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LenaWriter [7]
3 years ago
13

There are two formulae you can use to calculate the number of apple trees and the number of conifer

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

"By inspection" is an appropriate method.

We are asked to compare the expressions

  n·n

  8·n

and find the value(s) of n that makes them equal. <em>By inspection</em>, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.

__

More formally, we could write ...

  n^2 = 8n . . . . the two formulas give the same value

  n^2 -8n = 0 . . . . rearrange to standard form

  n(n -8) = 0 . . . . . factor

Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...

  n = 0 . . . . . makes the factor n = 0

  n = 8 . . . . . makes the factor (n-8) = 0

Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.

__

A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.

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PLEASE HELP
Nookie1986 [14]

For the square with side length n, the diagonal measures:

d = \sqrt{2} *n

<h3>How to get the length of the diagonal?</h3>

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

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If you want to learn more about right triangles:

brainly.com/question/2217700

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