The answer is E. The average rate of change of a function is f(b) - f(a) divided by (b - a). if you use the interval from answer E, you get f(1)-f(-5)divided by (1+5). plugging those numbers into the equation gets you to 4-16/6 which is -12/6 which equals -2
People moved to the cities to escape war. Some people had left the countryside to work in the arms industry and some had left for Rome looking for subsistence. Rome became the most populous city in Europe and West Asia.
Sample space: tails/tails,tails/head,head/tails, head/head.
(the slash divides the first toss and the second toss)
P(head,head)=1/4
P(not tail,tail)=1-1/4=3/4
the probability is not the same.
Answer: △DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.
Explanation:
1) Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.
2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:
Preimage Image
D (-3, -1) D' (-3, 1)
E (2, -4) E' (2, 4)
F (4, -4) F' (4, 4)
As you see when the image is formed, the coordinate x of the image is kept, and the coordinate y is negated. This rule is (x, y) → (x, - y), which is the rigid transformation reflection across the x-axis.
Ok so for number one shade one half