I notice than line A has a slope of 2/3
and that B is parallel to that line. How do I find the slope of line B?
A)
Find the reciprocal of
2/3
B) It must be the same as A, so it is 2/3
C) It must be as
-3/2
because it is parallel
D) Not possible to find.
PLEASE ANSWER!

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Ответ:

paulusl19

21.08.2022

Mathematics

the rational expression $\frac{x^2 - 10x +21}{ x^2-6x -7}$ to its lowest term is $\frac{x-3}{ x+1}$ .

Step-by-step explanation:

Here we need to reduce the rational expression x^2 - 10x + 21/ x^2 -6x -7 to its lowest term . Let's find out:

$\frac{x^2 - 10x +21}{ x^2-6x -7}$

⇒ $\frac{x^2 - 7x-3x +21}{ x^2-7x+x -7}$

⇒ $\frac{x(x - 7)-3x +7(3)}{ x(x^-7)+x -7}$

⇒ $\frac{x(x - 7)-3(x -7)}{ x(x^-7)+1(x -7)}$

⇒ $\frac{(x-3)(x - 7)}{ (x+1)(x^-7)}$

⇒ $\frac{(x-3}{ (x+1)}$

⇒ $\frac{x-3}{ x+1}$

Therefore , the rational expression $\frac{x^2 - 10x +21}{ x^2-6x -7}$ to its lowest term is $\frac{x-3}{ x+1}$ .

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I notice than line A has a slope of 2/3 and that B is parallel to that line. How do I find the slope of line B? A) Find the reciprocal of 2/3 B) It must be the same as A, so it is 2/3 C) It must be as -3/2 because it is parallel D) Not possible to find. PLEASE ANSWER!