Answer the question appropriately.Given an equilateral triangle ABC, explain how to construct an altitude form vertex A.
What will be an ideal response?
Construct a perpendicular from vertex A to the line 
at point D. 
is the altitude from vertex A.
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Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the first-quadrant portion of the circle
if the density of the rod is 
A. 
= 
?, 
= 
?
B. 
= 
?, 
= 
?
C. 
= 6?, 
= 6?
D. 
= 0, 
= 
?
Graph.5x2 + 25y2 = 225 
A. 
B. 
C. 
D. 
The problem tells how many units and in what direction the graph of the given equation is to be shifted. Give an equation for the shifted graph. Then sketch the original graph with a dashed line and the shifted graph with a solid line.y = - 
Left 4
A. y = 
B. y = 
+ 4
C. y = 
D. y = 
- 4
The management of UNICO Department Store decides to enclose an 
area outside their building to display potted plants. The enclosed area will be a rectangle, one side of which is provided by the external walls of the store. Two sides of the enclosure will be made of pine board, and the fourth side will be made of galvanized steel fencing material. If the pine board fencing costs $15/running foot and the steel fencing costs $5/running foot, determine
the dimensions of the enclosure that will cost the least to erect. Round your answers to two decimal places.
?
?
A. 14.31 ft by 84.68 ft
B. 12.13 ft by 86.86 ft
C. 14.14 ft by 84.85 ft
D. 15.68 ft by 83.31 ft