3 years ago

Find the rate of change of the area of a square with respect

1 answer:

4 0

Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.

You might be interested in

3. Which characteristics is correct for the function f(x) = 4x5 + 8x + 2?

MrRissso [65]

Answer:

Step-by-step explanation:

3 0

3 years ago

Haley can bake 6 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x a

m_a_m_a [10]

Answer:

the answer is y=6x

(6 is a constant)

Explanation:

3 0

2 years ago

jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if o

Ksivusya [100]

Answer:

352 ft (squared) , he will need 12 paint cans

Step-by-step explanation:

Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12

4 0

2 years ago

What is the value of x? 27(x+4)=−6

jonny [76]

First you need to use the distributive property: 27(x+4)=-6
27x+108=-6
then you need to subtract 108 from -6 to
get x alone. 27x= 102

Lastly divide 102 by 27 to finally get x alone: x=3.777

the answer would be: x= 3.77 or 3.8

5 0

3 years ago

Seven squared equal seven times

bulgar [2K]

7 squared equals 7 times 7

8 0

3 years ago