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2 years ago

Como simplifica essa expressão: 2(x+5)+3(5x+6):

Mathematics

1 answer:

leva [86]2 years ago

7 0

Answer:

17 x + 28

Step-by-step explanation:

Simplify the following:

2 (x + 5) + 3 (5 x + 6)

Hint: | Distribute 2 over x + 5.

2 (x + 5) = 2 x + 10:

10 + 2 x + 3 (5 x + 6)

Hint: | Distribute 3 over 5 x + 6.

3 (5 x + 6) = 15 x + 18:

10 + 2 x + 18 + 15 x

Hint: | Group like terms in 10 + 2 x + 18 + 15 x.

Grouping like terms, 10 + 2 x + 18 + 15 x = (2 x + 15 x) + (10 + 18):

(2 x + 15 x) + (10 + 18)

Hint: | Add like terms in 2 x + 15 x.

2 x + 15 x = 17 x:

17 x + (10 + 18)

Hint: | Evaluate 10 + 18 using long addition.

| 1 | 8

+ | 1 | 0

| 2 | 8:

Answer: 17 x + 28

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2 years ago

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Which is the equation of an asymptote of the hyperbola whose equation is

goldfiish [28.3K]

Answer:

C. y = 3x - 5

Step-by-step explanation:

Given the general equation of a hyperbola:

$\frac{(x-h)^{2} }{a^{2}}-\frac{(y-k)^{2} }{b^{2}}=1$

The equation for the asymptote line is given by:

$y=k+\frac{b}{a} (x-h)$

In your problem, we have

$\frac{(x-2)^{2} }{4}-\frac{(y-1)^{2} }{36}=1$

we have:

h=2,

k=1

a²=4 --> a=2, im just taking the squareroot

b²=36 --> b=6

put it into your equation

$y=k+\frac{b}{a} (x-h)$

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y = 1 + 3(x-2)

y = 1 + 3x - 6

y = 3x - 5

4 0

3 years ago

Read 2 more answers

Como simplifica essa expressão: 2*(x+5)+3*(5x+6):​

Como simplifica essa expressão: 2(x+5)+3(5x+6):