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3 years ago

(n^2 + 10n +18)÷(n + 5) how do u solve this??

Mathematics

2 answers:

rewona [7]3 years ago

5 0

Answer:

n = sqrt(7) - 5 or n = -5 - sqrt(7)

Step-by-step explanation:

Solve for n:

(n^2 + 10 n + 18)/(n + 5) = 0

Multiply both sides by n + 5:

n^2 + 10 n + 18 = 0

Subtract 18 from both sides:

n^2 + 10 n = -18

Add 25 to both sides:

n^2 + 10 n + 25 = 7

Write the left hand side as a square:

(n + 5)^2 = 7

Take the square root of both sides:

n + 5 = sqrt(7) or n + 5 = -sqrt(7)

Subtract 5 from both sides:

n = sqrt(7) - 5 or n + 5 = -sqrt(7)

Subtract 5 from both sides:

Answer: n = sqrt(7) - 5 or n = -5 - sqrt(7)

Dominik [7]3 years ago

3 0

Answer: n+5 - 7/n+5

Step-by-step explanation: I saw my teachers answer key

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3 years ago

Read 2 more answers

Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

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3 years ago

Which expression is equivalent to the expression (x^2-y^2)^2

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Step-by-step explanation:

$(x^2-y^2)^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(x^2)^2-2(x^2)(y^2)+(y^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=x^4-2x^2y^2+y^2\\-----------------------------$

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3 years ago

(n^2 + 10n +18)÷(n + 5) how do u solve this?? ​

(n^2 + 10n +18)÷(n + 5) how do u solve this??