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3 years ago

WILL MARK BRAINLIEST!!!!!

Mathematics

1 answer:

xenn [34]3 years ago

5 0

Answer:

An example that may contradict the definition is that if you are trying to find chords, they wont be the same distance as finding the radius. The way that you can change this definition is by saying that "A circle is the set of all points in a plane that are the same distance from a fixed point called the center."

Hope this helps you!

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what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4

patriot [66]

For a geometric sequence with common ratio $r$ , we have

$a_n=a_{n-1}r$

that is, the $n$ -th term in the sequence is the product of the previous term and the common ratio $r$ . So

$a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}$

Then the sum of the first 7 terms is

$S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7$
$\implies S_7=a_1+a_1r+\cdots+a_1r^6$

Notice that

$S_7r=a_1r+a_1r^2+\cdots+a_1r^7$

so we can subtract this modified sum from $S_7$ to get

$S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}$

We're told that $a_1=-11$ and $r=-4$ , so the sum of the first 7 terms is

$S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188$

3 0

3 years ago

Factor 8x^5+4x^2−12

Effectus [21]

D) because only 4 is the common factor in the equation.

4 0

3 years ago

Read 2 more answers

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

$A\approx 22.6$

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0

3 years ago

The first term of geometric sequence is 7 and the common ratio is -2. Find the 9th term.

kobusy [5.1K]

$a_{1}$ = 7.

Ratio means multiply/divide.
To get the next number, multiply number by common ratio.
To get a previous number, divide by common ratio.

Since we want the next number...
2nd term: 7 x -2 = -14
3rd term: -14 x -2 = 28
4th term: 28 x -2 = -56
5th term: -56 x -2 = 112

Keep going until 9th term!

5 0

3 years ago

Select the graph of the solution. Click until the correct graph appears.

faust18 [17]

Answer:

C. is your answer

Step-by-step explanation:

4 0

2 years ago