Make a conjecture about the next term in this sequence: 2, 4, 6, 8
2 answers:
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Answer:
If the kid walks for the dotted line, the distance is 36ft.
Now, you can see that this is a triangle rectangle, then we must have that:
x^2 + (x + 6)^2 = 36^2 (the Pythagorean theorem)
Now we must solve this for x.
x^2 + x^2 + 2*6*x + 36 = 36^2
2*x^2 + 12*x -1260 = 0
The solutions for this equation are:
the solutions are:
x = (-12 - 101.1)/4 = -28.78
x = (-12 + 101.1)/4 = 22.3
Then we have x = 22.3 ft
The lenght of the path following the cathetus is:
D = x + x + 6 = 2*22.3ft + 6ft = 50.6ft
Then the difference between the distances is:
Diff = 50.6ft -36ft = 14.6ft
Mario says that the expression has four terms: 4, 3, n, and 2. Mario is incorrect
<em><u>Solution:</u></em>
Given that the expression is:
Given that, Mario says that the above expression has four terms
But Mraio is incorrect
Because the given expression has two terms only
4 is one of the term
is another term
So there are totally 2 terms only
A term can be a signed number, a variable, or a constant multiplied by a variable or variables
Here 3 is a constant multiplied by
So, is one term
Each term in an algebraic expression is separated by a + sign or - sign
Thus there are two terms in mario expression