Answer:
Step-by-step explanation:
1: GCF (72, 144, 180) = 36
2: GCF of 10 and 13 is 1.
3: GCF of 135, 45, and 25 is 5
4: GCF of 150 and 225 is 75
Answer:
(a×b)×c = 0 means that vector c parallel to vector (a×b). But because (a × b) ⊥ a and (a -b) ⊥ b so
c ⊥ a and c ⊥ b.
Hope this helps, have a nice day! :D
Answer:
A round solid figure with ever point on its surface equidistant from its center.
Step-by-step explanation:
Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is:
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).
Answer:
1) v= 280 in^3 sa= 262 in^2
2) v= 80 in^3 sa= 120 in^2
3) v= 36 in^3 sa= 72 in^2
4) v= 240 in^3 sa= 252 in^2