Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Number of vertices of hexagon is 6
The key features of
polynomials are the vertex, axis of symmetry, x and y intercepts.
<span>1.
</span>The degree will help you find the end behavior.
<span>2. </span>The vertex shows you where it changes concavity.
<span>3. </span>X and y intercepts give you a couple of points
of reference.
<span>4. </span>Axis of symmetry is only applicable to even
degree polynomials.
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

These relations between the solutions give us a brief idea of what the solutions should be like.
Answer:
yes you may use the answer will be 100% correct