# 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 <0,1>.

Result

d =  4.472

#### Solution:

$t=(0+1)/2=\dfrac{ 1 }{ 2 }=0.5 \ \\ \ \\ x_{0}=2-6 \cdot \ t=2-6 \cdot \ 0.5=-1 \ \\ y_{0}=1-4 \cdot \ t=1-4 \cdot \ 0.5=-1 \ \\ \ \\ x_{1}=1 \ \\ y_{1}=3 \ \\ d=\sqrt{ (x_{1}-x_{0})^2 + (y_{1}-y_{0})^2 }=\sqrt{ (1-(-1))^2 + (3-(-1))^2 } \doteq 2 \ \sqrt{ 5 } \doteq 4.4721 \doteq 4.472$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Looking for help with calculating arithmetic mean?
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Looking for a statistical calculator?
Do you want to convert length units?
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Equation of circle
find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
2. Segment
Calculate the length of the segment AB, if the coordinates of the end vertices are A[10, -4] and B[5, 5].
3. A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
4. Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6).
5. 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. ..
6. Cableway
Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station.
7. ABS CN
Calculate the absolute value of complex number -15-29i.
8. Euclid2
In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
9. Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
10. Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
11. Variance and average
Of the 40 values were calculated average mx = 7.5 and variance sx = 2.25. After the control was found to lack the two items of the values of x41 = 3.8 and x42=7. Correct the above characteristics (mx and sx).
12. Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6].
13. Circle - AG
Find the coordinates of circle and its diameter if its equation is: ?
14. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
15. Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
16. 75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54
17. Life expectancy
The life expectancy of batteries has a normal distribution with a mean of 350 minutes and standard deviation of 10 minutes. What the range in minutes 68% of the batteries will last? What is the range in minutes approximately 99.7% of batteries will last?