the sum: −15
You can make the equation: (x+7.5)(23x+5)<100
The second term is the height of the triangle, and the first term is the base.
When you solve the equation, you find that x≤4.74.
This means that the possible ranges are: −7≤x≤4.
Of the values, −4≤x≤4 cancel out, making the sum: −15