On the blue print, the room will measure 3.5 inches by 4 inches
Undo what has been done to the variable. That means to do the opposite done to the variable.
5x-4=-19
+4=+4
5x=-15
5 is being multiplied to the variable so you divide it from both sides.
x=-3
Let
= -9,
= -12 and so on.
-15 = -9 + (-6)
-15 = -9 + 2(-3)
Let -3 be the common difference, or <em>d</em>.
= -9 + n(-3)
= -9 - 3n
Answer:
m = 12
Step-by-step explanation:
For f(x) = 2x² you want to find the slope m using ...
m = (f(x+h) -f(x))/h
at x=3.
Filling in the function definition and its arguments, we have ...
m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h
The value of this as h goes to zero is ...
m = 4x
At x=3, the slope is ...
m = 4·3 = 12
_____
The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.
ANSWER

EXPLANATION
The volume of the cone is

The height of the is 6 inches.
We put the values into the volume of cone to get.


Divide through by 2π.

The expression on the LHS is a perfect square trinomial.

