if you know the roots then you can find their equation-
x^2 - (sum of roots) x + product of roots = 0
2x + 3 > 7
2x > 7 - 3
2x > 4
Dividing by 2 on both sides
since 2 is a positive number so dividing by 2 on both sides will not change the inequality sign.
x > 2
hence, numbers greater than 2 are the solution of this eqn
Probability = No. Of favorable ways / Total ways
Total ways = no. Of favorable ways + no. Of non-favorable ways
even no. + even no. = even no.
Mean = sum of all values / no. Of values
I am also considering mean Anita's Age in Calculating Mean.
Let the age of Anita and others is a, b, c, d,e,f respectively !
Now Mean of their age =(a + b + c + d + e + f) / 6 = 6 years
from here ,, … Read more
Distance = Average speed x Total time
360 = 60 x t
t = 6 Hrs
2 Line equations will have a unique solution if and only if they
intersect each other at a particular point ( x, y ). If Lines are
parallel, then they'll never intersect and hence we can not find any solution.
if we consider two parallel Lines of equations,say-
2x + 3y = 7 , 2x + … Read more
Who knows what will happen in future ? It is just start of 20th century. Some people consider this century as no-war century while some don't.
we can not stop wars completely. Those who live in peaceful regions usually don't believe that there can be a big war in present time in any part of … Read more
i found a logical solution..
if we factorize 27 as product of 3 positive integers we get,
27 = 3 x 3 x 3 or = 1 x 3 x 9 or = 1 x 1 x 27 that is it !
calculating a+b+c , we get 9 , 13 , … Read more
if the Light source remains still, then ratio of obj. Height to shadow length must be always same
let the unknown shadow length is 'L '
6.6/ 19.8 = 14.7 … Read more
y^2-x^2 = 18
if you look at the graph of this hyperbola
you just need to get the x coordinates where the line y= 11 ( hight )
is intersecting this hyperbolic curve.
To get the … Read more
i hope you understood it !
perimeter of triangle = sum of length of all 3 sides = a+b+c
y-axis means x=0 (always)
x-axis means y=0 (always)
when line intersect y axis, then x = 0
5x + 3y =15
0 + 3y =15 ( x = 0)
y = 5
hence point (x,y) = (0,5) b is correct
if you don't remember the formula
you can also solve like this-
let eqn is y= mx+c (which passes through (4,-1) and (-2,3) )
First (4,-1) should satisfy this equation,
-1 = 4m+c … Read more
Obviously 6/9 (2/3) is bigger than 4/9.