SOLUTION: the distance between points M(3,5) and N(8,a) is 13.find the value of a.
Algebra.Com
Question 466593: the distance between points M(3,5) and N(8,a) is 13.find the value of a.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
M(3,5) and N(8,a) is 13
13= sqrt((3-8)^2+(5-a)^2)
13=sqrt(25+25-10a+a^2)
13=sqrt(50-10a+a^2)
square the equation
169 = a^2-10a+50
a^2-10a-119=0
Find the roots of the equation by quadratic formula
a= 1 b= -10 c= -119
b^2-4ac= 100 - 476
b^2-4ac= 576
= 24
x1=( 10 + 24 )/ 2
x1= 17
x2=( 10 -24 ) / 2
x2= -7
a=17 OR -7
RELATED QUESTIONS
find the distance between each pair of points.
Points L(-2,3),M(3,-2), and N(6,1) form a (answered by funmath)
The distance between the two points A(a,1,2) and B(5,a,3) is 3. Find the value of... (answered by tommyt3rd)
find the distance between points at (m +4, n) and (m, n-3)
a)3.5
b)5
c)1... (answered by RAY100)
The line y=3 intersects the graph of y=4x^2+x-1 at the points A and B. The distance... (answered by josgarithmetic)
Six points are put on a segment 23 cm long (including the end points of the segment).... (answered by greenestamps)
The distance d between two points is given. Find the value of b.
(13,-3), (b,2);... (answered by solver91311)
The distance between the points (1, y1) and (6, 10) is 13. What is a possible value of... (answered by rfer)
Find the distance between points (-3, 8) and (-5,... (answered by jim_thompson5910)
How do i find the value of n if the distance between the points at (7,5) and (-3, n) is... (answered by josmiceli)