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3 years ago

Simplify 6y(2x +9) – 3(x — 4xy)

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Answer: 3 • (8yx + 18y - x)

Step-by-step-explain : STEP

STEP

Pulling out like terms

2.1 Pull out like factors :

x - 4yx = -x • (4y - 1)

Equation at the end of step

(6y • (2x + 9)) - -3x • (4y - 1)

STEP

Equation at the end of step 3

6y • (2x + 9) - -3x • (4y - 1)

STEP

Pulling out like terms

5.1 Pull out like factors :

24yx + 54y - 3x = 3 • (8yx + 18y - x)

Final result :

3 • (8yx + 18y - x)

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If y is proportional to x and y = -15 when x= -20, what is the value of x when y = 12

ladessa [460]

I hope this helps you

y= -15 x= -20

y=12 x=?

?.-15=12.-20

?=12.20/15

?=16

x=16

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4 years ago

On Friday, Calvin ate a dinner of one serving of turkey, one cup of brown rice, a cup of milk, a large carrot, and a large banan

Black_prince [1.1K]

Answer:

20.5g in protein

427.55mg in sodium

Step-by-step explanation:

Add the amount or proteins he ate first for all the food he ate, and then the sodium for the food and there is your answer.

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3 years ago

Problemas de razonamiento división de números decimales. Ayer Susana se fue de viaje a visitar a unos familiares. Recorrió 135,7

schepotkina [342]

Usando las relaciones entre velocidad, distancia y tiempo, se encuentra que ella condujo a una velocidad media de 90,5 km/h.

--------------------------

La <u>velocidad </u><u>es la distancia dividida por el tiempo</u>, por lo que:

$v = \frac{d}{t}$

Total de 135,75 km, o sea, $d = 135,75$
Llego en 1,5 horas, o sea, $t = 1,5$

La velocidad es:

$v = \frac{d}{t} = \frac{135,75}{1,5}$

División de decimales, o sea, seguimos multiplicando los números por 10 hasta que ninguno sea decimal:

$v = \frac{135,75}{1,5} = \frac{1357,5}{15} = \frac{13575}{150} = 90,5$

Ella condujo a una velocidad media de 90,5 km/h.

Un problema similar es dado en brainly.com/question/24558377

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2 years ago

-12x - 12y = 4 3x + 3y = 0

Svetradugi [14.3K]

Answer:

no Solution

Step-by-step explanation:

-12x-12y=4\\ 3x+3y=0

12x-12y=4

add 12y to both sides

12x-12y+12y=4+12y

divid both sides by -12

\frac{-12x}{-12}=\frac{4}{-12}+\frac{12y}{-12}

simplfy

x=-\frac{1+3y}{3}

\mathrm{Substitute\:}x=-\frac{1+3y}{3}

\begin{bmatrix}3\left(-\frac{1+3y}{3}\right)+3y=0\end{bmatrix}

\begin{bmatrix}-1=0\end{bmatrix}

7 0

3 years ago

What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)

Alekssandra [29.7K]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$3x + y = 6$

$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

$( - 3) \times (m) = - 1$

m is the slope of the line which we want.

$- 3m = - 1$

Negatives simplifies

$3m = 1$

Divide sides by 3

$\frac{3m}{3} = \frac{1}{3} \\$

$m = \frac{1}{3} \\$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

We have following equation to find the point-slope form of the linear functions :

$y - y(0) = m(x - x(0))$

x(0) and y(0) are the coordinates of the point which the line passed through.

$y - 8 = \frac{1}{3} (x - 0) \\$

$y - 8 = \frac{1}{3} x \\$

Add sides 8

$y = \frac{1}{3} x + 8 \\$

Done....

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6 0

3 years ago