What is the equation of the following line written in general form? (The y-intercept is 7.)
1 answer:
Answer:
<h2>3x - y + 7 = 0</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:
<em>subtract 7 from both sides</em>
<em>divide both sides by (-2)</em>
We have the equation:
Convert it to the general form :
<em>subtract 3x and 7 from both sides</em>
<em>change the signs</em>
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Answer:
Step-by-step explanation:
Given :
0.00467
Now,
Standard form of given equation is :
The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.
Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.
So, if we sum the first N odd numbers, we have
The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have
The second sum is simply the sum of N ones:
So, the final result is
which ends the proof.