What is the minimal perimeter that a rectangle can have if it has one ertex at the origin, one vertex on the curve y = 22, one vertex on the x-axis and one vertex on the y-axis? y

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: truck travelling west at 100km/h is 250km due east of a sports car going north at 120km/h.…

A: At t = 1.04 hour, they are closests to each other. Minimum distance between them is 192.07 km.

Q: Use slopes to show that the points are vertices of the specified polygon

A: To show that the point A(1,4), B(6,-4), and C(-15,-6) are vertices of a right triangle. In order to…

Q: A box with square bottom and no top is to contain 32 cubic inches Find the dimensions that will lead…

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Q: What about the type of point? It says it's not a minimum.

A: We need to write down that the point is minimum, maximum or saddle point.

Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

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Q: A house on a hill is enclosed by a circular fence with center at the front door. The fence is made…

A: According to question, The fence is described by x2+y2=80 with origin at the center of the circle.…

Q: (x1,y1)=(4, 2),(x2,y2)=(3, 0),  (x3,y3)= (1, 7) and(x4,y4)=(8,2). Trace these points on graph, also…

A: Let A(4,2) , B(3,0) , C(1,7) , D(8,2)

Q: What is a fixed point theorem?

A: Fixed point: Let f be any function. A point x0 in its domain is said to be fixed point if fx0=x0.

Q: Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and…

A: We have to classify the quadrilateral

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Given that :Centerville is the head quarters of the greedy Cablevision Inc. The cable company is…

Q: Show that the rectangle that has maximum area for a given perimeter is a square.

A: Given the rectangle. We have to show that the rectangle that has maximum area for a given perimeter…

Q: 3. Graph. Be sure to label all intercepts. a) y = 2|x + 3|- 4 y-axis x-axis -3 -2 -1 -1 -2 -3 -4 3.…

A: Given: y=2x+3-4 for drawing graph of given expression, first we simplify it so,…

Q: Are less than and greater than graphed with open circles or closed circles

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Q: Find the length of a semi-circle with endpoints at (1,3) and (4.7)/

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Q: Explain why we require a minimum of 3 points to define a curve. When would we r points to…

A: Let's speak of conic curves. General equation of a conic is  Ax2+By2+2Gx+2Fy+2Hxy+C = 0.

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: Note: Perimeter of a rectangle =2Length+Breadth         Area of a rectangle =Length×Breadth   Show…

Q: Hey circle has a diameter with an points F(9,-4)and G(3,-2). Determine the area of the circle.

A: Given that diameter of circle has points F(9,-4) and G(3,-2) To find the area of circle

Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

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