The length of the rectangle is 6m more than its breadth and perimeter of rectangle is 128m. Find the dimensions of the rectangle.

Step-by-step explanation:

So, the breadth is x and the length is 6+x

so since there are four sides of a recatangle the equation will be:

6+x+6+x+x+x=128

12+4x=128

4x=128-12

4x=116

Divide both sides by 4

x= 29

The length will be= 29+6= 35m

so therefore

length= 35m

breadth=29m

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.