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natima [27]
3 years ago
14

What are the differences and similarities between the Pythagorean Theorem and the Distance Formula? Which method do you think mi

ght be more useful in solving most problems?
Mathematics
1 answer:
Julli [10]3 years ago
5 0
I personally would use the Pythagorean theorem over distance because it is a lot simpler  
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Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u
yuradex [85]

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

<em>Additional comment</em>

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

7 0
1 year ago
Please help <br> !!!!!!!!!!!!!!!!
Eduardwww [97]

Answer:

6 in 2.

Step-by-step explanation:

Area =  √s(s-a)(s-b)(s-c)

=  √6×(6 - 4)×(6 - 3)×(6 - 5)

=  6 inches 2.

7 0
3 years ago
Read 2 more answers
What is 20% of 120 ??? HELP ME
maksim [4K]

Answer:

24

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
(X^3)^1/3 <br> What is the simplest form of this expression?
Norma-Jean [14]
The simplest form would be x

The rule for power to a power is 'keep the base and multiply the powers'.
3 * (1/3) = 1
So it would be x^1 or just x
7 0
3 years ago
Please help me look at the attached picture
Lady bird [3.3K]

Answer:

Q(-10) = 299

Step-by-step explanation:

Q(x) = 3x^{2} - 1Q(-10) = 3(-10)^{2} - 1

Q(-10) = 3(100) - 1  (-10 to the second power is 100 (negative times a negative equals a positive)

Q(-10) = 300 - 1  3 times 100 equal 300

Q(-10) = 299

5 0
3 years ago
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