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sarahr9927
@sarahr9927
January 2021
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bonsoir j'aurais besoins d'aide pour un dm merci d'avance
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ramzi13
1- a) les valeurs possibles de x est : 4≤x≤6
b) l'aire de rectangle AFGE est :f(x)= (6-x)(4-x) =24-6x-4x+x²=x²-10x+24
2- a) développer: (x-2)(x-8) = x²-8x-2x+16= x²-10x+16
b) f(x)=8 donc: x²-10x+24=8
x² -10x+24-8=0
x²-10x+16=0
(x-2)(x-8)=0 ; donc : x=2 ou x=8
..................... .................. ......... .. ...... ....
ex:2 1) AC=√(-4-6)²+(0-5)² = √(-10)²+(-5)² =√100+25 = √125 =5√5 cm
..................... ................ .......... ..... ....
AB=√(2-6)²+(-3-5)² =√(-4)²+(-8)² = √16+64 =√80 = 4√5 cm
........................ ............. ........ ..... .... .
BC = √(-4-2)² +(0+3)² =√ (-6)²+3² = √36+9 = √45 = 3√5 cm
2)montrer: AC² =( 5√5)²=125 ; AB²+BC² =(4√5)²+(3√5)² =80+45=125
donc : AC² = AB²+AC² . le triangle ABC est rectangle en B
3) le périmétre: p= AC+AB+BC=5√5+4√5+3√5=12√5cm
∧ ∧
4) sin ACB = AB/AC =4√5/5√5 = 4/5 =0,8 . donc : ACB ≈ 53°
2 votes
Thanks 1
sarahr9927
bonjour , merci beaucoup d'avoir pris temps de me répondre vous m'avez beaucoup aidez passez une bonne fin de journée :)
ramzi13
y'a pas de quoi))
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Lista de comentários
b) l'aire de rectangle AFGE est :f(x)= (6-x)(4-x) =24-6x-4x+x²=x²-10x+24
2- a) développer: (x-2)(x-8) = x²-8x-2x+16= x²-10x+16
b) f(x)=8 donc: x²-10x+24=8
x² -10x+24-8=0
x²-10x+16=0
(x-2)(x-8)=0 ; donc : x=2 ou x=8
..................... .................. ......... .. ...... ....
ex:2 1) AC=√(-4-6)²+(0-5)² = √(-10)²+(-5)² =√100+25 = √125 =5√5 cm
..................... ................ .......... ..... ....
AB=√(2-6)²+(-3-5)² =√(-4)²+(-8)² = √16+64 =√80 = 4√5 cm
........................ ............. ........ ..... .... .
BC = √(-4-2)² +(0+3)² =√ (-6)²+3² = √36+9 = √45 = 3√5 cm
2)montrer: AC² =( 5√5)²=125 ; AB²+BC² =(4√5)²+(3√5)² =80+45=125
donc : AC² = AB²+AC² . le triangle ABC est rectangle en B
3) le périmétre: p= AC+AB+BC=5√5+4√5+3√5=12√5cm
∧ ∧
4) sin ACB = AB/AC =4√5/5√5 = 4/5 =0,8 . donc : ACB ≈ 53°