- There is no the diagram
- a^2 + ab + b^2 =a2+ab+b2=22+5⋅2+52=2⋅2+5⋅2+5⋅5=4+10+25=14+25=39
- 22⋅32=(2⋅2)⋅(3⋅3)=4⋅9=36
- 5⋅(−5)+6⋅(−8)−16=−25+(−48)−16=−25−48−16=−73−16=−89
- a) if 4x (x + 2) is 4⋅(x+2), then 4⋅(x+2)=4⋅x+4⋅2 (by distributivity property) =4x+8
if 4x (x + 2) is 4x⋅(x+2) , then 4x⋅(x+2)=4x⋅x+4x⋅2=4x2+8x (4x⋅2=4⋅2⋅x by associativity property)
b) (3x+5)(2x+3)=3x⋅(2x+3)+5⋅(2x+3)=3x⋅2x+3x⋅3+5⋅2x+5⋅3=6x2+9x+10x+15=6x2+19x+15
c) if 27x y^3 /3x^3 y^2 is 3x3y227⋅y3 then 3x3y227⋅y3=/y2y3=y/=3x327⋅y=/327=9/=x39⋅y
if 27x y^3 /3x^3 y^2 is 3x3y227x⋅y3 then 3x3y227x⋅y3=3x327x⋅y=x39x⋅y=x29y
6. a)
10x−6=5x−410x−5x=−4+65x=2x=52=0.4 b) if 4x (2x - 1) is 4x(2x−1) then:
4x(2x−1)=2(3−x)4x⋅2x−4x=2⋅3−2⋅x8x2−4x=6−2x8x2−4x+2x−6=08x2−2x−6=0∣:24x2−x−3=0D=(−1)2−4⋅4⋅(−3)=1+48=49=72x1=2⋅4−(−1)+7=81+7=88=1x2=2⋅4−(−1)−7=81−7=8−6=4−3=−0.75
if 4x (2x - 1) is 4⋅(2x−1) then:
4⋅(2x−1)=2(3−x)4⋅2x−4⋅1=2⋅3−2⋅x8x−4=6−2x8x+2x=6+410x=10x=10:10=1
7. Sum of triangle's angles is 180°. Then
∠K+∠L+∠M=180°12°+23°+x=180°35°+x=180°x=180°−35°=145°
Answers:
- -
- 39
- 36
- -89
- a) 4x+8 OR a) 4x2+8x -- depends on the condition
b) 6x2+19x+15
c) x39⋅y OR c) x29y -- depends on the condition
6. a) x = 2/5 = 0,4
b) x1 = 1, x2 = -0,75 OR b) x = 1 -- depends on the condition
7. 145
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