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3 years ago

Rearrange the equation so xxx is the independent variable. 6x+y=4x+11y6x+y=4x+11y

Mathematics

2 answers:

ANEK [815]3 years ago

5 0

Answer:

$y = \frac{1}{5} \cdot x$

Step-by-step explanation:

The following equation is rearranged by some algebraic handling:

$6\cdot x + y = 4\cdot x + 11\cdot y$

$2\cdot x = 10\cdot y$

$\frac{1}{5}\cdot x = y$

$y = \frac{1}{5} \cdot x$

slava [35]3 years ago

4 0

Answer:

10x=10y so x and y are the same or x=y

Step-by-step explanation:

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3 years ago

An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its

serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment, $V = (x+2)x(x-1) = x^3 + x^2 - 2x$

But, the volume of the compartment must be 8 cubic meters.

⇒ $x^3 + x^2 - 2x = 8$

⇒ $x^3 + x^2 - 2x - 8=0$

⇒ $(x-2)(x^2+3x+4)=0$

If $x-2=0\implies x = 2$ and if $x^2+3x+4=0\implies x = \text{complex number}$

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

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And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

$V(x) = x^3 + x^2 - 2x$

When we lot the graph of that function we found,

V(x) is maximum for infinite.

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8 0

3 years ago

Read 2 more answers

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3 years ago

What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?

Gwar [14]

Answer:

Step-by-step explanation:

First, find the slope by using change in y divided by change in x.

Change in y = 5 - 2 = 3

Change in x = 2 - 1 = 1

This means that the slope is 3/1 = 3.

Then, you put it in the point-slope form so:

(y - 2) = 3(x - 1)

3 0

3 years ago

Determine whether the forces are pulling at right angles to each other. Explain. 3.5 lb, 6.2 lb, resultant force 9.1 lb

8_murik_8 [283]

The resultant force in this item, is that which connects the heads of the magnitude of the given vectors. The magnitude of the resultant force can be calculated through the Pythagorean theorem which states that the square of the resultant force should be equal to the sum of the squares of the smaller forces. That is,
A² + B² = C²

Investigating the vector values,
A² + B² = (3.5 lb)² + (6.2 lb)² = 50.69 lb²
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Since the Pythagorean theorem is not satisfied by the given set of forces then, the forces are not in right angle.

The answer to the question is letter C.

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3 years ago