What does it mean when two equations are graphed and they produce the same line

2 answers:

8 0

Hello!

Sometimes two equations will graph the same line. This can occur when using certain equations that use zeros, for example. This means that a system of equations have infinite solutions and that they are impossible to solve.

I hope this helps!

densk [106]3 years ago

4 0

Graphing two equations that produces the same line is called Infinite Solutions.

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In order to use a ladder safely, the angle that the ladder forms with the ground should not exceed 70 degree. If you have a ladd

solong [7]

Answer:

Maximum safe height can be reached by ladder = 15.03. ft

Step-by-step explanation:

Given,

Let's assume the maximum safe height of wall = h

angle formed between ladder and ground = 70°

length of ladder = 16 ft

From the given data, it can be seen that ladder will form a right angle triangle structure with the wall

So,from the concept of trigonometry,

$Sin70^o\ =\ \dfrac{\textrm{maximum safe height of wall}}{\textrm{length of ladder}}$

$=>Sin70^o\ =\ \dfrac{h}{16\ ft}$

$=>\ h\ =\ 16\times Sin70^o$

=> h = 16 x 0.9396

=> h = 15.03 ft

So, the maximum safe height that can be reached by the ladder will be 15.03 ft.

8 0

2 years ago

Please calculate this limit please help me

Tasya [4]

Answer:

We want to find:

$\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}$

Here we can use Stirling's approximation, which says that for large values of n, we get:

$n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n$

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

$\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} = \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}$