Answer:
1q
Step-by-step explanation:
The values that completes the table are 28, 9, 33, 32 and -3
<h3>Tables and values.</h3>
Tables are used to represents the dependent and independent variable of a function. They are used to formulate function.
From the given table, we are to think of any dependent value and subtract 3 from it to get the equivalent independent value.
From the third column;
a3-3 = 25
a3 = 25 + 3
a3 = 28
For the fourth column
a4 = 12 - 3
a4 = 9
For the fifth column
a5-3 = 30
a5 = 30 + 3
a5 = 33
For the sixth column
a6-3 = 29
a6 = 29 + 3
a6 = 32
For the seventh column
0-3 = a7a
a7 = 0 - 3
a7 = -3
Hence the values that completes the table are 28, 9, 33, 32 and -3
Learn more on table and function here; brainly.com/question/3632175
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Answer:
The correct option is 4.
4) Doing two distance formulas to show that adjacent sides are not the same length.
Step-by-step explanation:
Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.
We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.
However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
