help with math due in 24 hours

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Arectangularpiece.docx

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(3\sqrt(3,) 7\sqrt(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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A graphing function on a graph  Description automatically generated

A graph of a function  Description automatically generated

A graph of a function  Description automatically generated

A graph of a function  Description automatically generated

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