How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x- 2y=4?

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

A:

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

A: To prove that no two lines in hyperbolic geometry are equidistant from one another , first we…

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

A:

Q: At what point does the normal to y=4x2−(2+3x)y=4x2−(2+3x) at (1,−1)(1,−1) intersect the parabola a…

A:

Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

Q: In a flat geographic region, the course of two rivers can be represented approximately by the…

A:

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: What is the maximum vertical distance between the line y = x + 51 and the parabola y= x² over the…

A: Given: The line y=x+51 and the parabola y=x2 To find: Maximum vertical distance between given line…

Q: The midpoint of AB is at (- 1, – 1). If A = (5, Tind B. %3D - B is:(

A:

Q: opens upward with vertex at (-12,-6) with directrix y=- 17

A:

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

A:

Q: If the straight lines are coplaner then they are?

A:

Q: What is the maximum vertical distance between the line  y = x + 30  and the parabola  y = x2 for…

A: Definition used -                  Vertical distance is given by -…

Q: Find the shortest distance from the point P(2,-1, 1) to the plane with =quation x - y + 2z = –1 and…

A: Shortest point of the given plane and point P.  Distance from the point P and Q

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

A:

Q: A right triangle has legs of lengths x and 2x + 2 and a hypotenuse of length 2x + 3. What are the…

A: Given, a right triangle has legs of length x and 2x+2 and hypotenuse of length 2x+3

Q: a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3. what are the…

A: Given that  a right triangle has legs of lengths x and 2x+2 and a hypotenuse of length 2x+3.

Q: Suppose that point C lies in plane X and point D lies in plane X. What can you conclude regarding…

A: What can you conclude regarding CD↔.

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

A: Hyperbolic Geometry:        It is also a non-Euclidean geometry. It is through a point not on a…

Q: Compute the original coordinates with respect to x and y axes if the translated coordinates of this…

A:

Q: Find the point on the line y = 2x + 3 that is closest to theorigin.

A: Given equation of line,  y = 2x + 3 To find the point on line that is closest to the origin.

Q: The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval…

A:

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx The…

Q: A point moves such that the ratio of its distances from two fixed point is constant, show that its…

A: Let the moving point be P (x, y, z). Let A(a, 0, 0) and B(-a, 0, 0) be two fixed points.

Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

A:

Q: Is it possible to angle the flashlight in such way that the boundary of the lighted area is a…

A:

Q: Which quadrilater- al best matches the description be- low?

A: To matchDescription with their corresponding name

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: Suppose the midpoint of line segment AB is M-(-4,2). If point A has coordinates (-6, -4), what are…

A:

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

A:

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

A:

Q: Prove analytically that the midpoint of the hypotenuse of a right triangle is equidistant from the…

A:

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: Explain why a line in hyperbolic geometry must contain two distinct ideal points.

A: We have to answer given Questions.

Q: show that points (2) ) are ( 3 ) 2 (52) A on-Coplaner ( ره ) -

A:

Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

A:

Q: 5, what is the speed of the plane?

A:

Q: In the standard (x,y) plane, what is the distance between (3, 4) and (6, 2)?

A:

Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: A parabola is the set of all points in the plane that areequidistant from a fixed point called the…

A:

Q: If point A is one unit to the right of Y-axis and two units above the X-axis while point B is two…

A:

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: A variable straight line of slope 4 intersects the hyperbola xy = 1 at two points. The locus of the…

A: Introduction :

Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [–…

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0…

Q: Find the coorfinates of the foci, length of the transverse and conjugate axis: 16x2 - 25y2 = 400

A:

Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…

A:

Q: 2- Find. the pe-intercept. @through-points(-2,-3)-and-(4,8). having Shpe zandymintercept--Í©through…

A: As this is a multiple sub-parts question, according to the Bartleby Answering guideline, only first…

Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.