R.1. Use the distance formula to find the distance between the points (6, 12) and (-1, 12).

Q: 1 Find the distance from the origin to the point P(2, 8, –4)

A: Given: P2,8,-4, Q0,0,0 We know that distanced between pointsx1,y1,z1,x2,y2,z2 is given by…

Q: find the distance d between the points P1 and P2. P1 = ( - 0.2, 0.3); P2 = (2.3, 1.1)

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Q: Use the Pythagorean's theorem to find the distance, to the nearest tenth, between F(6,5) and…

A: Let’s plot the points F(6,5) and G(-2,3) on graph Form a right angle triangle with hypotenuse…

Q: Use the above formula to find the distance from the point to the given line. (0, 3, 3);    x = 3t,…

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Q: (b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through…

A: Given :- Find the distance from the point P1,1,1 to the line through Q0,8,7 and R-1,2,6.

Q: Use the above formula to find the distance from the point to the given line. (0, 2, 1); x = 3t, y =…

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Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

Q: The distance between the points (-3,-5) and (2,7) on the coordinate plane is given as 52 +t2. What…

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Q: 2) If you are given two points in space, P1 (X1,yı) and P2 (X2,yz), demonstrate why the distance…

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Q: find the distance d between the points P1 and P2. P1 = ( - 1, 0); P2 = (2, 4)

A: P1-1, 0  &  P22, 4

Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Use the distance formula to find the distance between the points (−1, −2) and (−2, −9).

A: Note that, the distance formula is

Q: Which of the following would be the positive x-coordinate where the line y=x+3 intersects the circle…

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Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

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Q: find the distance d between the points P1 and P2, P1 = (a, b); P2 = (0, 0)

A: we have to find the distance d between the points P1 and P2 where P1=a,b and P2=0,0

Q: 2. Find the distance between and

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Q: -In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

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Q: 5. Determine the distance between points A and B. Round to the nearest hundredth If necessary. |B…

A: Answer is following .

Q: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: Find all values of y such that the distance between (4, y) and (-2, 6) is 10 units

A: Given that the distance between (4, y) and (-2, 6) is 10 units.

Q: find the distance d between the points P1 and P2.P1 = (3, - 4); P2 = (5, 4)

A: Find out the distance d between the points P1 and P2. where P1=(3,-4)P2=(5,4) There is a formula for…

Q: find the distance d between the points P1 and P2.

A: We know, By distance formula, distance d between two points (a,b) and (c,k) is given by:…

Q: What is the distance between the points? -+-2 K

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Q: Find all points on the y-axis that are a distance 13 from P(12, 6).

A: To find: All the points on y-axis that are a distance 13 from P12,6. Concept used: The x-coordinates…

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 3) is the midpoint of…

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Q: 8. Which of the following points is the greatest distance from the y-axis? (A) (1, 10) (D) (4, 3)…

A: Given,            Greatest distance from the y-axisWe know that,              For the greatest…

Q: Find the distance between the points P = 1 - 1, 32 andQ = 14, - 22. Find the midpoint of the line…

A: Given, P=-1, 3Q=4, -2

Q: Find the midpoint of the segment GH given: G(7, -5) and H(9, -1).

A: Given data: The first point given is G(x1, y1)=(7, -5). The second point given is H(x2, y2)=(9, -1).…

Q: 5. What is the distance between points N and M? y K L (0,3,-3) M ++ P (0,0,-3) Q (0,0,0)

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Q: find the distance d between the points P1 and P2, P1 = (a, a); P2 = (0, 0)

A: Since, we know that the distance between two points A and B havingcoordinates (x1,y1) and (x2,y2) is…

Q: Use the distance formula to find the distance between the two points: (7,3) and (15,3)

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Q: Find the distance between the two given points. S (-1, 6) and T (-1, 14)

A: We know that distance between two point (x1,y1) and (x2,y2) is  (x2-x1)2+(y2-y1)2 Therefore distance…

Q: Find the distance d between the following pair of points. (3, 8), (6, 4)

A: Here we find distance d between the pair of points 3,8 and6,4

Q: 1. Which of the following would find the distance between point X(a.b) and point Y(c,d)? a. V(a +…

A: The point on the cartesian coordinate system will be of the form x,y. The cartesian coordinate…

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

A: We have to find the distance between the point P and the line L.

Q: Find the following for each pair of points:(a) The distance between the points(b) The midpoint of…

A: The given points are (4,-4) and (4,8) a) By using distance formula, D=(x2-x1)2+(y2-y1)2 Take (x1,…

Q: 2. Find the distance between the parallel lines: L: 2x- 5 y + 3 = 0 ; (Hint: It suffices to compute…

A: Consider the given equations of the lines, L1: 2x-5y+3=0 and L2: 2x-5y+7=0 The formula of the…

Q: 2- find an equation for the line through P and perpendicular to L and find the distance from P to L…

A: Given:⇒P=(4,6)⇒L:4x+3y=12 The relationship between the slopes of two perpendicular lines is:…

Q: 2.) For the points P(-4,3) and Q(2,-5), find the distance d(P,Q) and the coordinates of the Midpoint…

A: Given, P-4, 3Q2,-5

Q: 1. Refer to figure below. Express the distances between the following points. a) Point A to point B:…

A: Given,

Q: Calculate the distance between the points H= (1, - 1) and J= (9, - 8) in the coordinate plane. Round…

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Q: 7. Find the points of intersection of the following curves and draw the figure. x? – 3y = 0; x² + 2…

A: We have to solve these two equations to find intersection points of these two curves.

Q: The distance between the points (3, 8) and (x, 8x + 3) i

A: Solve for the distance between two points

Q: Find the distance between the following two points: (-1, -2) and (-1, 3) O 8 6 O 7 O 5

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Q: For the point P(3,- 4) and Q(8,- 1), find the distance d(P,Q) and the coordinates of the midpoint M…

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Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 7) is the midpoint of…

A: mid point formula  x =(x1 +x2)/2 y =(y1 +y2)/2

Q: 1. Any point on the perpendicular bisector is from the endpoints (A and B) of the line segment.

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Q: d. (1,1/2), (1/2,-2) e. (2, -4), (0,7) f. (-2.5, -3.5), (6.5, -5.5)

A: We can find the distance using the distance formula as below.

Q: (b) Use the cross product to derive the distance formula between the point Q and the line l PQ × PŘ…

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