find the area of the right triangle bounded by the x-axis and y-axis, and the line 3x+5y-15=0.

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find the area of the right triangle bounded by the x-axis and y-axis, and the line 3x+5y-15=0.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1328001161582:dw| consider the line AB whose equation 3x+5y=15 if y=0 x=5 B(5,0) if x=0 y=3 A(0,3) Area = 1/2* Base* height Area=1/2* OB*AO OB=5 units AO=3 units Area=1/2*5*3=7.5 square unit
\[ 3x+5y-15=0 \implies \frac x5 +\frac y3 = 1 \] So, the x intercept and y intercept are 5 and 3 units respectively, which means the area is \(\frac{15}2\) units

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