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Изобразите прямоугольник , одна из сторон которого на 3.5 см больше другой, а длина диогонали 6.5 см.

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bike-garage8
Пусть первая сторона х см, тогда вторая сторона (х+3,5) см.
Диагональ прямоугольника делит его на два равных прямоугольных треугольника. По теореме Пифагора найдём катеты.
x^2+(x+3,5)^2=6,5^2 \\ x^2+x^2+7x+12,25=42,25 \\ 2x^2+7x-30=0 \\ D=49+240=289 \\ x_1= \frac{-7+17}{4} = \frac{10}{4} =2,5
x_2= \frac{-7-17}{4} = \frac{-24}{4} =-6 не удовлетворяет условию

Если первая сторона 2,5 см, то вторая сторона 2,5+3,5=6 см

Изобразите прямоугольник , одна из сторон которого на 3.5 см больше другой,а длина диогонали 6.5 см.
Anton661

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Must Waste More Time...

tanyashevvvv

12 км/час

Объяснение:

Моторная лодка за 8 часов проплыла 45 км против течения и вернулась обратно. Найди скорость моторной лодки в стоячей воде, если скорость течения реки равна 3 км/час.

Скорость моторной лодки в стоячей воде v км/час

Скорость моторной лодки против течения (v-3) км/час

Скорость моторной лодки по течению (v+3) км/час

Время затраченное на путь против течения 45/(x-3) час

Время затраченное на путь по течению 45/(x+3) час

45/(x-3)+45/(x+3)=8

(x-3)(x+3)(45/(x-3)+45/(x+3))=8(x-3)(x+3)

45(x+3)+45(x-3)=8(x²-9)

45x+135+45x-135=8x²-72

8x²-90x-72=0

4x²-45x-36=0

D=2025+576=2601=51²

x₁=(45-51)/8=-3/4<0

x₂=(45+51)/8=12 км/час

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Изобразите прямоугольник , одна из сторон которого на 3.5 см больше другой, а длина диогонали 6.5 см.
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