What is the largest integer n such that (n^2-38) / (n +1) is an integer? a. 36
b. 38
c. 72
d. 76
e. None of these

a. 36

Step-by-step explanation:

for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.

we check with the options

option a n=36 sutisfies the above condition.

(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36

The distance between (-5, 4) and (-1, 4) is 4 units

Step-by-step explanation:

To solve this problem we first have to calculate the distances of the x and the distance of the x

x = x1 - x2

x = (-1) - (-5)

x = 4

y = y1 - y2

y = 4 - 4

y = 0

This means that there is only distance in x, so the distance between the 2 points will be equal to 4