Answer:
A and D
Step-by-step explanation:
Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
Rose has read more because 3/6 of a book is more then 3/8 of a book in Alexa's book the chapters will be shorter than the chapters in Rose's book.
Hope this helps
The answer is a. Tell me if im wrong
Answer:
The total population of these two states is:
![3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41](https://tex.z-dn.net/?f=3.804%5Ctimes%20%5C%3A%5C%3A10%5E7%2B2.606%5Ctimes%20%5C%3A%5C%3A10%5E7%5C%3A%3D10%5E7%5Ctimes%20%5C%3A%5C%3A6.41)
Therefore, option C is correct.
Step-by-step explanation:
- The population of California is approximately 38,040,000.
- The population of Texas is about 2.606 × 10⁷.
Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.
i.e.
38,040,000 = 3.804 x 10⁷
So adding 3.804 x 10⁷ and 2.606 × 10⁷
i.e.
![3.804\times \:10^7+2.606\times \:10^7](https://tex.z-dn.net/?f=3.804%5Ctimes%20%5C%3A10%5E7%2B2.606%5Ctimes%20%5C%3A10%5E7)
![\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41](https://tex.z-dn.net/?f=%5Cmathrm%7BAdd%5C%3Asimilar%5C%3Aelements%3A%7D%5C%3A10%5E7%5Ctimes%20%5C%3A3.804%2B10%5E7%5Ctimes%20%5C%3A2.606%3D10%5E7%5Ctimes%20%5C%3A6.41)
Thus, the total population of these two states is:
![3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41](https://tex.z-dn.net/?f=3.804%5Ctimes%20%5C%3A%5C%3A10%5E7%2B2.606%5Ctimes%20%5C%3A%5C%3A10%5E7%5C%3A%3D10%5E7%5Ctimes%20%5C%3A%5C%3A6.41)
Therefore, option C is correct.