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olga2289 [7]
3 years ago
14

What is the right form?

Mathematics
1 answer:
gavmur [86]3 years ago
6 0
When we answer a question, the hope is always that you will learn something. Even if you don't we hope you can, at least, copy the steps using different numbers as may be required. See brainly.com/question/8683122.

1) subtract the constant (23)
.. x^2 -10x = -23

2) determine the coefficient of the x term (-10)
3) figure the value of half that (-5)
4) compute the square of that value ((-5)^2 = 25)
5) add that square
.. x^2 -10x +25 = 2

6) rewrite the left side as a square (you have chosen the correct form)
.. (x -5)^2 = 2

_____
To solve,
7) take the square root of both sides of the equation.
.. x -5 = ±√2

8) add the opposite of the constant on the left
.. x = 5 ±√2
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You drop a ball from a height of 0.5 meters. Each curved path has 52% of the height of the previous path. a. Write a rule for th
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Answer:

a) a_n = 50 (0.52) ^ {n-1}

b) a_6 = 50 (0.52) ^ 5 = 1.90\ cm

Step-by-step explanation:

If each curved path has 52% of the previous height this means that \frac{a_{n+1}}{a_n} = 0.52

Then the radius of convergence is 0.52 and this is a geometric series.

The geometric series have the form:

a_n = a_1 (r) ^ {n-1}

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a_1 is the first term of the series and r is the radius of convergence.

In this problem

a_1 = 0.5 meters = 50 cm

r = 0.52

a) Then the rule for the sequence is:

a_n = 50 (0.52) ^ {n-1}

b) we must calculate a_6

a_6 = 50 (0.52) ^ 6-1\\\\a_6 = 50 (0.52) ^ 5 = 1.90\ cm

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Answer:

Z=1

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