the point A (x, y) of the first quadrant is located on the line with equation y = 6-5x. A rectangle with two sides on the coordinate axes has a vertex at the point A. a) Express the surface of the rectangle with respect to x b) Find the point (x, y) for which this surface takes the largest value

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: Given the equation (z - 13)+y? = 64, identify the center and radius. Do not enter any spaces when…

A: In this we have to tell the center and radius of circle.

Q: Find all hyperbolic lines that passes through i +1 and parallel to the y-axis.

A: Find all hyperbolic lines that passes through i+1 and parallelto the y-axis.

Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Find the velocity of Zoe relative to the surface of the water.

A: The velocity of Zoe Vz is 3 km/hr to west. Velocity of the current Vc is 15km/hr to north. So, the…

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: Find the missing value in the coordinate points: (2, -1) (x,3) & (11, 11) whose line is a collinear

A:

Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

A:

Q: Find an equation of the plane

A:

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

A:

Q: iii) Find the time when it reaches the highest vertical distance and calculate this distance. iv)…

A: Let's find highest vertical distance and draw the graph.

Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

A:

Q: 2) Which of the points (-2, 4, -7) and (3, -1, 5) Closest to Z-axis? Find the distance of each point…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.