I think i’m not really good at math so..
D.
(7,-3) and (4,0)
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:
passive income
Step-by-step explanation:
D. 53, 107
The pattern is multiplying the previous number by two and then adding one to it.
The 10 followed by the little superscript number just represents how many decimal places you move to get your final number. So:
3.25 × 10⁴ just means you move the decimal point (between 3 and 2) four times to the right: 32500 (the decimal point would be after the last 0, so technically it's 32500.0, but you don't need to write that).
When the little superscript number is negative, you move the decimal point to the left:
6.04 × 10⁻³ = 0.00604 (make sure to add a zero before the decimal too).
When you write a standard form number, you have to make sure the number is larger than 0 and less than 10, so converting a number like 2,400,000 would be 2.4 × 10⁵, because you're moving the decimal place 5 times to get 2,400,000.
0.00147 is 1.47 × 10⁻³ because once again, you have to move 3 decimal places to the left.