Answer: y= 2x -1
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts. In this case, we will just need to find the y-intercept for the line that is parallel to y=2x - 4.
To find the y intercept, we will need the point (1,1) by plotting in the x and y coordinate into the y intercept formula y=mx +b. m is the slope which will be 2 and b will be the y-intercept.
1 = 2(1) + b
1 = 2 + b
-2 -2
b = -1
The equation will be y= 2x -1
Answer:
Ducks = 8
Horses = 17
Step-by-step explanation:
From the question;
- Total number of animals = 25
- Total number of legs = 84 legs
We are required to determine the number of ducks and horses;
We need to know that;
A duck has two legs while a horse has four legs;
Assuming there were x ducks and y horses
Then;
x + y = 25 ................................Eqn 1
And;
2x + 4y = 84 .............................Eqn 2
Solving the two equations simultaneously we can get the number of each animal.
x + y = 25
2x + 4y = 84
Multiplying the first equation by 2, we get
2x + 2y = 50
2x + 4y = 84
Subtracting the two equations;
2x + 2y = 50
2x + 4y = 84
........................................................
- 2y = -34
y = 17
Solving for x
x = 25 -17
= 8
Therefore; there were 8 ducks and 17 horses in the field
Well if he owes $45 and has 5 friends offering, you would just need to divide. So 45/5 is 9. So each of his friends owe $9. Or if he and his friends are paying/splitting it then it would be 45/6 which is 7.5, so he and his friends would all owe $7.50. But I don’t know if he and friends are paying or just friends. Hope this helps
If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.