Answer:
12x^2 + 4x
Step-by-step explanation:
The area of the blue is
A = l*w
A = 3x*4x = 12x^2
The area of the pink is
A = l*w
A = 1*4x = 4x
Add them together
A total = 12x^2 + 4x
Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
The word you are looking for is Coordinate! Have a good day!
Answer: the bottom rectangle is 21 square units
The top triangles are each 6 square units
Step-by-step explanation:
Do 6 times 3.5 to find area of rectangle
Then do 3 times 4 divided by 2 for each of the top triangles
Answer:
(4^-3)(x^-3) y^(18)
or
y^18/ (64 x^3)
Step-by-step explanation:
(4xy^-6)^-3
Distribute the exponent to all terms in the parentheses
(4^-3)(x^-3) (y^-6)^-3
a^ b^c = a^ (b*c)
(4^-3)(x^-3) y^(-6*-3)
(4^-3)(x^-3) y^(18)
If we do not want negative exponents
a ^ -b = 1/ a^b
y^18/( 4^3 x^3)
y^18/ (64 x^3)
