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

3 0

2 years ago

Is 2/3 greater than 9/10??????? ANSWER NOW

jarptica [38.1K]

No it is not , it is less than 9/10.

7 0

3 years ago

Read 2 more answers

A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters

Maksim231197 [3]

<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

$x^2-7x-60=0$

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

$13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0$

Hence, the answer is:

$x^2-7x-60=0$

7 0

3 years ago

Read 2 more answers

Find an equivalent fraction for the decimal number. In your final answer, include all of your work.

nataly862011 [7]

66/100 or simplified = 33/50

4 0

3 years ago

Read 2 more answers