Giúp thì giúp cho chót
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a)
\(\left|x+1\right|\ge0\forall x\Rightarrow2x\ge0\forall x\Rightarrow x\ge0\forall x\)
=> x + 1 = 2x
=> 2x - x = 1
=> x = 1
P.s : đợi chút mấy câu kia
b)
Nếu \(x\ge0\)thì :
x - 3 = x - 4
x - x = -4 + 3
0.x = -1 ( loại )
Nếu \(x\le0\)thì :
x - 3 = -x + 4
x + x = 4 + 3
2x = 7
x = 7/2 ( tm )
Vậy x = 7/2
Đang thi giữa kì!!!!
Thật thà thế!!!Nhưng ko giúp đc nhá:))
Câu 3:
b: Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{2a-b+3c}{2\cdot2-3+3\cdot4}=\dfrac{39}{13}=3\)
Do đó: a=6; b=9; c=12
\(\text{1)Thực hiện phép tính(tính nhanh nếu có thể):}\)
\(\text{a)}\dfrac{5}{21}-1\dfrac{1}{7}+\dfrac{4}{3}\) \(\text{b)}\dfrac{12}{25}+\dfrac{27}{13}+\dfrac{13}{25}-\dfrac{40}{13}-0,25\)
\(=\dfrac{5}{21}+\dfrac{-8}{7}+\dfrac{4}{3}\) \(=\dfrac{12}{25}+\dfrac{27}{13}+\dfrac{13}{25}+\left(\dfrac{-40}{13}\right)+\left(\dfrac{-1}{4}\right)\)
\(=\left(\dfrac{-19}{21}\right)+\dfrac{4}{3}\) \(=\left(\dfrac{12}{25}+\dfrac{13}{25}\right)+\left(\dfrac{27}{13}+\dfrac{-40}{13}\right)+\left(\dfrac{-1}{4}\right)\)
\(=\dfrac{3}{7}\) \(=1+\left(-1\right)+\left(\dfrac{-1}{4}\right)\)
\(=0+\left(\dfrac{-1}{4}\right)=\dfrac{-1}{4}\)
\(\text{c)}1,6.\sqrt{100}+9:\left(\dfrac{-3}{2}\right)^3-\left(\dfrac{2019}{2020}\right)^0\)
\(=\dfrac{8}{5}.10+9:\dfrac{27}{8}-1\)
\(=16+\dfrac{8}{3}-1\)
\(=\dfrac{56}{3}-1=\dfrac{53}{3}\)
\(\text{2)Tìm x,biết:}\)
\(\text{a)}1\dfrac{2}{5}+x=\dfrac{11}{5}\) \(\text{b)}\dfrac{1}{5}x-1\dfrac{2}{3}=\dfrac{4}{3}\)
\(\dfrac{7}{5}+x=\dfrac{11}{5}\) \(\dfrac{1}{5}x\) \(=\dfrac{4}{3}+\dfrac{5}{3}=\dfrac{9}{3}=3\)
\(x=\dfrac{11}{5}+\left(\dfrac{-7}{11}\right)=\dfrac{86}{55}\) \(x\) \(=3.5=15\)
\(\text{c)}\left|x-\dfrac{1}{2}\right|=\dfrac{3}{5}\)
\(\text{Vậy x-}\dfrac{1}{2}=\dfrac{3}{5}\)
\(x\) \(=\dfrac{3}{5}+\left(\dfrac{-1}{2}\right)=\dfrac{1}{10}\)
\(\text{hoặc x-}\dfrac{1}{2}=\left(\dfrac{-3}{5}\right)\)
\(x\) \(=\left(\dfrac{-3}{5}\right)+\left(\dfrac{-1}{2}\right)=\dfrac{-11}{10}\)
\(\Rightarrow x\in\left\{\dfrac{1}{10};\left(\dfrac{-11}{10}\right)\right\}\)
\(\text{3)f}\left(\dfrac{-1}{2}\right)=\dfrac{1}{2}-3.\left(\dfrac{-1}{2}\right)=\dfrac{1}{2}-\left(\dfrac{-3}{2}\right)=2\)
\(f\left(\dfrac{1}{6}\right)=\dfrac{1}{2}-3.\dfrac{1}{6}=\dfrac{1}{2}-\dfrac{1}{2}=0\)
\(\text{b)Áp dụng tính chất dãy tỉ số bằng nhau:}\)
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{2a-b+3c}{2.3-3+3.4}=\dfrac{39}{13}=3\)
\(\Rightarrow a=3.2=6\)
\(b=3.3=9\)
\(c=3.4=12\)
Câu 4 mik ko biết làm,bn thông cảm:(((
Bài 2:
a: \(AC=\sqrt{BC^2-AB^2}=4\left(cm\right)\)
b: Xét ΔCAB vuông tại A và ΔCAD vuông tại A có
CA chung
AB=AD
Do đó: ΔCAB=ΔCAD
Suy ra: CB=CD
hay ΔCBD cân tại C
c: Xét ΔCDB có
CA là đường trung tuyến
CE=2/3CA
Do đó: E là trọng tâm của ΔCDB
=>DE đi qua trung điểm của BC
Bài làm
3,45 km = 3450 m
~ Dễ mà ~
# Học tốt #
33 Hoa is interested in collecting stamps
34 Tornadoes can suck up anything in their way
35 She wishes she could speak English fluently
37 Jane's house has been repainted by a worker
38 I am tired because I stayed up late watching TV
39 If you work hard, you will pass the exam
40 If I were rich, I would buy that house
33. Hoa is interested in collecting stamps.
34. Tornadoes can suck up anything in their way.
35. She wishes she could speak English fluently.
37. Jane's house has been repainted by a worker.
38. I'm tired because I stayed up late watching TV.
39. If you work hard, you will pass the exam.
40. If I were rich, I would buy that house.