A hyperbola in standard position has a foci of (±17,0) and x-intercepts of ±15.  A. What is the eccentricity of e of the hyperbola  B. What are the equations of the directrices of the hyperbola  C. Show that the equation of the hyperbola is 64x2 - 225y2 = 14,400

Q: Find the equation of the given hyperbola with Vertices (±3, 0) and foci (±5, 0)

A: Given: Vertices (±3, 0) and foci (±5, 0)

Q: An arch is in the shape of a parabola. It has a spar of 378 feet and a maximum height of 27 feet.…

A: The standard equation for a parabola is given by y=a(x-h)2+k. Substitute the vertex of the parabola,…

Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A:

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

Q: 5x² - 7y² - 5z² = 1

A: The equation is

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

A:

Q: Write the standard equation of a hyperbola whose center is at (-3,-5), one 14√11 of its foci is at…

A: Given

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

A:

Q: Find the equation of the hyperbola in standard form centered with foci located at the points (-6,…

A: In this question we will use basic of calculus i.e equation of hyperbola. We will simply write the…

Q: Determine if 36x + 25y = 900x is a hyperbola and if it is, which type it is.

A:

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum