Answer:
P43=4!(4–3)!=241=24
Step-by-step explanation:
There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.
This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:
P43=4!(4–3)!=241=24
(1, 1) and (4, -4)
Slope formula is : m = (y₂-y₁) / (x₂-x₁)
In this case :
x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4
Now that you know what variable counts as what, we simply just need to plug everything in.
m = (-4 - 1) / (4 - 1)
Simplify.
m = -5/3
Therefore, your slope is -5/3
~Hope I helped~ :)
Answer:
6 in = 80 miles
Step-by-step explanation:
Given that:
Distance between Capeton and Jonesville = 80 miles.
Map scale : 0.75 in = 10 miles ; this means 0.75 inches on the map represents 10 miles on land.
Hence, If ;
0.75 inches = 10 miles
x inches = 80 miles
Cross multiply :
10 * x = 80 * 0.75
10x = 60
10x / 10 = 60 / 10
x = 6 inches
Hence,
6 in = 80 miles
Answer:
90
Step-by-step explanation:
8*5 = 40
40 + 5 = 45
1/2 x = 45
x = 90
Answer: Option D
Step-by-step explanation:
The equation of a line in the form of "slope-interception" has the following form:
Where m is the slope of the line and b is the interception of the line with the y axis.
In this case we know that the line has a slope of -2. Then 
.
We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:
.
Finally the equation of the line will be:
If we add 2x on both sides of the equation we get:
The answer is the option D
