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3 years ago

Simplify the expression 2x+4(3y+x).

Mathematics

2 answers:

Degger [83]3 years ago

8 0

Answer:

6x + 12y

Step-by-step explanation:

2x + 4(3y + x)

Use distributive property.

4 (3y + x)

4 x 3y = 12y

4 * x = 4x

2x + 12y + 4x

Combine like terms.

2x + 4x = 6x

6x + 12y

inysia [295]3 years ago

3 0

Answer:

The answer in simplified form would be 6x+12y.

Step-by-step explanation:

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3 years ago

Geometry problem in the picture: find the missing side and round to the nearest tenth

Vlad1618 [11]

Answer:

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Step-by-step explanation:

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4 0

2 years ago

"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3

guajiro [1.7K]

Answer:

For parallel:

gradient is 1/5

$y = mx + c$

consider (5, -2):

$- 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3$

${ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}$

For perpendicular:

gradient, m1:

$m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5$

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7 0

3 years ago

Read 2 more answers

if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr

Scrat [10]

Consecutive numbers differ by one. So, if $x$ is the first, the three numbers are

$x,\ x+1,\ x+2$

The sum of the first and third integer is

$x+(x+2)=2x+2$

5 0

4 years ago

Find the term indecent of x in the expansion of (x^2-1/x)^6

Mars2501 [29]

By the binomial theorem,

$\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}$

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0 ===> 3k = 12 ===> k = 4

which corresponds to the constant coefficient

$\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}$

3 0

3 years ago