Theodore solves the equation 4(x+p)=12, where p is a constant. He states that the solution to the equation is x=−5. Determine the value of p that makes Theodore's statement true and explain your reasoning.

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

You are assembling pieces of an iron gate to complete a fence. the finished gate will look like the one below. in order to assemble the gate it is important to under how the pieces are related. part 1: how are pies 1 and 2 in the archway related? part 2: how are the rectangular sections 5 and 6 in the center of the gate related to each other?

Drag the tiles to the table. the tiles can be used more than once. nd g(x) = 2x + 5 model a similar situation. find the values of f(x) and g(x) let's say that the functions f(x for the given values of x. fix)=5(4) * g(x) = 2x+5