Answer:
Step-by-step explanation:
Given
there are six integers to win a lottery
case-1 Integer not exceeding 40
no of ways to choose 6 incorrect numbers


Case-2 no of ways to choose 6 incorrect numbers out of 48 integers


Case-3 no of ways to choose 6 incorrect numbers out of 56 integers


Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers


Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

On comparing both sides, we get




And,




Therefore, the coordinates of point B are (7,-3).
Answer:
slope is equal to rise (going up or down on graph) over run (going left or right)
Step-by-step explanation:
1 = - 
2=
= 2
3. 
4. -
5.
= 
6. -
= - 
Answer:
23, 25
Step-by-step explanation:
let the first number be represented as A, since there are two odd numbers, the second number would be A + 2
A + A+2 = 48
2A + 2 = 48
2A = 48 - 2
2A = 46 ( divide both sides by 2)
A = 23
since we know the next number to be A + 2
= 23 + 2 = 25
the two numbers are 23 and 25
Since it takes one hour to fly 230 miles, and we are looking for the number of hours, we can divide the number of miles we are given by the speed. In this case, we would divide 1380 by 230 to get 6. This means it would take 6 hours for the plane to fly 1380 miles.