Step-by-step explanation:
k=8 that is the equation with no solutions
Answer:
![\huge\boxed{x \approx 5.4}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bx%20%5Capprox%205.4%7D)
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
- The line which is 8 units long is a chord of the circle.
- The line that is 3.6 is <em>almost</em> the radius of the circle
- The line that x sits on is the radius.
With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
The formula for the value of nth term is
= 3n + 1
Step-by-step explanation:
The formula of the nth term in the arithmetic sequence is
, where
- a is the first term of the sequence
- d is the common difference between each two consecutive terms
∵ The first term of an arithmetic sequence is equal to four
∴ a = 4
∵ The common difference is equal to three
∴ d = 3
- Substitute these values in the rule of the nth term
∵ ![a_{n}=a+(n-1)d](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da%2B%28n-1%29d)
∴ ![a_{n}=4+(n-1)3](https://tex.z-dn.net/?f=a_%7Bn%7D%3D4%2B%28n-1%293)
- Simplify it
∴ ![a_{n}=4+3n-3](https://tex.z-dn.net/?f=a_%7Bn%7D%3D4%2B3n-3)
∴ ![a_{n}=1+3n](https://tex.z-dn.net/?f=a_%7Bn%7D%3D1%2B3n)
The formula for the value of nth term is
= 3n + 1
Learn more:
You can learn more about the sequence in brainly.com/question/7221312
#LearnwithBrainly
UGH I think I did this before but I totally forgot how to do it. Give me a minute to do some research and remember because I'm about 79% sure I know how to do this!
Answer: -91
Step-by-step explanation:
13x, x=-7
plug in the -7 to x
13(-7)
multiply
<h3>
-91</h3>