HELP! I will give brainliest Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer than the other. To find the side lengths, he first writes the equation (x)(x+5)=66 and later simplifies it to (x-6(x+11)=0, where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply.

1

5

6

11

16

The shorter side 6th ft and the longer sides are 11ft

Step-by-step explanation:

The options are not given, but we could solve and arrive at an answer

say the shorter side is x

and the longer side is x+5

we know that the area of a rectangle is given as

x*(x+5)=66

open the bracket

x^2+5x=66

x^2+5x-66=0

Find two factors of  -66  whose sum equals the coefficient of the middle term, which is   5 .

the factors are 11 and -6

splitting the middle term using the two factors  11  and  -6

x2 +11x - 6x - 66=0

x(x+11)-6(x+11)=0

(x-6)=0

x=6

(x+11)=0

x=-11

The shorter side is 6 ft and the longer side is 11 ft

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.

idk

step-by-step explanation: