Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is the distance between them? b. What are the coordinates for the midpoint of the line segment PQ? c. Find an equation for the sphere that has a diameter with one endpoint at P and the other at Q.

Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. Center at…

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Q: Find the center and radius of the circle with the given equations. a. x² + y² = 48 b. 3x² + 3y² = 21…

A: Here in given equations a, b, c we have to find the center and radius of the equation.

Q: B. Find the coordinates of the center and the length of the radius for each circle whose equation is…

A: 1.(x-9)2+(y-10)2=1

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

Q: 1. Plot the points whose coordinates are given. Then find the rectangular coordinates of the point.…

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Q: In right AOAT, M is the midpoint of AT. a. M has coordinates (?, b. Find, and compare, the lengths…

A: In right triangle OAT, given coordinates are O(0, 0), A(0, 8) and T(-6, 0)

Q: B. Write the standard equation of a circle with the given center and radius. 3. Center :(0,0);…

A: According to company rule we can answer only first question and rest can be reposted.

Q: C. Answer each of the following : 1. Which of the following points is nearest to ( 3,4) ? а. (4,0)…

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Q: 1. For the circle with equation (x – 2)2 + (y - 3)2 = 9, answer each question. (a) What are the…

A: Given that: Equation of circle:  (x-2)2+(y-3)2=9

Q: a. (x - 2) 2 + (y - 2) 2 = 40 b. (x - 2) 2 + (x + 2) 2 = 34 10. If the equation of the circle is x2…

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Q: 14.) Using the equation of a circle (x- 3)² + y? = 49 find the radius and the center:

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Q: A E F G D B Use the visual to prove that the point where the perpendicular bisectors of the sides of…

A: Perpendicular bisector theorem : Any point on the perpendicular bisector of a line segment is…

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: The statement given is ,  The equation of the circle whose centre is at the origin with radius 16 is…

Q: 1. Write the equation of the circle with the center at (1, -2) and radius equal to 6. 2. Write the…

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Q: Consider the circle with equation (x+ 5)²+y² = 121. What are the coordinates of the center of the…

A: By comparing with the standard equation of circle we solve it.

Q: 3. Find the center and the radius of the circle and sketch the circle 2x? + 2y? – 4x + 8y – 4 = 0

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Q: A. Write the equation of a circle satisfying the following conditions. 1 Center at the origin with…

A: topic - equation of circle

Q: Determine the type of shape graphed below, based on its coordinate properties (not its looks). A.…

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Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: 5. Find the center and radius of the circle with equation (x + 1)² + (y - 3)² =9. Then graph the…

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Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

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Q: Given the points P(0,4) and Q(4,7): state the equation of a circle with center P and which has the…

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