What is an equation of the line that passes through the point (4, -6) and has a slope of -3
1 answer:
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We have been given a parent function and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to .
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes .
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
To solve this, we have to find the volume of the cylinder first. The formula to be used is 
Given:V= ?r= 6cmh= 10cm
Solution:
V= (3.14)(6cm)
x 10cmV= (3.14)(
) x 10cmV= (
) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.
Given:V= ?r= 6cmh= 10cm
Solution:
V= (3.14)(6cm)
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.