Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
<u>Answer:-</u>The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
<em>Additional</em><em> comment</em><em>:</em>
- The conjugate of a+ib is a-ib and
- i = -1
- (a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
Answer:
7.5 times
Step-by-step explanation:
(1.86 * 10^5)/(2.48 * 10^4) = 7.5
Answer:
Step-by-step explanation:
Define number of videos purchased as "n" and number of CD's purchased as "c" then we can equation the total purchases and the costs by:
8 nephews:
n + c = 8
Spent $121.53
14.95*n + 16.88*c = 121.53
Substitute one variable as a function of the other. Preference the simpler equation (n + c = 8)
n = 8 - c
=>
14.95*(8-c) + 16.88c = 121.53
119.60 + 1.93c = 121.53
1.93c = 1.93
c = 1
=>
n = 7
*Check:
14.95*(7) + 16.88*(1) = 121.53
im so sorry if this is wrong :/
Answer:
an increase of around 30.76%
Step-by-step explanation:
24 divided by 78 = .307692307....
EXPLANATION
If a_1 = 5 and a_n = n*a_n-1 - 4 the value of a_3 is given by the following relationship:
The answer is 8
