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2 answers:
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We know for our problem that the zeroes of our quadratic equation are 
and 
, which means that the solutions for our equation are 
and 
. We are going to use those solutions to express our quadratic equation in the form 
; to do that we will use the <span>zero factor property in reverse:
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form, we can infer that 
and 
; therefore, we can conclude that 
.
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form
Answer:
2412 mm³
Step-by-step explanation:
In the figure attached, the composite figure is shown.
Dimension of top rectangular prism:
- length of 13 millimeters
- width of 12 millimeters
- height of 12 millimeters
Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³
Dimension of bottom rectangular prism:
- length of 15 millimeters
- width of 12 millimeters
- height of 3 millimeters
Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³
Volume of the composite figure: 1872 + 540 = 2412 mm³
