Find the 3

Find the distance and mid-point between A(1,2) and B(5,5).

Correct result:

d =  5
x =  3
y =  3.5

Solution:

$x_{0}=1 \ \\ y_{0}=2 \ \\ \ \\ x_{1}=5 \ \\ y_{1}=5 \ \\ \ \\ d=\sqrt{ (x_{1}-x_{0})^2+(y_{1}-y_{0})^2 }=\sqrt{ (5-1)^2+(5-2)^2 }=5$

$x=(x_{0}+x_{1})/2=(1+5)/2=3$

$y=(y_{0}+y_{1})/2=(2+5)/2=\dfrac{ 7 }{ 2 }=3.5$

Try another example

Showing 0 comments:

Next similar math problems:

• MO - triangles
  On the AB and AC sides of the triangle ABC lies successive points E and F, on segment EF lie point D. The EF and BC lines are parallel and is true this ratio FD:DE = AE:EB = 2:1. The area of ABC triangle is 27 hectares and line segments EF, AD, and DB seg
• Rhombus MATH
  Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°
• Distance
  Calculate distance between two points X[18; 19] and W[20; 3].
• Conical area
  A right angled triangle has sides a=12 and b=19 in right angle. The hypotenuse is c. If the triangle rotates on the c side as axis, find the volume and surface area of conical area created by this rotation.
• Right isosceles triangle
  Right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse dividing it into 2 equal segments. The length of one segment is 5 cm. What is the area of the triangle?
• Distance
  Wha is the distance between the origin and the point (18; 22)?
• Center of line segment
  Calculate the distance of the point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t ; t is .
• Distance problem
  A=(x, x) B=(1,4) Distance AB=√5, find x;
• On line
  On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
• Lighthouse
  Marcel (point J) lies in the grass and sees the top of the tent (point T) and behind it the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the sea
• Parametric form
  Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. ..
• Coordinates
  Determine the coordinates of the vertices and the content of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0 and the diagonal on the line 3x + 2y + 3 = 0
• Forces
  In point O acts three orthogonal forces: F₁ = 20 N, F₂ = 7 N and F₃ = 19 N. Determine the resultant of F and the angles between F and forces F₁, F₂ and F₃.
• Triangle KLB
  It is given equilateral triangle ABC. From point L which is the midpoint of the side BC of the triangle it is drwn perpendicular to the side AB. Intersection of perpendicular and the side AB is point K. How many % of the area of the triangle ABC is area o
• Equilateral triangle ABC
  In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near the point C, and the point M lies in the one-third of the side of the AC side closer to the point A. Find what part of the ABC triangle cont
• Three points
  Three points A (-3;-5) B (9;-10) and C (2;k) . AB=AC What is value of k?
• Sides of right angled triangle
  One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle.