Which of the following best describes a circle

Mathematics

1 answer:

Marrrta [24]2 years ago

5 0

Answer:

The definition of a circle is the set of all points at a given distance (it's radius) from a given point (it's center)

Step-by-step explanation:

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...what are consecutive multiples

Korolek [52]

Answer:

Step-by-step explanation:

Let represent A and B

A and B is the sum of the first 50 consecutive multiples of 3 and 6, this is the same as a arithmetic sequence because arithmetic sequences have a common sum.

We can represent this as

$a _{n} = a {}^{1} + d(n - 1)$

where a^1 is the first term, d is the common sum, n is the number of multiples we adding.

The first term for both A and B respectively is 3 and 6.

Multiples implies that the Difference between A and B are 3 and 6 respectively. There are 50 consecutively. multiples.

Plug in the known parts for both.

$3 + 3(49) = 150$

$6 + 6(49) = 300$

We need to what percent of find 150% of 300.

B is twice as A, so this means that we need to multiply 2 by it original or 100% of it self.

$2 \times 100 = 200$

So 200% is the answer.

5 0

2 years ago

use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r

Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt$

If we ask that $f$ has continuous $(n+1)$ th derivative we can apply the mean value theorem for integrals. Then, there exists $c$ between $a$ and $x$ such that