Answer:
Domain: [-3, 1]
Step-by-step explanation:
Doman is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -3 to 1. Since both have no holes, they are included in our domain:
[-3, 1] or -3 ≤ x ≤ 1
Short Answer: 1.5
Givens
OA = 12
OB = 9
O does not lie on AB
Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right.
Mark your distances as follows.
OB = 9
BA = 3
Mark the midpoint of OA = M1
Mark the midpoint of OB = M2
M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5
The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2 = 1.5 <<<<
Nice problem: Thanks for posting.
Take the first point (2, 4) a scale factor of 3/2 will move the x coordinate 2 to 2*3/2 = 3 and the y coordinate 4 will be moved to 4*3/2 = 6.
So the image of ( 2, 4) will be ( 3, 6) TH other verices will move in the same fashion.
Let the consecutive integers be x and x+1.
Then,
x + (x + 1) = 23
=> x + x + 1 = 23
=> 2x + 1 = 23
=> 2x = 23 - 1
=> 2x = 22
=> x = 22/2
=> x = 11
So, the integers are:
x = 11
and x + 1 = 11 + 1 = 12
So, the consecutive integers are 11 and 12.
