Answer:
p = -6
Step-by-step explanation:
1) Distribute 3 through the parenthesis {3p + 12 = p}
2) Subtract 12 from each side {3p = p - 12}
3) Subtract p from each side {2p = -12}
4) Divide each side by 2 {p = -6}
Answer:
Average rate of change 
Step-by-step explanation:
Given interval are from 
Also,
Average rate of change![=\frac{f(b)-f(a)}{b-a}\ for\ given\ interval\ [a,b]](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%20for%5C%20given%5C%20interval%5C%20%5Ba%2Cb%5D)
Here given intervals are 
Plugging these value in formula, we get.
Average rate of change
Answer:
Radius = 8 mm
Slant Height = 14 mm
Step-by-step explanation:
Base of a cone is a circle.
Area of circle is given as 
Where
is the radius.
Given that

Hence, radius is 8 mm.
Formula for Lateral Surface Area of a cone:

Where
is the radius and
is the slant height of cone
Given that 

Hence, slant height is 14 mm
"a is 4 more than b" ⇒ a = b +4
"a is 1 lesss than b" ⇒ a = b - 1
The first pair of equations is the appropriate choice.