a. Radio signals emitted from points (8, 0) and (-8, 0) indicate that a plane is 8 mi closer to (8, 0) than to (-8, 0). Find an equation of the hyperbola that passes through the plane's location and with foci (8, 0) and (-8, 0). All units are in miles. b. At the same time, radio signals emitted from points (0, 8) and (0, -8) indicate that the plane is 4 mi farther from (0, 8) than from (0, -8). Find an equation of the hyperbola that passes through the plane's location and with foci (0, 8) and (0, -8). C. From the figure, the plane is located in the fourth quadrant of the coordinate system. Solve the system of equations defining the two hyperbolas for the point of intersection in the fourth quadrant. This is the location of the plane. Then round the coordinates to the nearest tenth of a mile.

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: The diameter of a circle is 4 units and its center is at (4,3). What is the equation of the circle?…

A:

Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

A:

Q: Ex. For the hyperbola *-= find the coordinates for the foci and vertices.

A:

Q: 1. Find the equation of a) a circle with center (2,-3) and passes through the point (5,-1). b) the…

A: a) Here given that center of circle is (2,-3). Since circle passes through the point (5,-1). So,…

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: A bridge is built in the shape of a parabolic arch. The bridge has a span of s = 180 feet and a…

A: Given Shape of the bridge is parabolic. Span of the bridge=180 feet Maximum height=25 feet

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

A:

Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

A: