Answer:
It is rigid
It is isometric
The size is preserved
Step-by-step explanation:
Given that Triangle ABC was translated to form A'B'C', then both triangles are congruent triangles.
A translation only moves the figure, preserving the size.
Because the size is preserved, it is a rigid transformation or isometric transformation.
As it's already graphed their inetresection point is solution for both functions
- Red one is g(x) as it's linear
- Other one is f(x) as it's modulus
The solution is (1,5)
It is the second function:
y=(1/2)^(x-3)
When x=0, the exponent is -3. (1/2)^-3 is 8.
y = 8+1 = 9
Answer: 3/8
Step-by-step explanation:
Since it is a fair coin, then generally, P(Head) = P(Tail) = ½
And since we've been asked to find the probability that the number of heads in the first two tosses be equal to the number of heads in the second two tosses, tossing a fair coin four times, the possible outcomes of having equal number of heads in first two tosses and second two tosses becomes:
[HHHH] or [HTHT] or [THTH] or [TTTT] or [HTTH] or [THHT]
=[½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½]
=1/16 * 6
=6/16
=3/8.
17/8 -11/3
51/24-88/24
-37/24 simplified is -1 13/24