We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
Answer:
the answer should be 7a^3-4a^2-2a-87
Answer:
x = 3, x = 4
Step-by-step explanation:
To find the zeros of the function, equate f(x) to zero, that is
(x - 3)(2x - 8) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3 ← smaller solution
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4 ← larger solution
Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
