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2 years ago

The length and width of a rectangle are

Mathematics

2 answers:

uysha [10]2 years ago

5 0

Answer:

y=6

Step-by-step explanation:

(2y-3)*2=4y-6

You multiply by two because there are two sides that are considered the length

y+1*2=2y+2

Same thing here

4y-6+2y+2=32

6y-4=32

+4. +4

6y=36

/6 /6

y=6

cluponka [151]2 years ago

3 0

Y= 6.33!!

you’re welcome

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“encontrar la integral indefinida y verificar el resultado mediante derivación”

Oliga [24]

$I=\displaystyle\int\frac x{(1-x^2)^3}\,\mathrm dx$

Haz la sustitución:

$y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx$

$\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{y^3}=\frac1{4y^2}+C=\frac1{4(1-x^2)^2}+C$

Para confirmar el resultado:

$\dfrac{\mathrm dI}{\mathrm dx}=\dfrac14\left(-\dfrac{2(-2x)}{(1-x^2)^3}\right)=\dfrac x{(1-x^2)^3}$

$I=\displaystyle\int\frac{x^2}{(1+x^3)^2}\,\mathrm dx$

Sustituye:

$y=1+x^3\implies\mathrm dy=3x^2\,\mathrm dx$

$\implies I=\displaystyle\frac13\int\frac{\mathrm dy}{y^2}=-\frac1{3y}+C=-\frac1{3(1+x^3)}+C$

(Te dejaré confirmar por ti mismo.)

$I=\displaystyle\int\frac x{\sqrt{1-x^2}}\,\mathrm dx$

Sustituye:

$y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx$

$\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{\sqrt y}=-\frac12(2\sqrt y)+C=-\sqrt{1-x^2}+C$

$I=\displaystyle\int\left(1+\frac1t\right)^3\frac{\mathrm dt}{t^2}$

Sustituye:

$u=1+\dfrac1t\implies\mathrm du=-\dfrac{\mathrm dt}{t^2}$

$\implies I=-\displaystyle\int u^3\,\mathrm du=-\frac{u^4}4+C=-\frac{\left(1+\frac1t\right)^4}4+C$

Podemos hacer que esto se vea un poco mejor:

$\left(1+\dfrac1t\right)^4=\left(\dfrac{t+1}t\right)^4=\dfrac{(t+1)^4}{t^4}$

$\implies I=-\dfrac{(t+1)^4}{4t^4}+C$

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2 years ago

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choli [55]

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Step-by-step explanation: There are 2.5 cm per in, so its just 2.5*2

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2 years ago

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Airida [17]

Answer:

Step-by-step explanation:

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2 years ago

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Patrick has thirty cookies and he gives 4 to Mary and 8 to Louie. How many cookies does Patrick have now ?

KIM [24]

He has 30 and gets rid of 4 so 26 cookies then gets rid of 8 more, so then 18 cookies left.

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The cost of a banquet can be calculated using the function

kotykmax [81]

Answer:

3 people attended the banquet

Step-by-step explanation:

The function is given as:

b = 75 + 15n where

b represents the total = 122

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122 = 75 + 15n

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Therefore, 3 people attended the banquet.

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2 years ago