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2 years ago

Solve the equation. Write your answer as an integer or simplified fraction.

Mathematics

1 answer:

labwork [276]2 years ago

8 0

Explaination :

The given equation,

$\boxed{\sf{5n \: - 6(n - 2) \: = \: 19}} \: \bigstar$

Lets start solving it..!!

★ Multiplying -6 by (n -2),

$\implies \: \sf{5n \: - 6 \times (n - 2) \: = \: 19}$

$\implies \: \sf{5n \: - 6n + 12 \: = \: 19}$

★ Subtracting 5n from 6n,

$\implies \: \sf{ - n + 12 \: = \: 19}$

★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,

$\implies \: \sf{ - n \: = \: 19 - 12}$

★ On subtracting 12 from 19 we gets,

$\implies \: \sf{ - n \: = \: 7}$

★ Now,

$\implies \: \red{\bf{ n \: = \: - 7} }$

Therefore,

Value of n is -7

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the

kvasek [131]

Answer:

Point-Slope form: $y+1=-\frac{6}{15}(x+5)\\$

standard form: $2x+5y=-15$

Step-by-step explanation:

The standard form is given by: $Ax+By=C$

The point-slope form is given by: $y-y_1=m(x-x_1)$

Let's call $(-5,-1)$ as point $(x_1,y_1)$ , and

point $(10,-7)$ as point $(x_2,y_2)$

We also know that the slope $m$ is given by $m=\frac{y_2-y_1}{x_2-x_1}$

Let's find the slope:

$m=\frac{-7-(-1)}{10-(-5)}=-\frac{6}{15}$

1. So, point slope form can be written as:

$y-(-1)=-\frac{6}{15}(x-(-5))\\y+1=-\frac{6}{15}(x+5)\\$

2. Rearranging this equation and bringing all x's and y's to one side and the number to another side will give us the standard form. So:

$y+1=-\frac{6}{15}x-2\\y+\frac{6}{15}x=-2-1\\y+\frac{6}{15}x=-3$

But A, B, and C (standard form) needs to be integers, so to get rid of the denominator , we multiply the whole equation by 15. So we have:

$y+\frac{6}{15}x=-3\\15y+6x=-45$

We can factor out a 3, so it becomes:

$15y+6x=-45\\5y+2x=-15$

So standard form is $2x+5y=-15$

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4 years ago

If the quadratic equation 2 + 2 + 5 = 0 is

Flura [38]

The answers should be 10

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3 years ago

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Hope this helped :)

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3 years ago

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Will give brainliest

Vlada [557]

Answer:

lenght = 2x + 3

breadth = x - 1

perimeter = 40

Now,

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3 years ago

(9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots

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Answer:

3 roots

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3 years ago