9. If it takes Joel 30 seconds to install each foot of fencing, how many total minutes will it
take him to install the fence?

20

Step-by-step explanation:

Since we have given that

Dimensions of a triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

1) For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

No, it will not be able to make a right triangle.

2) Joel cut the longest piece of wood in order to make a right triangle.

So, from above we get that

So, the longest side must be 17 feet.

It takes him 30 seconds to install each foot of fencing,

The total perimeter of fencing will be

17 + 15 + 8 = 40 feet

So, for 1 foot he needs = 30 seconds

For 40 feet, he will need

40 × 30 = 1,200 seconds

1200/600 = 20 minutes

Hence, he needs 20 minutes to install all of the fences.

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.

8

step-by-step explanation: