Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 1187882: Find the equation of parabola: general and standard equation
Given condition: axis vertical and passing through (0,0),(1,0),and (5,-20)
Equation:
(x-h)^2=-4a(y-k)
Can you show me the solution, for my performance task:)) thank you.
Click here to see answer by ikleyn(52795)   |
Question 1187811: The oval-shaped lawn behind the White House in Washington, D.C. is called the Ellipse. It has views of the Washington Monument, the Jefferson Memorial, the Department of Commerce, and the Old Post Office Building. The Ellipse is 616 ft long, 528 ft wide, and is in the shape of a conic section. Write an equation for the ellipse that can be used to represent the shape of the oval-shaped lawn.
Click here to see answer by ikleyn(52795) |
Question 1187810: Space Science. A designer of a 200-foot-diameter parabolic electromagnetic antenna for tracking space probes wants to place the focus 100 feet above the vertex (see the figure). Find the equation of the parabola using the axis of the parabola as the y axis (up positive) and vertex at the origin.
Click here to see answer by Solver92311(821)  |
Question 1188376: You were sitting in a field when you saw an airplane that was 6 miles away from you and is 3 miles from the ground.
a. Illustrate the situation provided.
b. What is the angle of elevation from the ground where you are sitting to the airplane?
Click here to see answer by ikleyn(52795) |
Question 1188378: You were sitting in a field when you saw an airplane that was 6 miles away from you and is 3 miles from the ground. What is the angle of elevation from the ground where you are sitting to the airplane? Complete solution:
Click here to see answer by ikleyn(52795) |
Question 1189231: t
he center of a suspension bridge forms a parabolic arc. The cable is suspended from the top of the support
towers, which are 800 ft apart. The top of the towers 170 ft above the road and the lowest point on the cable is
midway between the towers and 10 ft above the road. Find the height of the cable above the road at a distance of
100 ft from the towers
Click here to see answer by Alan3354(69443)  |
Question 1189327: A point moves so that its distance from the point (2,-1) is equal to its distance from the x-axis. Find the equation of the
locus.
a. x^2 - 4x - 4y + 4 = 0
b. y^2 - 4x - 2y + 5 = 0
c. x^2 - 4x - 2y + 5 = 0
d. x^2 + 4x - 2y + 5 = 0
Click here to see answer by ikleyn(52795) |
Question 1189325: A conic has an equation of an asymptote equal to 3x=4y. What is the equation of the conic having its center at
origin and its transverse axis equal to y=0.
a. 9x2-16y2 = 144
b. 16x2 - 9y2 = 144
c. 9y2 - 16x2 = 144
d. 16y2 - 9x2 = 144
Click here to see answer by greenestamps(13200)  |
Question 1189325: A conic has an equation of an asymptote equal to 3x=4y. What is the equation of the conic having its center at
origin and its transverse axis equal to y=0.
a. 9x2-16y2 = 144
b. 16x2 - 9y2 = 144
c. 9y2 - 16x2 = 144
d. 16y2 - 9x2 = 144
Click here to see answer by MathLover1(20850)  |
Question 1189357: A parabola having an axis parallel to the y-axis passes through points A(1,1) B(2,2) & C(-1,5). Find the equation
of the parabola.
a. x^2 - 2x - y + 2 = 0
b. y^2 - 2x - y + 2 = 0
c. y^2 - x - 2y + 2 = 0
d. x^2 - x - 2y + 2 = 0
Click here to see answer by ikleyn(52795) |
Question 1189356: Find the equation of the circle whose center is on the line 2x - y + 4 = 0 and which passes thru the points (0,4)
and (3,7)
a. (x-7)^2 + (y-3)^2 = 8
b. (x-2)^2 + (y-3)^2 = 7
c. (x-7)^2 + (y-4)^2 = 6
d. (x-1)^2 + (y-6)^2 = 5
Click here to see answer by Alan3354(69443) |
Question 1189356: Find the equation of the circle whose center is on the line 2x - y + 4 = 0 and which passes thru the points (0,4)
and (3,7)
a. (x-7)^2 + (y-3)^2 = 8
b. (x-2)^2 + (y-3)^2 = 7
c. (x-7)^2 + (y-4)^2 = 6
d. (x-1)^2 + (y-6)^2 = 5
Click here to see answer by ikleyn(52795) |
Question 1189861: To find b the equation b= c 2 β a 2 can be used but the value of c must be determined. Since c is the
distance from the foci to the center, take either foci and determine the distance to the center. Then solve for b.
Foci (-3, 8): c=| 2β( β3 ) |=| 5 |=5
Foci (7, 8): c=| 2β 7 |=| β5 |=5
c = 5
b= c 2 β a 2
b= 5 2 β 3 2 = 16 =4
b = 4
Click here to see answer by ikleyn(52795) |
Question 1190114: This problem is all about Equation on circles.
A cellular phone network uses towers to transmit calls. Each tower transmits to a circular area. On a grid of a town, the coordinates of the towers and the circular areas covered by the towers are shown.
36. Write the equations that represent the transmission boundaries of the towers.
37. Tell which towers, if any, transmit to phones located at J(1, 1), K(4, 2), L(3.5, 4.5), M(2, 2.8), and N(1, 6).
I canβt post the illustration but I do hope opening this link would help
https://www.murrieta.k12.ca.us/cms/lib5/CA01000508/Centricity/Domain/1830/T11.7.pdf
(Located 5th page of the pdf, question numbers 36 and 37)
Answering this question would mean a lot to me, thank you!
Click here to see answer by math_tutor2020(3817) |
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