Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance 5 from P(1, 3).

Q: Find the shortest distance, d, from the point (11, 0, –6) to the plane x + y + z = 6. = p

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Q: 2. The midpoint of the line segment between Pi (x, y) and point P2 (-2, 4) is Pm (2, -1). Find the…

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Q: The coordinates of P are (2,0) and the coordinates of Q are (0,-6). Find the midpoint of segment PQ.

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Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: a) Find the distance between the point P (9, 1) and the line 3x+4y 6.

A: As per our guidelines we are supposed to solve only one question i.e. the question no (a). For the…

Q: The distance between the points (-3,-5) and (2, 7) on the coordinate plane is given as y+. What is…

A: Distance Between Two Points We use the Pythagoras Theorem to derive a formula for finding the…

Q: What are the coordinates of P(0) if P(0) is a point on the unit circle and 0 : = "?

A: Coordinates of unit circle: rcosθ,rsinθ=1×cos5π6,1×sin5π6=cosπ-π6,sinπ-π6=-cosπ6,sinπ6=-32,12

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

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Q: What is the size of the acute angle formed by the x-axis and the line 3x + 2y = 12?

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Q: Find all points having a y-coordinate of - 6 whose distancefrom the point (1, 2) is 17.(a) By using…

A: a. Using Pythagorean theorem. The converse of the Pythagorean Theorem states that the sum of the…

Q: Find the point(s) on x = 3 - y that are closest to point A = (1,0).

A: Given: Curve x=3-y2 and a point A(1,0).

Q: Find the angle from the line 9y – 5x + 23 = 0 to the vertical line 6 units from the y – axis. Angles…

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Q: Find the distance from the point to the given line. (0, 1, 2); x= 2t, y = 5 – 3t, z = 2 + t %3D

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Q: Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first…

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Q: Sketch parallelogram-INDY with diagonals intersecting at point P in the box below on the left. If IP…

A: Given,           A parallelogram INDY with diagonals intersevting at point P.           IP=3x,…

Q: In Problem,find the distance from P1 to P2.

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Q: Find the value of  x for which the distance between the point P(2, -3) and Q (x, 5) is 10

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Q: The distance between the points (3, 6) and (x, 5) is 7. What is/are the coordinate(s) ofx?

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Find the shortest distance from the point ( – 1, – 2, 5) to the cone z = x² + y?. Please round to…

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Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Given, Midpoint of segment =7,-1  endpoint of segment = 6, 8   We have to find the other endpoint of…

Q: Find all points having a y-coordinate of -6 whose distance from the point(1,2) is 17. (a) By using…

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

Q: B. Find the line through the point p(1,4) with an inclination V3

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Q: Find the shortest distance from the point (- 1, – 2, 5) to the cone z = x² + y². Please | round to…

A: Distance of a point from cone is                                      d=(x-x1)2+(y-y1)2+(z-z1)2 from…

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. Р(х, у) -

A: Given:

Q: Find the distance from the point (4, 3, 0) to the y-axis

A: We have to find the distance from the point 4, 3, 0 to the y-axis. We know that distance from the…

Q: Find the points on z the point (1, 2, 3) axis which are at a distance /21 from

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: coordinates

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Q: The equation of circle C is (x+3)^2+(y-8)^2%3D36. What is its radius (h,k)? *

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Q: Find the point(s) on x = 3 – y? that are closest to point A=(1,0).

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Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

A: Consider the one end point and midpoint as (14, 16) and (15, 7).Let the other end point the line…

Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

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Q: find the distance from the point to the line (2, 2, 0); x = -t, y = t, z = -1 + t

A: Given information: The point to the line is (2, 2, 0) and x = -t, y = t, z = -1 + t. Calculation:…

Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: point

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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: At what points will the line y =x intersect the unit circle x2 +y2 =1 ?

A: We have to find the points where line y=x is intersecting the unit circle: x2+y2=1 To find the…

Q: If C1 is the segment connecting (x1, Y1) to (x2, Y2), find | x dy – y dx in terms of the four…

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: Find the tangent plane to the equation z = 5a° + æy? + 2 at the point (2, – 4, - 6)

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Q: Determine the exact distance from the point P (1,2) to the line (-1,3) + t(2,9), t e R . Show your…

A: Given

Q: If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the…

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Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12