A rectangular piece of metal is 30in longer than it is wide. Squares with sides
6 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 2706 in3, what were the original dimensions of the piece of metal?
Enter the correct answer that completes the sentence below.
The point (5, enter your response here) lies on the graph of the equation y=4x−17.
The distance from the origin to the point (−5,12) is enter your response here. (Simplify your answer.)
For the point P(10,3) and Q(17,8), find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ. What is the distance? enter your response here
For the points P and Q do the following.
(a) Find
the distance d(P,Q).
(b) Find the coordinates of the midpoint M of the segment PQ.
P(3sqrt(3,) 7sqrt(5)),Q(sqrt(3,)-sqrt(5))
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (8,−11), endpoint (0,−13)
The function y=4x−8 includes the ordered pair (6, __ ).
Let f={(−2,4), (6,7), (0,5), (3,3)}. Find (a) f(3) and (b) f(6).
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