Describe the set of all points that satisfy x=9x=9 if the solution set is plotted (a) in RR, the xx-axis. (b) in R2R2, the xyxy-plane. (c) in R3R3, 33-space with variables xx, yy, and zz. Explain your answer using complete sentences with correct grammar, spelling, and punctuation.

Q: What are the coordinates of the point of intersection of yequals 5x-5 AND y=16-2x?

A: Given,     y = 5x - 5    y = 16 - 2x

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

A: Given: The given equations are drawn below,

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

A: Let A0,2, B0,-2, and C11,0 are the coordinates of the places Centreville and Springfield. A0,2…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = 1/(x2 +…

A: A function is symmetric with respect to the y-axis if f(x)=f(-x). Such a function is also called an…

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

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Q: Sketch the region in the xy-plane defined by the equation or inequalities. (a) -1sys3 (b) |지 < 4 and…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Q2: The plane is divided into a finite number of regions by drawing infinite straight lines in an…

A: Let n denote number of lines drawn on plane. We will prove the result with the help of mathematical…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.x2 − y = 0

A:

Q: Find the maximum value of f(x, y) = 4x + 6y subject to being on the circle ² +y² = 13.

A: We use formula of Lagrange's multiple Del(f(x)) = lamda * del(g(x))

Q: Find the closure of a straight line in R x R_.

A: Given: Straight line in ℝ×ℝ. To find: Closure of straight line in ℝ×ℝ.

Q: Find all points on the curve 5x² + 8y² = 64 %3D

A: Given: The curve 5x2+8y2=64 where tangent line passes through the point (11, 0). To find: All the…

Q: test for symmetry with respect to each axis and tothe originy2 = x3 − 8x

A: Here we have to test for symmetry with respect to each axis and tothe origin y2=x3-8x

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

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Q: Find the value of x in the rhombus. (3x - sx)° (4x - 24).

A:

Q: 2. Sketch the set of points determined by the condition (a) Re(7 - i) = 2; (b) |27 + i| = 4.

A: Use the value of z to simplify the given equations. Now solve them to their simplest form and then…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.xy2 + 10 = 0

A: The given equation is xy2+10=0

Q: Describe the set of all points that satisfy (x−1)(x−3)(x+5)=0(x−1)(x−3)(x+5)=0 if the solution set…

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Q: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.

A: Given: The planes are 5x+2y-7z=9 and -2x+8y+9z=3 To find the line of intersection of the given…

Q: For what minimum integer value of a, will the line ax+(a+1),y=18 (a> 0) have two intersection points…

A:

Q: For what minimum integer value of a, will the line ax+(a+1) y =18 www (a> 0) have two intersection…

A: If the line cuts the circle at two points then given line is secant line of the circle .The…

Q: Find the real number ( B) such that the line of symmetric equatic x - 3 == ) is parallel to the…

A:

Q: Find the maximum value of f(x, y) = 4x + 6y subject to being on the circle = 13. 5. x² + y

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Q: Find the coordinates of the other point whose one end is (1,0) and its midpoint is (0,1)? O (1,-2) O…

A: Let's find.

Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…

A: We have to describe the set of points in space whose coordinates satisfy the given combinations of…

Q: Show that the minimum distance from the origin to a point on theplane ax + by + cz = d is

A: Given: ax+by+cz=d we know that minimum distance p of a point x1,y1,z1 from given equation of plane…

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = x/(x2 +…

A:

Q: Show that if y is the boundary

A: To prove that if γ is the boundary of the trianglee with vertices at z=0, z=3i,and z=-4 oriented in…

Q: Give three other ordered-pairs of the form (r, θ) that name the same point as (3, 60°)

A:

Q: Give a geometric description of the following sets of points. x2 + y2 + z2 - 8x + 14y - 18z ≥ 65

A: Given: x2+y2+z2−8x+14y−18z≥65

Q: Give three other ordered-pairs of the form (r, e) that name the same point as (3, 60°)

A:

Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

Q: The distance from (-2,-5,-6) to the yz-plane is (A) -2 (B) 2 (C) (D) -5 (E) 6

A: Use distance between two points

Q: The graphs of r +y² + 6x – 24y + 72 = 0 and x² - y' + 6x + 16y - 46 0 intersect at four points.…

A: We have to find distance from given point to intersecting points of given equation. And then add all…

Q: Find the minimum distance from the point (-6, -6, 0) to the surface z = O√√559 O 3√61 09 O√773 O√69…

A:

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Determine what is the minimum distance from the origin to the line  y=-2x+5

A: topic - distance of line from origin

Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the…

Q: b. For the points C (x – 3,5 – Z)and D (4 – x, -8), find the midpoint if Z is the last digit in your…

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Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

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Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

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Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: Show that f(-ydx + xdy) where C is the line segment joining (x, y) and (x₂, y2).

A:

Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

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Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…

A: Given: The equations x=y, z=0 To find: The set of points whose coordinates satisfy the given…

Q: (A) Find the unique point P on the y-axis which is on both planes. (–, ,

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: Is it true that if ƒ(x) &gt; 0 at a point, then ƒ′(x) &gt; 0 atthat point? Is it true that if ƒ′(x)…

A: a) Let f(x) = sin(x) f ' (x) = cos(x). Let x=2π3 Find the function's value at a point x=2π3.…

Q: FIND THE APEA POONDED BY THE CUPVES y"=x"(4-x

A: We have to find the area bounded by the curve.

Q: What is y = _ + x3 1 curve x = 1 and x = 2 the length of the part 12 х between the abscissa points?

A: We find dy/dx using the power rule

Q: DETERMINE THE SHORTEST DISTAtNCE FROM THE POINT -1,2) 5x-12y=10, TO THE EQUATION %3D

A: