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Problem 19

Find an equation of the line that satisfies the given conditions. Through \((2,1)\) and \((1,6)\)

Problem 19

13–22 ? Express the statement as an equation. Use the given information to find the constant of proportionality. \(C\) is jointly proportional to \(l, w,\) and \(h .\) If \(I=w=h=2,\) then \(C=128.\)

Problem 19

19–44 ? Make a table of values and sketch the graph of the equation. Find the x- and y-intercepts and test for symmetry. $$ y=-x $$

Problem 19

\(19-32\) Sketch the region given by the set. $$ \\{(x, y) | x \leq 0\\} $$

Problem 20

13–22 ? Express the statement as an equation. Use the given information to find the constant of proportionality. \(H\) is jointly proportional to the squares of \(l\) and \(w .\) If \(l=2\) and \(w=\frac{1}{3},\) then \(H=36.\)

Problem 20

19–44 ? Make a table of values and sketch the graph of the equation. Find the x- and y-intercepts and test for symmetry. $$ y=2 x $$

Problem 20

Find an equation of the line that satisfies the given conditions. Through \((-1,-2)\) and \((4,3)\)

Problem 20

\(19-32\) Sketch the region given by the set. $$ \\{(x, y) | y \geq 0\\} $$

Problem 21

13–22 ? Express the statement as an equation. Use the given information to find the constant of proportionality. \(s\) is inversely proportional to the square root of \(t .\) If \(s=100\) , then \(t=25 .\)

Problem 21

19–44 ? Make a table of values and sketch the graph of the equation. Find the x- and y-intercepts and test for symmetry. $$ y=-x+4 $$

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