Answer: What is the distance formula is that it's the formula used in Mathematics such as Pre-Algebra, Algebra 1, Geometry, Algebra 2, Trigonometry, and Pre-Calculus, also Calculus to help you find the distance between 2 points in a coordinate plane or the length of a segment. How you do the distance formula is you subtract the 2nd x coordinate by the 1st one, next you add the 2nd y coordinate to the 1st one, then the answer you get you evaluate them using the exponent of 2, lastly you add that answer and square root the answer you get to the approximate or closest decimal or whole number.
To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction. If the answer is a negative value then the line is downhill in direction.
Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2
