Answer:
y = -5x + 9
Step-by-step explanation:
We know each animal has one head. But a chicken has 2 legs and a pig has 4 legs. Set up a system of equations.
2x+4y=100 (where x is the number of chickens and y is the number of pigs)
x+y=30
You can do the solving work (because is looks really messy in paragraph form) but if you solve for x in the bottom equation you get -y+30. Now plug in (-y+30) in for x in your top equation and solve for y to get 20. Since you know that x = -y+30, plug in 20. x=-20+30 simplifies to x=10.
x (number of chickens) = 10
y (number of pigs) = 20
I hope this helps your solving systems of equations.
Answer:
476 feet
Step-by-step explanation:
The given problem when graphically depicted forms a right triangle which has been attached below.
We want to determine the distance between Runner A and Runner B in the diagram.
Using Trigonometric Ratios
In Right Triangle AHC
In Right Triangle BHC
The distance between the two runners,
AB=AC-BC
=2175.9-1700
=475.9
=476 feet ( to the nearest foot)
Answer:
Therefore the complete primitive is
Therefore the general solution is
Step-by-step explanation:
Given Differential equation is
<h3>
Method of variation of parameters:</h3>
Let be a trial solution.
and
Then the auxiliary equation is
∴The complementary function is
To find P.I
First we show that and are linearly independent solution.
Let and
The Wronskian of and is
≠ 0
∴ and are linearly independent.
Let the particular solution is
Then,
Choose and such that
.......(1)
So that
Now
.......(2)
Solving (1) and (2) we get
and
Hence
and
Therefore
Therefore the complete primitive is
<h3>
Undermined coefficients:</h3>
∴The complementary function is
The particular solution is
Then,
and
Therefore the general solution is
Answer: A
Step-by-step explanation:
They have one solution because as you look at the lines they have different slopes and different y intercepts which means it has one solution.It is not parallel to each other to have no solutions. They seems to be going to one direction and eventually they will intersect.