Give a geometric description of the following set of points. x² +y? +z? - 10x+ 16y - 12z +61 = 0 Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) O A. A sphere centered at ( with radius O B. A ball centered at ( D with radius O C. The exterior of a ball centered at D with radius

Q: Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (a) What is the distance between P and Q?…

A: P = (3, 2, 1) and Q = (1, 2, 3) in R3 To find: “Since you have posted a question with multiple…

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Q: Determine the are of a triangle formed by the given 7x+8y=69 and the coordinate axes x and y.

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Q: Give a geometric description of the set of points whose coordinates satisfy the given conditions. 8)…

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Q: 2) Provide a geometric description of the following sets of points: a) x? + y? +z? 1

A: Here we have to provide a geometric description.

Q: Determine the vertex, opening and the length of the latus rectum in the given equation below. 1. y?+…

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Q: Test for symmetry with respect to each axis and to the origin. y = x4 − x2 + 3

A: Given y=x4-x2+3Test of symmetry about X axis Substitute -y in place of y ,-y=x4-x2+3…

Q: Test for symmetry with respect to each axis and to the origin y = x5 /(4 − x2)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

Q: • Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x?…

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Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: Give a geometric description of the following set of points. x2 - 24x + y? + 8y + z? + 160 = 0…

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Q: Which of the following point is the closest point on the sphere a? + y? +2? = 4 from the point…

A: In this question we have to find the point that is closest point on the sphere.

Q: Test for symmetry with respect to each axis and to the origin y = x /(x2 + 1)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

Q: 4. Determine the name of the point that meets the given conditions. a) R(A) = R,(C) = b) g R, (D) =…

A: "Since you have asked multiple question, we will solve first question for you. If you want any…

Q: 2. Find the points of intersection of the two circles x? + y² + 4x = 0 and x² + y² – 4y = 0. Sketch…

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Q: 28. Given the points A(3, 2) and B(7, -6) what is the point halfway between A and the midpoint of…

A: To solve the following problem

Q: 7 Find the coordinates of the points of intersection of each of the following pairs of circles. x'…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Consider the given equation is, y=x2z=0 From the given equations, the geometric description is that…

Q: In the Cartesian plane below, rectangle MNQR is shown. y (cm) N(12,29) M P >x (cm) R • An ant starts…

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Q: 3. Find the coordinates for circular point w Q. b. C. d.

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Q: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: 3. The midpoint of XY is M(6, -5). If the coordinates of X are (-3, -2), what are the coordinates of…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Use the situation below to answer Part A and Part B. Circle Q has a center at (-2, -3) and circle R…

A: Given  Centre of circle Q is at -2,-3 and Centre of circle R is at 1,-1. The objective is select the…

Q: test for symmetry with respect to each axis and tothe origin.y = x3 + x

A: Function is a relation from a set called its domain to a set called its range. For this relation to…

Q: Complete the derivation of the standard form of the equation of a circle with center (h, k). (x, y)…

A: To complete the derivation

Q: Use the information provided to write the standard form equation of each circle. 8.r +.x² – 2y = 64…

A: i) 8x+x2-2y=64-y2ii) 137+6y=-y2-x2-24xiii) x2+2x+y2=55+10y Note:    Multiple parts are given, we are…

Q: Describe in words the surface whose equation is given. p = 7 O a circular cylinder with radius 7 and…

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Q: Describe with a sketch the sets of points (x, y, z) satisfying the following equations. (x + 1)(y -…

A: The given equation is x+1y-3=0. This implies that, x+1y-3=0x+1=0   or  y-3=0x=-1   or   y=3 Thus,…

Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

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Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Given that the point (5, 0) a) symmetric with respect to the x axis Substitute the coordinate -y for…

Q: A (2,5) and B(6,9) C (4,-1) and D(7,4) E (-5,6) and F(8,10)

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Q: Determine whether the points below are inside the circle, on the circle, or outside the circle x2 +…

A: To find whether the following points lies inside, outside or on the circle.

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: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: (a) Consider the point (-3, 1). Recall that to find the point that is symmetric about the x-axis, we…

Q: Test for symmetry with respect to each axis and to the origin. y2 = x2 − 5

A: The equation is y2=x2-5.   Test for symmetry about y-axis. Replace x with -x. y2=-x2-5y2=x2-5   The…

Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

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Q: Which among the following statements are FALSE? I. The midpoint of a line segment joining two points…

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Q: Which of the following point is the farthest point on the sphere a? + y² + z? = 4 from the point…

A: The equation of sphere is given as, From the equation it is clear that the sphere has its center at…

Q: B 150m 86° 120m G

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Q: Test for symmetry with respect to each axis and to the origin. y = x2 + 4x

A: Consider the following equation: y=x2+4x                                  ...... 1 For symmetry…

Q: Find the distance from the origin to the geometric object in R³ described by x+y+z=0. Select one: a.…

A: A cartesian coordinate system contains three mutually perpendicular number lines named x axis, y…

Q: A. Determine the center and radius of the following circles. 1. (x - 4)2 + y + 8)? = 100 2. (x + 1)²…

A: I have answered first three subparts as per the guidelines.

Q: Provide a geometric description of the following sets of points: a) x? + y? +z? 1

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Q: Which of the following would give the coordinates of the midpoint of P(-6, 13) and Q(9, 6)? O…

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Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

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Q: LAMB is an isosceles trapezoid and XY is the midsegment. Find the value of x. 16 4х + 1 Y 10

A: LAMB is an isosceles trapezoid and xy is the midsegment. so XY=BM+LA2 XY=10+162 XY=13 4X+1=13 4X=12…

Q: Match each equation to its description. A. circle centered at (0, -4) with a radius of 1. (x – 1)? +…

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Q: Use the Pythagorean Theorem to determine the distance between the two points on the coordinate…

A: As we know that the Pythagorean theorem: a2+b2=c2 Where; ''c'' is the hypotenuse, ''a'' & ''b''…

Q: Find the coordinates of the midpoint of PQ with endpoints P(34, 2) and Q (14, -4). O (24, -1) O (-1,…

A: Find the coordinates of the mid-point.

Q: Name a fourth point that is in the same plane as the given points. 11. A, B, C 14. A. D, E 12. E. F.…

A: The point D is on the same plane as A, B, C. The point H is on the same plane as A, D, E. The point…