Giúp mk với!!!

Giúp mk với!!!

Cho a√(1−b^2)+b√(1−a^2)=1

Chứng minh rằng a^2+b^2=1

Mk cảm ơn!!!

Giúp mk với!!!

Cho \(a\sqrt{1-b^2}+b\sqrt{1-a^2}=1\)

Chứng minh rằng \(a^2+b^2=1\)

Fill in each numbered gap with one suitable word.

The Great (1)……..…………of Giza was built as a (2)………….……..of Pharaoh Cheops  in 2720 BC. (3)………….……..it was built a long time ago, its (4)………………….makes it one of the true (5)…………..of the world. The four (6)……………..….of the pyramid are put almost exactly on true north, south, east and west. Explorations and detailed examinations of the base of the structure reveal many interesting lines. Further (7)……………….. study indicates that (8)…………….…..represent a type of line of events-past, present and future. Many of the (9)……………….have been interpreted and found to coincide with known facts of the past. Was this super structure made by ordinary beings or one built  by a race (10)……………..……superior to any known today?

Fill in the each gap with the most correct forms of the block word on the right.

1. He is behaving in a very _______ way. MYSTERY

2. Marry wants to _______ her knowledge of the subject. BROAD

3. His _______ to retire surprised all of the workers.              DECIDE

4. Some people _______ didn't come. INVITE

5. It is _______ to turn off the lights when it is bright enough.  ECONOMY  

6. My _______ opinion is that the students should be doing more work outside the classroom. PERSON

7. These workers got a bonus because they did their jobs _______. EFFECT

8. From 1865 to 1875, a remarkable _______ of inventions was produced. VARIOUS

9. She received a lot of _______ from her mother. COURAGE

10. He doesn‘t agree with the _______ that there is life on other planets. BELIEVE

Use the words provided to write meaningful sentences. Use can make any necessary changes if you wish.
1. John/ only/ understand/ little/ what/ professor/ say/ last lecture.
……………………………………………………………………………………………….
2. I/ not/ suppose/ you/ have/ change/ two pounds.
……………………………………………………………………………………………….
3. harder/ he/ try/ worse/ he/ danced/ before/ large audience.
……………………………………………………………………………………………….
4. Never/ my life/ I/ see/ such/ beautiful sunset.
……………………………………………………………………………………………….
5. five-thousand dollar reward/ offered/ the capture/ escaped criminals.
……………………………………………………………………………………………….
6. Peter/ not/ care/ if/ Tony/ leave/ stay.
……………………………………………………………………………………………….
7. What/ he/ did/ come/ no surprise/ me.
……………………………………………………………………………………………….
8. Though/ she/ very tired/ she/ agreed/ help/ son/ his homework.
……………………………………………………………………………………………….
9. My mother/ always/ first one/ get up/ prepare/ breakfast/ us. 
……………………………………………………………………………………………….
10. In order/ get/ scholarship/ students/ required/ write/ essay/ their future.
……………………………………………………………………………………………….

II. Write the second sentence in such a way that it is as similar as possible in meaning to the original sentence. Do not change the form of the given word. 
1. He drove so carelessly that he had an accident last month. (such)
……………………………………………………………………………………..…………
2. Dickens’s last novel was unfinished when he died. (without)
……………………………………………………………………………………..…………
3. Mark is too young to see the horror film. (enough)
…………………………………………………………………………………………..……
4. Everyone but Jane failed to produce the correct answer. (succeeded)
………………………………………………………………………………………..………
5. “How about going to the concert?” said John. (suggested)
………………………………………………………………………………………..………