Actually Welcome to the Concept of the Volumes.
==> Volume is Basically defined as the amount of a substance any shape or an object can hold.
==> Volume just can be tendency of any object to hold maximum amount of Substance inside it.
We know that
When two chords intersect each other inside a circle, the products of their segments are equal (Intersecting Chord Theorem)
so
AE*EB=DE*EF-----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?
EB=DE*EF/AE
EB=12*8/4-----> EB=24 in
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
and then grouping like terms next to each other:
(this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
The next one, after distributing the negative into the parenthesis:
and then grouping like terms next to each other (remember to move their signs with them!):
which simplifies to
Now for the last one:
and
which simplifies to
Answer:
f(x) = x² - 9
Step-by-step explanation:
Given x = a is a zero of the polynomial f(x) then (x - a) is a factor
Given zeros are x = 3 and x = - 3, then corresponding factors are
(x - 3) and (x - (- 3) ), that is
(x - 3) and (x + 3)
The function is then the product of the factors, that is
f(x) = (x - 3)(x + 3) ← expand using FOIL
f(x) = x² - 9