Determine area of ellipse with given equation


The line passes through points (-3,4) and (-1, 5). Compute: i. Slope ii. Equation of line y=mx+b c. Equation of line perpendicular to given line passing through (0,5).

1. Draw graph of y= -3x^2 + 11x + 20
2. Solve for x: Log5(x+3)-Log5(x-1)=1
3. Solve for x: Log4(x+3)+Log4(x-9)=3
4. If the line passes through points (2,3) and (5,9), compute point on line having shortest distance from (0,4).
5. Determine distance between points (-2,8) and (1,5). Compute midpoint of segment connecting the points.
6. Compute center, radius, and area of circle having equation: x^2 - 8x + y^2 + 3y = -5
7. Determine area of ellipse with equation 8x^2 + 5y^2 = 40
8. Compute exact values of: Cos405, Sin630, and Cos330
9. CosTHETA= 5/13 270

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Mathematics: Determine area of ellipse with given equation
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