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3 years ago

11

Please help me i need help on this

1 answer:

charle [14.2K]3 years ago

8 0

(x+y)² finds the area of the outer square, squaring its side length

z² + 4(1/2 xy) finds the area of the outer square by adding...

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Dy/dx of ln(x/x^²+1)

exis [7]

$\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}$

5 0

3 years ago

Which type of triangle is formed by the points P(0, 6), Q(-3, 0 ), and R(3, 0)?

stiv31 [10]

It is an isosceles triangle

5 0

3 years ago

What expression is equivalent to 32

Alekssandra [29.7K]

Answer:

8x=32

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The four rectangles shown have different side lengths.

RUDIKE [14]

Answer is <span>D.
A and D

A = 2(6+2) = 16
D = 2(4+3) = 16
both have perimeters = 16</span>

8 0

3 years ago

What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3

Ber [7]

For this case we have the following system of equations:

$4x + 2y = 18\\x-y = 3$

To solve, we clear "x" from the second equation:

$x = 3 + y$

We substitute "x" in the first equation:

$4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18$

We clear the value of the variable "y":

$6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1$

We look for the value of the variable "x":

$x = 3 + y\\x = 3 + 1\\x = 4$

Thus, the solution of the system is given by:

$(x, y) :( 4,1)$

Answer:

$(x, y) :( 4,1)$

Option D

4 0

3 years ago