For how many positive integer values of N is the expression 36/N + 2 an integer?

Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

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Step-by-step explanation:

36=2×2×3×3

factors of 36 are 2,3,4,6,9,12,18,36

when N+2=2,N=0 (0 is neither positive nor negative.)

N+2=3,N=3-2=1

N+2=4,N=4-2=2

N+2=6,N+6-2=4

N+2=9,N=9-2=7

N+2=12

N=12-2=10

N+2=18,N=18-2=16

N+2=36,N=36-2=34

so for 7 positive integer values of N,36/(N+2)is a positive integer.

y -5 = (-1/4)(x + 8)

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.