jpauloweyt
New member
- Joined
- Oct 24, 2016
- Messages
- 2
"If distance between ( x, -1 ) and ( 2, 3) equals 4, solve for x" & 19 other q's
GUYs I HAVE NO GUESS, I Even Don't know a single thing about this. And it's my project but i don't know what to do HUHUHUH1:sad::sad:
So here it is:
(this is 20 sorry guys but hoping you could help me!! so badly!!)
1. If the distance between ( x, -1 ) and ( 2, 3) is equal to 4, solve for the value of x.
2. If ( 4, y ) is equidistant from ( 5, -2 ) and ( 3, 4 ), determine the value of y. Plot the three points.
3. Determine the equation of the line having the parametric equations x = 2 + t and y = 5 – 3t.
4. Three points lie in a straight line ( -2, 3 ), ( -3, 5 ) and ( x, y ). Solve for the equation of the line. Sketch the graph of the line.
5. The equation of a given line is 3x – 4y – 8k = 0. If the y – intercept of this line is 2, determine the value of k?
6. The base of an isosceles triangle is the line segment joining the points ( 4, -3 ) and ( -4, 5 ). Determine the equation of the line where the third vertex is located. Sketch the graph.
7. Solve for the equation of the circle having a radius of 4 units and concentric with the circle x2 + y2 -4x – 6y + 4 = 0.
8. Compute for the distance between the centers of the two circles x2 + y2 -4x – 4y + 4 = 0 and x2 + y2 -4x + 8y + 4 = 0. Sketch the graph.
9. Solve for the equation of a circle circumscribing a triangle whose vertices are ( 0, 0 ), ( 0, 5 ) and ( 3, 3 ). Sketch the graph.
10. Compute for the length of the chord of a circle defined by the equation x2 + y2 -16x = 0 if the distance between the chord and the center of the circle is 4 units.
11. One endpoint of the latus rectum of a certain parabola is located at ( -3, 6 ). The vertex is at the origin and the axis is parallel to the x – axis. Compute for the length of the latus rectum.
12. Determine the equation of a parabola whose axis is vertical and passing thru ( 0, 0 ), ( 1, 0 ) and (5, -20 ). Plot the points then sketch the graph.
13. An automobile headlight is cut a by a plane thru its axis, the section formed is a parabola having the light center as the focus. If the light is 18mm from the vertex and the diameter of the reflector is 250mm, find the depth of the headlight. Draw the figure.
14. Water spouts from the tip of a horizontal pipe 40m above the ground. 20m below the pipe, the water stream is at a horizontal distance of 16m from the vertical line thru the end of the pipe. How far from the vertical line will the stream of water hit the ground?
15. An ellipse has an eccentricity of 1/3. Compute for the distance between the directrices if the distance between foci is 4.
16. Solve for the equation of an ellipse with foci at ( 2, -7 ) and ( 2, 9 ) and with 2a = 34. Sketch the curve.
17. An ellipse has an equation of the form Ax2 + By2 + F = 0. If the curve passes thru ( 4, 0 ) and(0, 3), determine the general equation of the ellipse.
18. Determine the vertices of the hyperbola 16y2 – 9x2 + 36x + 96y – 36 = 0. Sketch the graph.
19. Compute for the eccentricity of the conic section 16x2 – 9y2 - 128x – 90y – 113 = 0.
20. Compute for the eccentricity of a hyperbola having 2c = 18 and distance between directrices equal to 2. Sketch the graph.
GUYs I HAVE NO GUESS, I Even Don't know a single thing about this. And it's my project but i don't know what to do HUHUHUH1:sad::sad:
So here it is:
(this is 20 sorry guys but hoping you could help me!! so badly!!)
1. If the distance between ( x, -1 ) and ( 2, 3) is equal to 4, solve for the value of x.
2. If ( 4, y ) is equidistant from ( 5, -2 ) and ( 3, 4 ), determine the value of y. Plot the three points.
3. Determine the equation of the line having the parametric equations x = 2 + t and y = 5 – 3t.
4. Three points lie in a straight line ( -2, 3 ), ( -3, 5 ) and ( x, y ). Solve for the equation of the line. Sketch the graph of the line.
5. The equation of a given line is 3x – 4y – 8k = 0. If the y – intercept of this line is 2, determine the value of k?
6. The base of an isosceles triangle is the line segment joining the points ( 4, -3 ) and ( -4, 5 ). Determine the equation of the line where the third vertex is located. Sketch the graph.
7. Solve for the equation of the circle having a radius of 4 units and concentric with the circle x2 + y2 -4x – 6y + 4 = 0.
8. Compute for the distance between the centers of the two circles x2 + y2 -4x – 4y + 4 = 0 and x2 + y2 -4x + 8y + 4 = 0. Sketch the graph.
9. Solve for the equation of a circle circumscribing a triangle whose vertices are ( 0, 0 ), ( 0, 5 ) and ( 3, 3 ). Sketch the graph.
10. Compute for the length of the chord of a circle defined by the equation x2 + y2 -16x = 0 if the distance between the chord and the center of the circle is 4 units.
11. One endpoint of the latus rectum of a certain parabola is located at ( -3, 6 ). The vertex is at the origin and the axis is parallel to the x – axis. Compute for the length of the latus rectum.
12. Determine the equation of a parabola whose axis is vertical and passing thru ( 0, 0 ), ( 1, 0 ) and (5, -20 ). Plot the points then sketch the graph.
13. An automobile headlight is cut a by a plane thru its axis, the section formed is a parabola having the light center as the focus. If the light is 18mm from the vertex and the diameter of the reflector is 250mm, find the depth of the headlight. Draw the figure.
14. Water spouts from the tip of a horizontal pipe 40m above the ground. 20m below the pipe, the water stream is at a horizontal distance of 16m from the vertical line thru the end of the pipe. How far from the vertical line will the stream of water hit the ground?
15. An ellipse has an eccentricity of 1/3. Compute for the distance between the directrices if the distance between foci is 4.
16. Solve for the equation of an ellipse with foci at ( 2, -7 ) and ( 2, 9 ) and with 2a = 34. Sketch the curve.
17. An ellipse has an equation of the form Ax2 + By2 + F = 0. If the curve passes thru ( 4, 0 ) and(0, 3), determine the general equation of the ellipse.
18. Determine the vertices of the hyperbola 16y2 – 9x2 + 36x + 96y – 36 = 0. Sketch the graph.
19. Compute for the eccentricity of the conic section 16x2 – 9y2 - 128x – 90y – 113 = 0.
20. Compute for the eccentricity of a hyperbola having 2c = 18 and distance between directrices equal to 2. Sketch the graph.
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