3a+123 +23a=385
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\(23a+13b+17c=14a+9a+7b+6b+14c+3c=.\)
\(=\left(14a+7b+14c\right)+\left(9a+6b+3c\right)\)
\(=7\left(2a+b+2c\right)+3\left(3a+2b+c\right)\)
Ta có
\(7\left(2a+b+2c\right)\)chia hết cho 7
\(3a+2b+c\)chia hết cho 7 nên \(3\left(3a+2b+c\right)\)chia hết cho 7
\(\Rightarrow23a+13b+17c\)chia hết cho 7
\(3a+2b+c⋮7\)
\(\Leftrightarrow30a+20b+10c⋮7\)
\(\Leftrightarrow\left(7a+7b-7c\right)+\left(23a+13b+17c\right)⋮7\)
\(\Leftrightarrow7\left(a+b-c\right)+\left(23a+13b+17c\right)⋮7\)
Ta thấy \(7\left(a+b-c\right)⋮7\)
Để \(7\left(a+b-c\right)+\left(23a+13b+17c\right)⋮7\Leftrightarrow23a+13b+17c⋮7\)(đpcm)
B=(-5c+3a-4b)-(3a-4b+7c)-(-12b-6a+15c)+(-3c+21a-10b)
=-5c+3a-4b-3a+4b-7c+12b+6a-15c
=6a +12b -27c
C=-(-32b-12c+5a)+(2c-4b-23a)-(17a-16c-31b)-(-6b+3c)
=32b+12c-5a+2c-4b-23a-17a+16c+31b+6b-3c
=-45a+65b+9c
N=23a-10b-8a+25a
=(23a-8a)+(25b-10b)
=15a+15b
=15.(a+b)
=15.101
=1515
P=13a+7b+2a-2b
=(13a+2a)+(7b-2b)
=5.3a+5b
=5.(3a+b)
=5.404
=2020
Q=100a+27b-a+72b
=(100a-a)+(27b+72b)
=99a+99b
=99.(a+b)
=99.101
=9999
N = 23a - 10b - 8a + 25b = 15a + 15b = 15.(a + b) = 15.101 = 1515
P = 13a + 7b + 2a - 2b = 15a + 5b = 5.(3a + b) = 5.404 = 2020
Q = 100a + 27b - a + 72b = 99a + 99b = 99.(a + b) = 99.101 = 9999
Đáp án B
Ta có: A C = 5 a , dựng S H ⊥ B C ⇒ S H ⊥ S B C
Khi đó: S H = S B sin 30 ∘ = a 3 ; H B = S B c os 30 ∘ = 3 a
Suy ra B C = 4 H C ⇒ d B ; S A C = d H ; S A C
d B ; A C = 4 d H ; A C ⇒ d H ; A C = H E = 3 a 5 .
Khi đó H F = S H . H E S H 2 + H E 2 = 3 a 7 14 ⇒ d B = 6 a 7 7 .
204+456=660
123-96=27
37+140=177
160-145=15
129-753= -624
789-298= 491
291+102= 393
183+290= 473
1,000-123= 877
810-723= 87
986+209= 1195
371-289= 82
730-368=362
260+719= 979
102+763= 865
123+456+7= 586
289-200= 89
120+385= 405
392-277= 115
193+240= 433
782+926= 1708
HỌC TỐT ><
Hí hí =))) Mình trả lời đầu tiên đấy =)))
204+456=660
123-96=27
37+140=177
160-145=15
129-753=-624
789-298=491
291+102=393
183+290=473
1,000-123=877
810-723=87
986+209=1195
371-289=82
730-368=362
260+719=979
102+763=865
123+456+7=586
289-200=89
120+385=505
392-277=115
193+240=433
782+926=1708
Chúc bạn hok tốt~~
\(VT=\dfrac{sin^23a.cos^2a-sin^2a.cos^23a}{\left(sina.cosa\right)^2}\)
\(=\dfrac{\left(sin3a.cosa-sina.cos3a\right)\left(sin3a.cosa+sina.cos3a\right)}{\dfrac{1}{4}sin^22a}\)
\(=\dfrac{4sin2a.sin4a}{sin^22a}=\dfrac{4sin4a}{sin2a}=\dfrac{8.sin2a.cos2a}{sin2a}=8cos2a\)
3a+123 +23a=385
26a=262
a=131/13
\(3a+123+23a=385\)
\(\Rightarrow\left(3+23\right).a=385-123\)
\(\Rightarrow26.a=262\)
\(\Rightarrow a=\frac{131}{13}\)
Vaath ...