Answer:
See attachment
Step-by-step explanation:
The given parametric equations are;
and , .
We can graph this by plotting some few points within the given range or eliminate the parameter to identify the type of curve.
Plotting points;
When ,
and
This gives the point (-4,3).
When
and
This gives the point (0,5).
When
and
This gives the point (6,8).
We plot these points and draw a straight line through them.
Eliminating the parameter.
Make t the subject in the second equation;
Substitute into the first equation;
This implies that;
This is an equation of a straight line with slope and y-intercept 5 on the interval
This is called a line <-------------------->. Hope it helps!
The required volume of the prism is 48 cubic centimeters
<h3>Volume of a prism. </h3>
The formula for calculating the volume of a prism is expressed as:
V = lwh
where l is the side length
w is the width
h is the height
Given the following
l = 2 cm.
Height 2cm
Width 12 cm
Substitute
V = 2(2)(12)
V = 48 cubic centimeters
Hence the required volume of the prism is 48 cubic centimeters
Learn more on volume of prism here: brainly.com/question/23766958
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