The check digit 13 for an ISBN-13 with initial digits 12 … 12is determined by the congruence

(1 + 3 + ⋯ 13) + 3(2 + 4 + ⋯ 12) ≡ 0 (mod 10).

Determine whether the following 13-digit numbers is a valid ISBN-13.

978-0-073-20679-1

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

happy to

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1. perpendicular

2. parallel

3. perpendicular

find the vertical and horizontal asymptotes of the function f x = 5 x − 1 . to find the vertical asymptote, equate the denominator to zero and solve for . since the degree of the polynomial in the numerator is less than that of the denominator, the horizontal asymptote is .

step-by-step explanation: