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.

4 0

3 years ago

If -15 is added to a number, the sum will be 8 times the number. find the number

Pachacha [2.7K]

Equation: 8x= -15+x
answer: ⤵

$x = - \frac{15}{7}$

4 0

3 years ago

Please help! It's due soon.

Sedbober [7]

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f( $\frac{1}{4}\sqrt{x}$ ) = $16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x$

g(f(x)) = g $(16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x$

6 0

3 years ago

What is maximum value of y=cosx​

What is maximum value of y=cosx