I believe that it’s the first one
V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r
V(new cylinder)= πR²h = π(3r)²h=9πr²h
V(new cylinder)/V(cylinder)=9πr²h/πr²h=9
Volume new cylinder 9 times more the volume of old cylinder.
1+3+5+7+...+999 =
= 1+2+3+4+...+500
+1+2+3+...+499
= 2·(1+2+3+...+499) + 500
= 2·(499·500)/2 + 500
= 499·500 + 500
= 500·(499 + 1)
= 500·500
= 250.000
Find the Greatest Common Factor (GCF)
GCF = 2xy
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)
Simplify each term in parenthesis
2xy(4x^2 - 4x - 15)
Split the second term in 4x^2 - 4x - 15 into two terms
2xy(4x^2 + 6x - 10x - 15)
Factor out common terms in the first two terms, then in the last two terms;
2xy(2x(2x + 3) -5(2x + 3))
Factor out the common term 2x + 3
<u>= 2xy(2x + 3)(2x - 5)</u>
→ 3 ≠ 1 → A is eliminated.
→ 5 ≠
→ B is eliminated.
→ 2 = 2 → C satisfies the equation.
→ 10 ≠
→ D is eliminated.
→ -1 = -1 → E satisfies the equation.
→ 3 = 3 → F satisfies the equation.