x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..
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Answer:
obtuse angles and right angle
Answer:
Step-by-step explanation:
<u>We observe the pattern:</u>
<u>It can be put as:</u>
- 0 + 1, 1 + 4, 4 + 9, 9 + 16, ..
or
- 0² + 1², 1² + 2², 2² + 3², 3² + 4², ..
<u>The nth term is going to be:</u>
<u>The sum of the 31 terms will be:</u>
- N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²
or
- N = 2(1² + 2² + 3² + ... + 30²) + 31²
<u>Use the formula for sum of the first n squares:</u>
- 1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6
<u>The sum N equals:</u>
- N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²
<u>And the value of N/31 is:</u>
Answer:
1340 students
Step-by-step explanation:
since the students left 33% of the seats open, that means they took up 67% of the seats.
67% is 0.67
0.67 * 2,000 = 1340
