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Answer:
see below
Step-by-step explanation:
The conversion factor in the box is the product ...
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The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.
Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).
To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.
When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.
Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For ,
For ,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .