HOC24
Lớp học
Môn học
Chủ đề / Chương
Bài học
A) X(2) =1+1=2=1(2)
=> X = 1
B) X(8) = 4+4=8 =1(8)
=> X =1
AB+BC+CD+AD=66 (1)
AB+BC+AC=56 (2) =>(AB+BC)=56-AC (*)
AC+CD+AD=60 (3) => CD+AD=60-AC (**)
(1)(2)(3)
2(AB+BC+CD+AD)=66+56+60=182
AB+BC+CD+AD=91 (4)
(4);(*)(**) => 60-AC+56-AC=91 => AC= 25/2= 12,5
30 dm = 300 cm 100 dm = 10 m
30 m = 3000 cm 300 cm = 3 m
40 cm = 4 dm 20 m = 200 dm
tự ra đề thì phải tự làm.
chưa ai làm bt ntn cả.
tự làm đê.
Q=\(\left\{\frac{a}{b};b\ne0\right\}\)
\(x-y=\left(5+\frac{3}{13}+\frac{7}{26}+\frac{1}{2}\right)-\left(5+\frac{2}{3}+\frac{4}{37}+\frac{5}{111}\right)\)
\(=\left(\frac{1}{2}-\frac{2}{3}\right)+\left(\frac{3}{13}-\frac{4}{37}\right)+\left(\frac{7}{26}-\frac{5}{111}\right)>0\)
=> x> y
\(M=\frac{x+y}{xy}.\frac{1}{z}\ge\frac{2\sqrt{xy}}{xy}.\frac{1}{z}=\frac{2}{z\sqrt{xy}}\ge\frac{2}{z\left(\frac{x+y}{2}\right)}=\frac{4}{z\left(x+y\right)}\)
\(=\frac{4}{z\left(1-z\right)}=\frac{4}{\frac{1}{4}-\left(z-\frac{1}{2}\right)^2}\ge16\)
Min M= 16 khi z=1/2 và x=y =1/4.
a) \(\sqrt{9-4\sqrt{5}}-\sqrt{5}=\sqrt{\left(\sqrt{5}-2\right)^2}-\sqrt{5}=\left|\sqrt{5}-2\right|-\sqrt{5}=\sqrt{5}-2-\sqrt{5}=-2\)
b) \(\left(4-\sqrt{7}\right)^2=4^2-2.4.\sqrt{7}+\sqrt{7}^2=16-8\sqrt{7}+7=23-8\sqrt{7}\)
c) \(\sqrt{23+8\sqrt{7}}=\sqrt{\left(4+\sqrt{7}\right)^2}=\left|4+\sqrt{7}\right|=\sqrt{7}+4\)