Find the value of y in the solution to the system of equations shown. y= 12x+7 y=-6x+25
2 answers:
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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.
Answer:
the y coordinate is 5
Step-by-step explanation:
In the figure attached, the directed line segment is shown.
J is located at (-3, 1) and K is located at (-8, 11)
run: x2 -x1 = -8 - (-3) = -5
rise: y2 - y1 = 11 - 1 = 10
Taking J as reference, the coordinate of the point that divides the directed line segment from J to k into a ratio of 2:3 is:
c = 2/(2+3) = 0.4
(x1 + c*run, y1 + c*rise)
(-3 + 0.4*-5, 1+0.4*10)
(-5, 5)
