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MATH / 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 20, find the sum of all possible integral values…

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problem

A triangle is formed with edges along the line y=23x+5y=\frac{2}{3}x+5, the xx-axis, and the line x=kx=k. If the area of the triangle is less than 2020, find the sum of all possible integral values of kk.
Plain-text mathematical notation (without MathML)
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 20, find the sum of all possible integral values of k.
Original LaTeX notation
A triangle is formed with edges along the line $y=\frac{2}{3}x+5$, the $x$-axis, and the line $x=k$. If the area of the triangle is less than $20$, find the sum of all possible integral values of $k$.

level

Level 5

type

Algebra

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Source and history

task_id
653a49e1-d941-5f88-9cf9-4629e9e59355
task_key
algebra--test--653a49e1-d941-5f88-9cf9-4629e9e59355
task_revision_id
1
config / split
algebra / test

Official source

initial import