On a square gameboard that is divided into n rows of n squares each, k of these squares do not lie along the boundary of the gam
eboard. If k is one of the four numbers 10, 25, 34, or 52, what is a possible value for n?
1 answer:
Answer: 7
Step-by-step explanation:
-if y is the width and the length of area k (see diagram), the difference between n and y is of 2 square sides, one at each side of y.
-therefore, assuming that n is a whole number and that there aren’t half squares, y must be a whole number too because, as previously said, n-y = 2 so y= n -2
-the only perfect square amongst the values for k you listed is 25, so taking n and y as whole numbers the only possible value for k is 25
-therefore y is 5 and n is 7 because n-y = 2 so y + 2 = n
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Answer:
5
Step-by-step explanation:
First figure out the equation:
We know this is a linear equation because it appears to have a constant slope
Its y-intercept is where it passes in the y-axis, so it's -8
Furthermore, you should also figure out the slope. Notice that the y value increments by 3 every 1 x-value. Rise/Run is 3/1 = 3. Thus, the slope is 3
So your equation is g(x) = 3x - 8
Now we find our inverse function, which is just swapping the x-y values.
Thus, inverse of g(x) ==> y = 3x - 8 ==> x = 3y - 8 ==> x+8 = 3y ==>
Plug in 7 for x and you get 5