1) The height of the cylinder is equal to the diameter of the sphere.
3) The radius of the sphere is half the height of the cylinder.
5) The volume of the sphere is two-thirds the volume of the cylinder.
Hope this helped! :)
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 3, - 6), thus
y = a(x + 3)² - 6
To find a substitute (0, 0) into the equation
0 = 9a - 6 ⇒ a =
= 
y =
(x + 3)² - 6 ← in vertex form
Expand (x + 3)² and distribute by 
y =
(x² + 6x + 9) - 6
=
x² + 4x + 6 - 6
=
x² + 4x ← in standard form
Any 3 of ...
triangle, square, rectangle, trapezoid, parallelogram, pentagon, hexagon.
Answer:
B. ½
Step-by-step explanation:
9^x -1 = 2
9^x = 2+1
9^x = 3
9^x = √9
9^x = 9^½
x=½
Answer:
The fifth term is -4
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is

<em>where,</em>
<em>an is the nth term,</em>
<em>a1 is the first term,</em>
<em>n is the term number and</em>
<em>d is the common difference</em>
<u>Find the 5th term.</u>
an = a1 + ( n-1 ) d
a5 = 20 + ( 5-1 ) -6
a5 = 20+ ( -24 )
a5 = -4