Find the midpoint of the segment between the points (1, 1) and (4, -16)

The midpoint is (5/2, -15/2)

Step-by-step explanation:

The x coordinate of the midpoint is the average of the x coordinates

(1+4)/2 = 5/2

The y coordinate of the midpoint is the average of the x coordinates

(1+-16)/2 = -15/2

The midpoint is (5/2, -15/2)

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: