12 down is decagon. 7 down is mode. I think 5 down is slope. 13 down is prime. 3 down might be variable. 10 down should be equation. Hope these are right!
Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
The desired equation is y = x + 8.
Step-by-step explanation:
As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6. Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.
Start with the slope intercept form y = mx + b. Since m = 1, we now have y = x + b. Subbing 4 for x, 12 for y, we can find b: 12 = 4 + b. Thus, b = 8.
The desired equation is y = x + 8.
Answer:
h = 6.7
Step-by-step explanation:
sin(48) = 5/h
so
h = 5 / sin(48)
h = 5 / 0.7431
h = 6.7
