Answer:
False
Step-by-step explanation:
No options is attached to the question. However, I'll assume it's a true or false question.
Represent the radius with r.
The circumference is calculated as:
X = 2πr
When the radius is doubled, the new radius R is
R = 2r
And the new circumference, C is:
C = 2πR
Substitute 2r for R
C = 2π * 2r
C = 4πr
Factorize the above equation.
C = 2 * 2πr
Recall X = 2πr;
The expression becomes:
C = 2 * X
C = 2X
This means that the circumference is doubled, not quadrupled.
Hence, the statement is false.
We want to expand (2x + y²)⁵.
From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.
n=0: 1
n=1: 1 1
n=2: 1 2 1
n=3: 1 3 3 1
n=4: 1 4 6 4 1
n=5: 1 5 10 10 5 1
Therefore the third term in the expansion is
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
Answer:
<u>2√13</u>
Step-by-step explanation:
⇒ √(3√3)² + 5²
⇒ √27 + 25
⇒ √52
⇒ <u>2√13</u>
Answer:
A I believe?
Step-by-step explanation:
