A right triangle in the first quadrant has the coordinate axes as sides, and the hypotenuse passes through the point (1, 8). Find the vertices of the triangle such that the length of the hypotenuse is minimum

Q: Kelly is plotting points on a graph to make a rectangle. So far she has done (1,1) (1,5) and (3,1).…

A: Lets try to plot the graph first, then we will solve the problem.

Q: 59. Find the coordinates of the point on the y-axis that is equidistant from (-3, –5) and (2, 4).

A: We can find the point as below

Q: A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35…

A:

Q: Find the center and the radius of the circle with the equation x2 + 10 x + y² + 8 y – 128 = 0 Enter…

A: Given : x2+10x+y2+8y-128 = 0

Q: Find an equation of the circle whose diameter has endpoints (-2,3) and (4,5).

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Q: ?^2+16?=4?−32 vertex : (  ,  ) focus : (  ,  ) directrix ? =

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Q: Find a and b if the segment with endpoints (1 - 2a, b) and (3a, 3b + 2) has midpoint of (2, 5). How…

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Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: (3, 5) a (-1, 2) -2 1 2 3 4 -1

A: Here in this question given that a triangle and find its hypotenuse . Their are two points given…

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: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Find a point whose coordinates are integers and whose distance from (3, 2) is √41

A: To find:   a point whose coordinates are integers and whose distance from (3, 2) is √41 Consider the…

Q: Find the points on the circle are farthest and nearest to the point (-5,6). x\power{2}+y\power…

A: The given circle is  x2+y2-2x+4y-20=0 The center of the circle is C(1,-2) and the radius is r=5…

Q: Find the distance between the points: (-1,-2), (-9,5) V113 185 145 181 202

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Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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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.