Answer:
The radius of the circle 'r' = 5
Equation of the circle
(x - 2 )² + (y+1)² = (5)²
center of the circle ( h,k) = (2 , -1) , 'r' = 5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given circle is x² - 4 x + y² + 2 y - 20 =0
x² - 2(2) x + (2)²-(2)²+ y² + 2 y(1) +(1)²-(1)² - 20 = 0
We know that
(a+b)² = a²+2 a b+b²
(a-b)² = a² -2 a b+b²
⇒(x - 2 )² - 4 + (y+1)² -21 =0
⇒ (x - 2 )² + (y+1)² = 25
<u><em>Step(ii):</em></u>-
Equation of the circle form
( x- h)² + (y -k)² = r²
Given circle (x - 2 )² + (y+1)² = (5)²
center of the circle ( h,k) = (2 , -1)
radius of the circle 'r' = 5
904.32 is the volume.
Volume of sphere
= (4/3)πr³
= (4/3) × 3.14 × (6cm)³
= (4/3) × 3.14 × 6cm × 6cm × 6cm
= 4 × 3.14 × 2cm × 6cm × 6cm
= 904.32 cm³
Answer:
![a_n=1.2 \cdot 2.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D1.2%20%5Ccdot%202.5%5E%7Bn-1%7D)
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
![a_n=1.2 \cdot 2.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D1.2%20%5Ccdot%202.5%5E%7Bn-1%7D)
Hope this helps!
4y+yz is the correct answer