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2 years ago

If the length of a rectangle is 5y-7 and the width is 3y,represent the area of the rectangle

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

8 0

Answer:

15y^2 - 21y

Step-by-step explanation:

A = LW

A = (5y - 7)(3y)

A = 15y^2 - 21y

KATRIN_1 [288]2 years ago

8 0

Answer:

A = 15y² - 21y

Step-by-step explanation:

3y(5y - 7)

15y² - 21y

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Hunter-Best [27]

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Now:

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$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

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3 years ago

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solniwko [45]

Answer:

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Step-by-step explanation:

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