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4 years ago

|2x-5|=9 what is the positive and negative answer

Mathematics

1 answer:

irinina [24]4 years ago

6 0

Answer:

x = 7 or x = -2

Explanation:

|2x − 5| = 9 and |2x − 5| = -9

|2x − 5| = 9

Add 5 to both sides

2x - 5 + 5 = 9 + 5

Simplify

2x = 14

Divide both sides by 2

2x / 2 = 14 / 2

|2x − 5| = -9

Add 5 to both sides

2x - 5 + 5 = -9 + 5

Simplify

2x = -4

Divide both sides by 2

2x / 2 = -4 / 2

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3 years ago

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

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$\frac{dd}{dt} = -\frac{3}{18\pi}$

$\frac{dd}{dt} = -0.053$

The diameter decreases at a rate of 0.053 cm/min.

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3 years ago