778.5 Million in Scientific Notation is..
7.785 × 
Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
Answer:
8184 vocalists sang in total
Step-by-step explanation:
The number needed is ...
8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096
You can add these up to get a total of 8184, or you can use the formula for the sum of a geometric series:
Sn = a1(r^n -1)/(r -1) . . . . where a1 is the first term and r is the common ratio
S10 = 8(2^10 -1)/(2 -1) = 8(1024 -1)/1 = 8184
It would be: 6 ( 6- 4)
= 6 ( 2)
= 12
So, Your Answer would be 12
Hope this helps!
Answer:
Y=1/2x +5
Step-by-step explanation:
(0,5) (-10,0)
0-5/-10-0=1/2
(0,5) (x, y)
Y-5/x-10=1/2(crossmultiply)
2y-10=x
2y= x +10(divide all sides by 2)
Y=1/2x+5
