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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.

 Feb 15, 2022

Best Answer 

 #1
avatar+2668 
+1

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 x4.74

 

This means that the possible ranges are: 7x4.

 

Of the values, 4x4 cancel out, making the sum: 15

 Feb 15, 2022
 #1
avatar+2668 
+1
Best Answer

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 x4.74

 

This means that the possible ranges are: 7x4.

 

Of the values, 4x4 cancel out, making the sum: 15

BuilderBoi Feb 15, 2022

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