(a) Since the segments AN and RI are parallel, the corresponding angles TAN and TRI are equal, and the corresponding angles TNA and TIR are equal. Angle ATN is obviously equal to angle RTI. With three matching angles, triangle TAN ~ triangle TRI
<span>(b) Since AN is parallel to RI, the ratio AR/AT is equal to NI/TN. Thus, 2/8 = NI/12, NI = 3 cm</span>
Answer:
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward
The vertex is a maximum
Remember that
The x-intercept is the value of x when the value of y is equal to zero
The x-intercepts of the equation are
(0,0) and (8,0)
therefore
The greatest x-intercept is the point (8,0)
see the attached figure
Remember that x represent the length of the box
therefore
The greatest x-intercept of the graph of this polynomial equals to
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
There is no answer for axis of symmetry
But I have the answer for (x-intercept) X= -4/5 (y-intercept) F(0)=16