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atroni [7]
3 years ago
13

What is the most efficient first step to isolate the variable term on one side of this equation? -9x = -4x + 5 A. Subtract 5 fro

m both sides. B. Add 5 to both sides. C. Subtract 9x from both sides. D. Add 4x to both sides.
Mathematics
2 answers:
ehidna [41]3 years ago
6 0

<u>Answer</u>

D. Add 4x to both sides.


<u>Explanation</u>

-9x = -4x + 5

On the right hand side we have -4x. We have to add 4x on both sides to have;

-9x + 4x= -4x + 5 + 4x          

(-4x + 4x = 0)

(-9x + 4x = -5x)

∴ -5x = 5

PSYCHO15rus [73]3 years ago
3 0

For this case we have the following equation:

-9x = -4x + 5

We want to clear x:

For this we must follow a series of steps, the first consists of adding 4x to both sides of the equation to obtain:

-9x + 4x = -4x + 4x + 5\\-5x = 5

In this way, the variable term remains on one side of the equation.

Thus, the first step will be:

Add 4x to both sides

Answer:

Option D


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miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid.  When we rotate it about x = 1, we get a hollow cylinder shape.  We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part.  If we use shell method, we only need one integral.  So let's use shell method.

Cut a thin, vertical slice of the region.  The width of this slice is dx.  The height of the slice is y₂ − y₁ = x − 0 = x.  The radius of the shell is x − 1.

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V = ∫ dV

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V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

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V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

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The volume is approximately 381.18 cubic units.

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2 years ago
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Step-by-step explanation:

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