Xác định đa thức bậc nhất \(P\left(x\right)=ax+b\) biết rằng P(-1)=5 và P(-2)=7

Chứng tỏ rằng đa thức \(A\left(x\right)=3x^4+x^2+2018\) không có nghiệm

Tìm giá trị của đa thức A biết rằng: \(A=3x^4+5x^2y^2+2y^4+2y^2\), biết rằng: \(x^2+y^2=2\)

Cho tam giác ABC vuông cân tại A và AB=AC. Qua đỉnh A kẻ đường thẳng xy sao cho xy không cắt đoạn thẳng BC. Kẻ BD và CE vuông góc với xy (D thuộc xy; E thuộc xy). Chứng minh:

a) Góc DAB = Góc ACE

b) Tam giác ABD = Tam giác CAE

c) DE=BD+CE

Read the following passage, and then decide True (T) or False (F) for the following sentences.

“Sky Whale” is a plane with four engines that can carries over 700 people. The airplane will exist for short distance between cities. The technology will use eco-engines with energy recovery systems which are able to feed back to the planes themselves.

With a capacity to transport a large number of passengers, like a train of high speed, "Sky Whale" will be a safer type of planes for the future.

We will also have supersonic planes which are transcontinental or transoceanic. They can fly at very high altitudes more than 30,000 meters and at record speeds. The engines which can change according to the situations are called intelligent engines.

_____ 1."Sky Whale" can carry a large number of passengers.

_____ 2. The airplane will be used for long distances between cities because it has four engines.

_____ 3. "Sky Whale" can travel at a high speed.

_____ 4.Transcontinental planes can fly at the maximum altitude of 3.000 metres and at record speeds.

_____ 5.Intelligent engines are the ones that can change according to the situations.

Give the correct form of the words given to complete the sentences:

1) Solar energy is renewable, ....................... and clean (plenty)

2) We should reduce the use of ................................. at home (electric)

3) We are having an interview with Mr. Phong, one of the Elephant Race ........................... (organize)

4) There are a lot of cultural and .............................. activities held as part of this festival. (art)

5) The film was .............................. though they spent millions of dollars making it. (succeed)

6) We were ......................... with the service at the cinema. Everything was terrible. (satisfy)

7) ..................................., fossil fuels are harmful to the environment. (fortunate)

8) We are talking about the real ................................... of flying cars. (exist)

9) I don't think it will come true soon; however, your idea is really ...................................... (image)

10) I like travelling by motorbike, but it is .................................... in bad weather. (please)

Complete each sentence by using the appropriate verbs in the box in the Future continuous tense:

build, give, install, put, use

1) We ............................. the low energy light bulbs in the kitchen at this time tomorrow

2) My brother ................................ a speech about alternative sources of energy at 10 o' clock on Tuesday

3) They ...................................... a hydro power station in our area at this time next year

4) At this time next month, we ............................. solar energy

5) The workers ........................................ a network of wind turbines in this area on June \(28^{th}\)