The library made a table to track the number of fiction and nonfiction books checked out for 6 days.
2 answers:
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Answer:
No, it is not a right triangle.
Step-by-step explanation:
Given:
The sides of the triangle = 15 10 and 7
To Find:
Whether the triangle is a right triangle = ?
Solution:
According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side
where
a and b are the smaller sides
c is the larger side
Now from the given data, lets assume
a = 10 and b =7 and c =15
Substituting in the above equation we get,
100 + 49 = 225
149 = 225
So, the given triangle is not a right triangle.
Answer:
x ≈ {0.653059729092, 3.75570086464}
Step-by-step explanation:
A graphing calculator can tell you the roots of ...
f(x) = ln(x) -1/(x -3)
are near 0.653 and 3.756. These values are sufficiently close that Newton's method iteration can find solutions to full calculator precision in a few iterations.
In the attachment, we use g(x) as the iteration function. Since its value is shown even as its argument is being typed, we can start typing with the graphical solution value, then simply copy the digits of the iterated value as they appear. After about 6 or 8 input digits, the output stops changing, so that is our solution.
Rounded to 6 decimal places, the solutions are {0.653060, 3.755701}.
_____
A similar method can be used on a calculator such as the TI-84. One function can be defined a.s f(x) is above. Another can be defined as g(x) is in the attachment, by making use of the calculator's derivative function. After the first g(0.653) value is found, for example, remaining iterations can be g(Ans) until the result stops changing,
