$\bf \lim\limits_{x\to 9}~\cfrac{x^2-81}{x-9}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-9^2}}{x-9}\implies \cfrac{\underline{(x-9)}(x+9)}{\underline{(x-9)}}
\\\\\\
\lim\limits_{x\to 9}~x+9\implies (9)+9\implies 18$

3 0

3 years ago

Point slope equations

Sholpan [36]

Answer:

The point slope equation is: y - y1 = m (x - x1)

m = slope

Step-by-step explanation:

To use this equation, you need to know:

- one point on the line

- the slope of the line

First:

(x1,y1) = a known point on the line

m = the slope

(x,y) = any other point on the line

Now:

we plug the numbers into the equation to get y - y1 = m (x - x1)

Then:

you solve the equation

4 0

4 years ago

12n^2+48n = -n^3-64 factoring polynomial equations

xxTIMURxx [149]

Answer:

Step-by-step explanation:

12n2+48n=−n3−64

Step 1: Subtract -n^3-64 from both sides.

12n2+48n−(−n3−64)=−n3−64−(−n3−64)

n3+12n2+48n+64=0

Step 2: Factor left side of equation.

(n+4)(n+4)(n+4)=0

Step 3: Set factors equal to 0.

n+4=0

n=−4

4 0

3 years ago