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ANALYTIC GEOMETRY (STRAIGHT LINES & CONICS)
Straight LinesA line has an equation of x + 5y + 5 = 0.
1. Find the equation of the line through point (3,1) that is perpendicular to this line.2. Find the equation of the line through point (3,1) that is parallel to this line.
ParabolaA parabola has an equation of y5 = Cx - D. The distance of the latus rectum is 4. If the distance of the axis of the parabola to x-axis is zero.1. Compute the value of C.2. Compute the value of D.3. Compute the equation of the directrix
Ellipse
An ellipse has an equation equal to 9x2 - 144x + 16y2 + 96y + 576 = 0.1. Compute the center of the curve.2. Compute the eccentricity of the curve.3. Compute the length of the latus rectum.
Some questions for general equations of conics:
What conic section is represented by x2 - 4y2 + 8x + 4y = 15?
The equation x2 + y2 - 4x + 2y - 20 = 0 describes:a. Circleb. Ellipsec. Parabolad. Hyperbola
If you drew all possible samples from some population, calculated the mean for each of the samples, and constructed a line graph (showing the shape of the distribution) based on all of those means, what would you have?
What is the parallelogram unit for the area of paraleelogram is given by the formaula a=bh and the area on right is 66 sq. units
1) What is the maximum number of boxes can be loaded to a 40 ft container?
How many strings of eight English letters are there that contain no vowels, if letters can be repeated?
Sketch the graph of each parabola by using the vertex, the y-intercept, and two other points, not including the x-intercepts.
How do you construct the equation of a line if two points on the line are known? Explain the process you use.
seating capacity of six is to be used by six employees who have formed a car pool. If only four of these employees can drive, how many possible seating arrangements are there for the group?
Explain meaningful use and its impact to physician practices. What financial incentives are created for physicians and what efficiencies will be created?
The Bamboo Furniture Company manufactures rattan patio furniture. It has just purchased a machine for $13,500 to cut and glue the pieces of wood.
An inlet pipe on a swimming pool can be used to fill the pool in 6 hours. The drain pipe can be used to empty the pool in 8 hours. If the pool is 12 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take ..
1. Design a roller coaster by making a piecewise function using four different polynomial functions. The domain of the function needs to be restricted to prevent overlapping, and should be a smooth ride.
Given that she has not been promoted, what is the probability that she has passed her professional exams - she is not promoted if she fails her professional
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