By expanding D it is clear that it is the factored form of 2/3x + 4

as 2/3x + 4 = 2/3x + 4*3/3

= 2/3x + (2*3)*(2/3). ( rearranging terms)

=2/3( x+ 2*3). ( taking 2*3 common)

=2/3( x + 6)

which is option D

hope it helped ^_^

5 0

3 years ago

Lets see who is smart lol

Simora [160]

9514 1404 393

Answer:

$\square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Cross-multiplying gives ...

2(y -5) = x -2

2y -10 = x -2 . . . eliminate parentheses

2y = x +8 . . . . . . . add 10; next, divide by 2

$\boxed{y=\dfrac{1}{2}x+4}$

These equations match choices B and D.

6 0

3 years ago

Si el área de una figura rectangular esta dada por A-bxh,¿cual es la siguiente expresiones representa el área de la puerta

stealth61 [152]

Respuesta:

3x² + 5x - 2

Explicación paso a paso:

Dado que :

Área del rectángulo, A = largo * ancho

Dimensión = 3x - 1; x + 2

Área = (3x - 1) * (x + 2)

Área = 3x² + 6x - x - 2

Área = 3x² + 5x - 2

8 0

3 years ago

What is the product of seven plus two and eight minus two

mr_godi [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

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