Câu 11b nha mn
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\(A=5a^3b^4-9a^{11}b^2=a^3b^2\cdot5b^2-a^3b^2\cdot9a^8=a^3b^2\left(5b^2-9a^8\right)\)
Thay \(a=-1\) và \(b=2\) vào biểu thức A, ta có:
\(A=\left(-1\right)^3\cdot2^2\left(5\cdot2^2-9\left(-1\right)^8\right)=-1\cdot4\left(5\cdot4-9\cdot1\right)=-4\left(20-9\right)=-4\cdot11=-44\)
Có vẻ như đề bài biểu thức B không đúng vậy. Sửa \(by\) ở cuối thành \(ay\).
\(B=ax+by+bx+ay=\left(ax+ay\right)+\left(bx+by\right)=a\left(x+y\right)+b\left(x+y\right)=\left(a+b\right)\left(x+y\right)\)
Thay \(a+b=-2\) và \(x+y=17\) vào biểu thức B, ta có:
\(B=-2\cdot17=-34\)
b: Xét ΔABH vuông tại H có
\(AB^2=AH^2+HB^2\)
hay AH=12(cm)
Xét ΔAHB vuông tại H có
\(\sin\widehat{B}=\cos\widehat{C}=\dfrac{AH}{AB}=\dfrac{12}{13}\)
\(\cos\widehat{B}=\sin\widehat{C}=\dfrac{5}{13}\)
\(\tan\widehat{B}=\cot\widehat{C}=\dfrac{12}{5}\)
\(\cot\widehat{B}=\tan\widehat{C}=\dfrac{5}{12}\)
a; a - b ⋮ 6
a - b + 12b ⋮ 6
a + 11b ⋮ 6 (đpcm)
b; a - b ⋮ 6
a - b - 12a ⋮ 6
-11a - b ⋮ 6
-(11a + b) ⋮ 6
11a + b ⋮ 6 (đpcm)
2 she had got the price of the contest, she would be happy now
3 I had gone to the concert last night ,I would be tired
4 John had finished all his homework, he could see a movie now
5 we had listened to my mother, we wouldn't be in trouble right now
Ex5
1 you arrive at the offcie earlier than I do, please turn on the air-conditioner
2 Were it not snowy, the children would go to school
3 he not died so young, he would be a famous musician
4 Were I you, I would take care of my car
5 not very bad-tempered, his wife would give him soon are marrage
6 Had she not got married at such an early age, he would be at university
a. x2 - 11 = \(x^2-\left(\sqrt{11}\right)^2=\left(x-\sqrt{11}\right)\left(x+\sqrt{11}\right)\)
b. x2 - 5 = \(x^2-\left(\sqrt{5}\right)^2=\left(x-\sqrt{5}\right)\left(x+\sqrt{5}\right)\)
c. x2 - 7 = \(x^2-\left(\sqrt{7}\right)^2=\left(x+\sqrt{7}\right)\left(x-\sqrt{7}\right)\)