Answer:
a) ΔF'G'H' is the image of ΔFGH
b)Center of dilation (7,-1)
c) Scale factor: 
Step-by-step explanation:
Question a
Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.
Question B.
To find the center of dilation, draw straight lines through any two corresponding points.
The straight lines will meet at (7,-1).
This is called the center of dilation.
See graph in attachment.
Question c
The scale factor of the dilation is given by;
24q^2 / 8q^-3
lets break this down...
24/8 = 3
q^2 / q^-3....when dividing exponents with the same base, keep the base and subtract the exponents. q^2 / q^-3 = q^(2 -(-3) = q^(2 + 3) = q^5
put them together and u get : 3q^5
Answer:
A negative 2’s complement number is even precisely when its last digit is 0 as well.
Step-by-step explanation:
Proof part 1: Assume there exists a 2’s complement negative even number which ends with 1. We can, therefore, express this number as
1 ..... 1 = - (2’s complement of 1 ....1)
= - (0 ... 1 )
≠ even
Since we know precisely that a positive binary number is not even when it ends with a 1. This is a conflict with our assumption. Our assumption is, therefore, wrong.
Proof part 2: Assume there exists a 2’s complement negative odd number which ends with 0. We can, therefore, express this number as
1 ..... 0 = - (2’s complement of 1 ....0)
= - (0 ... 0 )
= even
Since we know precisely that a positive binary number is even when it ends with a 0. This is a conflict with our assumption. Our assumption is, therefore, wrong.
