Answer:
-2
Step-by-step explanation:
Given equation is x²+px+1=0
comparing the equation with ax²+bx+c=0
then a=1,b=p,c=1
let the roots one root of the equation be A then
by question, another root is A².
we know
A(ALPHA)+A²(beta)=-b/a
A+A²=-p/1
A+A²=-p......1
again
A*A²=c/a
A³=1/1
A³=1
A=1
Now,
substituting A=1 in equation 1
1+1²=-p
2=-p
Therefore p=-2.
Associative property works in addition and multiplication.
Associative property in Addition: (a + b)+ c = a + (b + c)
Associative property in Multiplication: (a x b) x c = a x (b x c)
Associative property in Subtraction: (a - b) - c is not equal to a - (b - c)
Associative property in Division: (a divided by b) divided by c is not equal to a divided by (b divided by c).
Thus, associative property is not true for all integers.
This is the concept of application of geometry; the distance that the ladder should be placed will be given by Pythagorean theorem.
thus;
c^2=a^2+b^2
where, c=hypotenuse, a and b are the legs
hence;
15^2+12^2+b^2
b^2=15^2-12^2
b^2=225-144
b^2=81
getting the square root of both sides;
b=sqrt81
b=9
therefore the ladder should be placed 9 feet from the wall for it to reach 12 feet up the building