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:
1 + i
Step-by-step explanation:
Given that A is a 3 * 3 singular matrix
one of its eigenvalue ( λ1 ) = 1 - i
Given that the determinant of a singular matrix is = 0
therefore the second eigen value ( λ2 ) = 1 + i
1 - i + 1 + i = 0
Answer:
36.9 m
Step-by-step explanation:
h(t) = -4.9t² + 25t + 6
At t = 3:
h(3) = -4.9(3)² + 25(3) + 6
h(3) = -44.1 + 75 + 6
h(3) = 36.9
After 3 seconds, the ball will have a height of 36.9 meters.
Answer:
<em>Eunice 3510; Suin 7020</em>
Step-by-step explanation:
<em>Eunice bought 585 beads.</em>
<em>Jennifer bought 6 times more than Eunice</em> but half of the total of beads Suin bought.
Eunice: 6 * 585 = 3510
Jennifer bought 6 times more than Eunice but <em>half of the total of beads Suin bought.</em>
<em>Suin: 3510 * 2 = 7020</em>
Answer:
V = 15/4π = 3.75π
Step-by-step explanation:
V=πr^2h
V=π(1/2^2)15
V=π(1/4)15
V=15/4π