The equation for a line is y=mx+b. where m is the slope and b is the y intercept.
The slope of 17 is provided. This means m=17. The point (0,0) tells you the y intercept is 0. This means b=0
Plugging these into the equation and simplifying:
y=17x+0
y=17x
Hope this helps :)
65 sequences.
Lets solve the problem,
The last term is 0.
To form the first 18 terms, we must combine the following two sequences:
0-1 and 0-1-1
Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent
So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:
2x + 3y = 18
Case 1: x=9 and y=0
Number of ways to arrange 9 identical 2-term sequences = 1
Case 2: x=6 and y=2
Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28
Case 3: x=3 and y=4
Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35
Case 4: x=0 and y=6
Number of ways to arrange 6 identical 3-term sequences = 1
Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65
Hence the number of sequences are 65.
Learn more about Sequences on:
brainly.com/question/12246947
#SPJ4
Answer:
Exact Form:
100/3
Decimal Form:
33.3
Mixed Number Form:
33 1/3
<em><u>i hope this helped at all.</u></em>
Answer:
Step-by-step explanation:
sin 45 = opposite / hypotenuse
<u>Where opposite = x , hypotenuse = 4</u>
sin 45 = x / 4
![\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B4%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cx%20%3D%202%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
