Answer: 9
Step-by-step explanation: pentagon has 5 sides so divide 45 by 5
Answer:
x = 1/2 or 2
Step-by-step explanation:
You can factor this as ...
2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring
2x(x -2) -1(x -2) = 0 . . . . factor by grouping
(2x -1)(x -2) = 0 . . . . factor out (x -2)
x = 1/2, 2 . . . . . . values of x that make the factors zero
For this case we have that the original vertex is given by:
P = (4, -5)
We apply the following transformation:
(x, y) (-x, y)
We have then:
(4, -5) (- (4), -5) (- 4, -5)
Therefore, we have a reflection on the y axis.
The point obtained is the vertice:
P '= (-4, -5)
Answer:
the line of reflection is:
the y-axis
Answer:


An we can use the normal standard table and the following difference and we got this result:

Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
represent the mean
represent the deviation
We have a sample size of n = 54 and we want to find this probability:

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

And we can use the z score formula given by:

And replacing we got:


An we can use the normal standard table and the following difference and we got this result:

(1) let "r" denote number of rabbits, "c" number of chickens
Set up the equations:

Answer: There are 575 rabbits and 425 chickens
(2) m - number of Mike's stamps, a - number of Andrew's stamps.
Set up equations:

Answer: Mike has 48 stamps. Andrew has 12 stamps.