4 1/2 + 3 3/4 = 4 2/4 + 3 3/4 = 7 5/4 = 8 1/4...what he needs for A and B
He used 12 inches of cable...
12 - 8 1/4 = 11 4/4 - 8 1/4 = 3 3/4....length left after A and B are made
he doesn't have enough to make the last one...
5 1/8 - 3 3/4 = 41/8 - 15/4 = 41/8 - 30/8 = 11/8 = 1 3/8....he is short by 1 3/8 inches
Answer:
a
Step-by-step explanation:
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:
The co-ordinates of Q' is (5,2).
Step-by-step explanation:
Given:
Pre-image point
Q(-7,-6)
To find Image point Q' after following translation.
Solution:
Translation rules:
Horizontal shift:
when 
the point is translated 
units to the right.
when 
the point is translated units to the left.
Vertical shift:
when the point is translated units up.
when the point is translated units down.
Given translation shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'=
So, the co-ordinates of Q' is (5,2). (Answer)
