Answer: y = -2x + 8
Step-by-step explanation:
To find the equation of the line , we will use the formula:
= 
From the question
= 1
= 3
= 6
= 2
substituting into the formula , we have
= 
=
cross multiplying , we have
2(y-6) = -4(x-1)
Expanding , we have
2y - 12 = -4x + 4
Adding 12 to both sides , we have
2y = -4x + 16
dividing through by 2 , we have
y = -2x + 8
Therefore , the equation of the line is given as
y = -2x + 8
Option 1. The equation tells us that line is going through the x-axis at (2,0) in a straight line.
We claim that the ratio of the areas is (3/2)^3=27/8, not just for these lengths, but also for every possible set of side-lengths x, y, and z.
To find the volume of the area of the original suitcase, multiply together x, y, and z to get xyz. The modified suitcase will have all these dimensions multiplied by 1 1/2, or 3/2, for a result of 3x/2*3y/x*3z/2=27xyz/8. The ratio is (27xyz/8)/(xyz)=27/8, as desired.
Note that we made no assumptions about the value of x, y, and z throughout the whole solution! Therefore, we can plug ANY side-lengths, including the problem's set (28, 16, 8) into this problem to achieve the same ratio.
Give him a toy or a treat or just some one on one attention
We are given equation c=50p.
c is the total cost and p is the number of people.
Let us take number of people by groups of 10, 20, 30,40 people.
Note: We can take any positive integer for number of people in a group.
Now, we need to plug p=10, 20, 30,40 one by one in given function c=50p to find the costs c.
Plugging p=10, we get
c= 50*10 = 500.
Plugging p=20, we get
c= 50*20 = 1000.
Plugging p=30, we get
c= 50*30 = 1500.
Plugging p=40, we get
c= 50*40 = 2000.
So, we can create a table as.
Number of people (p) Total cost (c)
--------------------------------------------------------------------
10 500
20 1000
30 1500
40 2000
