The formula for the distance between two points is:

Q: Find all points having an x-coordinate of 3 whose distance from the point (-2,1)is 13 (a) By using…

A: (a) By using the Pythagorean Theorem (see graph below)   Let (-2,1) denote the coordinates of the…

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

A:

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: Find the distance between each pair of points.

A: The given line is:

Q: 4) B. 15 9. 12

A: Given data: The length of the AB= 9 units. The length of AC=12 units. The length of BC=15 units. We…

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

A:

Q: The length of curve C highlighted in the drawing corresponds to:

A: This is a problem of multi-variable Calculus, where one has to find the arc length after the…

Q: on touches, but does not cross, the t-axis. (

A: The given equation is

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

A: Note that, the distance formula is

Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: Find the distance between the following two points: (3, 5) and (4, -4) O 102 O V82 O V92

A:

Q: Use the side-splitter theorem to solve for x in the triangle below.

A: Given,

Q: Find the shortest distance between the following lines.

A: Given, the lines                l1: x-9-14=y-9-1=z3l2: x-48=y+24; z=1

Q: Find the coordinates of the points that are 13 units away from the origin and have an x-coordinate…

A: Solution: Find the coordinates of the points that are 13 units away from the origin and have an…

Q: Use the distance formula to find those points whose x coordinates are either -4 or 4 and whose…

A: Distance formula for the two points (x1,y1) and x2,y2is(x2-x1)2+(y2-y1)2let (x1,y1)=0,0    and…

Q: Find the distance from the Point P ( 31) and

A: The equation of the line is: y = x + 4 That is, x - y + 4 = 0 The point is (3, 1). We have to find…

Q: The distance formula is required to find the length of a horizontal segment. O True O False

A: we use distance formula to find the length of a line . Distance formula is based on Pythagorean…

Q: For numbers 8-10, consider parallelogram CARE. A E R

A:

Q: Find the distance between each pair of points. Round to the nearest tenth, if necessary.

A:

Q: Find the Midpoint of the listed segment using the coordinate plane.

A: The coordinate of E=(-1, 3) and H=(-2 , 0) Here, X1= -1, Y1= 3, X2=-2 , Y2=0

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: The formula for the distance between two points is: O True O False

A: Please see the explanation below

Q: Find the distance d from the point to the line using the following formulas. (1, 6); y = x – 4 (a)…

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Q: Find the value of x for which line a is parallel to line b.

A: It is given that,  line a and b are parallel lines,

Q: Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,4) and…

A:

Q: Find the distance between the following two points: (0, -2) and (-5, -1) O 5 O 21 O 26 O 11

A: Distance formula: Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 −…

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: Find the 24xy= y"+ from the the length of curue point ( ,2) to

A:

Q: Which of the points (x, y) does NOT lie on the unit circle?

A: We have given four points and we have to check among these four points which points are not lie on…

Q: Find the distance between the given pair of points: 1 and 7

A:

Q: If the distance between the points R(a+b, b+c) and S(a +c, a +b) is (a – b), show that (a- c)(b-…

A: Given:- Distance between the points R(a + b, b+c)and S(a + c, a + b) is (a−b) To prove:- (a−c)(b −…

Q: Find the distance between the following pairs of points. (-8,0) ,(0,6)

A: The given points are : (-8,0) ,(0,6)

Q: Find the distance between the following points. (-1,4) and (2,7)

A:

Q: Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the…

A: First of all, consider function y given.Plot the graph for the function y.The triangle can be formed…

Q: Show that the point is on the unit circle. V7 4' 4

A: The unit circle is a circle with its center at the origin of the coordinate plane and with a radius…

Q: Find the distance between the points using the following methods. (-1, 3), (4, –-9 (a) the Distance…

A:

Q: Find the distance between each pair of points 4)

A:

Q: Find the distance from point A to point B.

A: The schematic diagram below represents the relative location of the points A, B, and C.

Q: The side length of this square is x. What is the ro of the circle?

A: The length of the side of a square is x units.

Q: Find a formula for the shortest distance from a point (a,b,c) to the y-axis.

A: We will find the formula as following.

Q: --2 4 X

A:

Q: Luna calculates d, and also the distance d, from the point E to the line through D and F and notices…

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

A:

Q: 18)

A:

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: distance between each pair of points

A: We have to find the distance between the points : (0,6) ,(6,-6)

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.