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sveta [45]
3 years ago
11

Please help me i need help on this

Mathematics
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
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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
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