Prove it disprove: if 2n + 4 is even then n is even. Prove or disprove: if n is even then (n+3)^2 is odd.

The first claim,

"If 2n + 4 is even, then n is even"

is false; as a counterexample, consider n = 1, which is odd, yet 2•1 + 4 = 6 is even.

The second claim,

"If n is even, then (n + 3)² is odd"

is true. This is because

(n + 3)² = n ² + 6n + 9

n ² + 6n is even because n is even. 9 is odd. The sum of an even and odd integer is odd.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.