Determine the equation of the line through (3,4) which forms the positive x and y axes, the triangle with the least area.

Q: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

A:

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

A:

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: Find the area of the rectangle whose vertices are the points with coordinates (5, 2), (5, -6), (0,…

A: Explanation: Given that,  Vertices are : (5, 2), (5, -6), (0, -6), and (0, 2).     Firstly we will…

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: The municipal Parks Department is planning a new flower bed outside the city hall. It will be…

A: Given that the dimensions of the rectangular park are 9 m by 6 m. The flower bed will be surrounded…

Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

A:

Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…