Tell whether x and y show direct variation. Explain your reasoning. x=y+2

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

It does not show variation

Step-by-step explanation:

Given

$x = y + 2$

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

$y = kx$

Make y the subject of formula in the given parameters;

$x = y + 2$

$y = x - 2$

Compare $y = x - 2$ to $y = kx$

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

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If Bill was traveling v mi/h, how would you represent Daemon's speed in mi/h if he was traveling 45 mi/h faster?

VikaD [51]

The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities

Daemon's speed is (v + 45) mi/h

The reason the above value for Daemon's speed is correct is as follows:

The known parameters are;

The speed with which Bill was travelling = v mi/h

The speed with which Daemon was travelling = 45 mi/h faster than Bill

Method:

By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed

To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;

Solution:

Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h

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3 years ago

Suppose the length of each side of a

Ilya [14]

Answer:

The original side length of the square was 9 ft

Step-by-step explanation:

Consider that the square was initially of side length "x" (our unknown). Then the sides were all increased by 5 ft, and now the perimeter (addition of all four sides) of the square render 56 ft.

Let's write an equation that represents the addition of the four sides of this new rectangle, and set it equal to 56 ft. Then solve for the unknown "x":

$(x+5)+(x+5)+(x+5)+(x+5)=56\\x+x+x+x+5+5+5+5=56\\4x+20=56\\4x=56-20\\4x=36\\x=9$