Answer:
x = 16
y = -24
Step-by-step explanation:
Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.
So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.
Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.
Therefore, the matrix resultant from this addition is: [16 -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.
Answer: A is the answer
Explanation: A plane consist of 3 point but it can also be called by one specific point. And in the figure A there is one specific point. We can call it plane A
The midsegment theorem says that the midsegment is half the third side and parallel as well. 20*2 is 40 so x = 35
The perimeter, by definition, is the outside measure of that figure. MN and LM are the same length and LK and NK are the same length....we just need to find the lengths! Use the distance formula to find the distance between the 2 points:

For the segment MN, use the coordinates of M as your x1, y1, and use the coordinates of N for x2, y2:

which simplifies to

which is

So that is the length of both MN and LM. So far our perimeter is

Now let's use the same formula to find out the length of one of the longer segments:

which simplifies down to

which is of course

Since we have 2 of those lengths,

So our perimeter is, in the end,

That's the third choice down