Given the area, to rewrite the function using distributive property we get:
6(2x+5y)
using distributive property we open the parenthesis, this will give us:
6×2x+6×5y
simplifying the above we get
=12x+30y
Answer: 12x+30y
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Step-by-step explanation:
v(-2)= 12-2x(-2)-5
=12+4-5
=16-5
=11
v(0)= 12-2x0-5
= 12-0-5
=12-5
=7
v(5)= 12-2x5-5
= 12-10-5
=12-5
=7
<em><u>Hope </u></em><em><u>it </u></em><em><u>helps </u></em>
Answer:
√
28
Rewrite
28
as
2
2
⋅
7
.
Tap for more steps...
√
2
2
⋅
7
Pull terms out from under the radical.
2
√
7
The result can be shown in both exact and decimal forms.
Exact Form:
2
√
7
Decimal Form:
5.29150262
…
Step-by-step explanation:
Using the Pythagorean theorem:
c = sqrt(8^2 + 7^2)
c = sqrt(64 + 49)
c = sqrt(113)
c = 10.6