An isosceles trapezoid is formed by a 12.4 decimeter long iron wire. It is known that the two sides of the trapezoid are 6.4 decimeters long and the area is 9 square decimeters. What is the height of the trapezoid?

An isosceles trapezoid is formed by a 12.4 decimeter long iron wire. It is known that the two sides of the trapezoid are 6.4 decimeters long and the area is 9 square decimeters. What is the height of the trapezoid?


9 × 2 △ 12.4-6.4 = 18 △ 6 = 3 (decimeter) a: the height of trapezoid is 3 decimeter



【3(a+b)²】³ 【-1/3(a+b)³】²


Original form
=27(a+b)^6×1/9*(a+b)^6
=3(a+b)^12



The fourth power of (- 2) / (- 2 and 2 / 3) & # 178; + 5 and 1 / 2 × (- 1 / 6) - 0.25


The fourth power of (- 2) / (- 2 and 2 / 3) & # 178; + 5 and 1 / 2 × (- 1 / 6) - 0.25
=16÷(-8/3)²+11/2×(-1/6)-1/4
=16×9/64-11/12-1/4
=9/4-11/12-1/4
=2-11/12
=13/12



Let a > 0, B > 0. Prove (A & # 178; △ b) &# 189; power + (B & # 178; △ a) &# 189; power ≥ A & # 189; power + B & # 189; power





If a B = 3, ab = - 2, find the value of a & # 179; a & # 178; B B & # 179





A-1 of a-179; - a-178; - A


A-1 of a-179; - a-178; - A
=a²-a
=a(a-1)
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When the rational numbers a and B satisfy the condition | A-2 | + (B + 4) & # 178; = 0, the value of the algebraic formula A & # 179; X + 1 / 2by + 5 is 1997. When m = - 4, n = - 1 / 2,
The value of the algebraic expression 3mx-24n & # 179; y + 4997


|a-2|+(b+4) ²=0
∴a-2=0
b+4=0
∴a=2
b=-4
The value of a & # 179; X + 1 / 2by + 5 is 1997
∴8x-2y+5=1997
∴4x-y=996
3mx-24n³y+4997
=-12x+3y+4997
=-3(4x-y)+4997
=-2998+4997
=1999



8-4 △ 2 & # 178; × 3 (mixed operation of rational numbers)


8+4/4*3=8+3=11



Given that a B is a rational number and (3-2 √ 3) &# 178; = a + B √ 3, find the square root of a + B


∵(3-2√3)²
=9-12√3+12
=21-12√3
∴a=21,b=-12
a+b=9
The square root of (a + b) is ± 3



Now we stipulate an operation: a * b = AB-1 / 2 (A & # 178; - b), where a and B are rational numbers, then the value of 3 * (- 1 / 6)


-27/41
The answer is this