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3 years ago

The lines given by the equations y=2x and y=4x+1 are

Mathematics

2 answers:

pentagon [3]3 years ago

5 0

Answer:

The lines given are neither perpendicular nor are they parallel.

Step-by-step explanation:

In order for two lines to be be parallel, they must have the same slope but different y-intercepts. In order for two lines to be perpendicular, one line has to have a slope that is the negative reciprocal of the other line.

We are given two line equations.

y = 2x

y = 4x + 1

These lines do not represent a perpendicular situation nor do they represent a parallel situation.

Sav [38]3 years ago

4 0

Answer:

Step-by-step explanation:

For lines to be parallel, their slopes need to be the same.

For lines to be perpendicular, the product of their slopes needs to be -1.

None of these conditions are met since the slopes are 2 and 4 respectively.

Sooo.... The answer must be A! :)

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The amount of kerosene and gasoline produced is an illustration of equations.

<em>44.4 million barrels of gasoline and kerosene are produced</em>

Let

<em /> $x \to$ <em> Proportion of kerosene</em>

<em /> $y \to$ <em> Proportion of Gasoline</em>

<em />

So:

$x = 40\%$

$y = 34\%$

$Total = 60\ million$ ---- total barrels produced

The amount of Kerosene produced is:

$Kerosene =x \times Total$

$Kerosene =40\% \times 60\ million$

$Kerosene = 24\ million$

The amount of Gasoline produced is:

$Gasoline =y \times Total$

$Gasoline =34\% \times 60\ million$

$Gasoline =20.4\ million$

So, the total production of both is:

$Total = Kerosene + Gasolene$

$Total = 24\ million + 20.4\ million$

$Total = 44.4 million$

<em>Hence, 44.4 million barrels of gasoline and kerosene are produced</em>