Answer:
The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer
Step-by-step explanation:
* Lets explain how to sole the problem
- Proportional relationship describes a simple relation between
two variables
- In direct proportion if one variable increases, then the other variable
increases and if one variable decreases, then the other variable
decreases
- In inverse proportion if one variable increases, then the other variable
decreases and if one variable decreases, then the other variable
increases
- The ratio between the two variables is always constant
- Ex: If x and y are in direct proportion, then x = ky, where k
is constant
If x and y in inverse proportion, then x = k/y, where k is constant
* Lets solve the problem
# Last table
∵ x = 3 and y = 6
∴ x/y = 3/6 = 1/2
∵ x = 5 and y = 10
∴ x/y = 5/10 = 1/2
∵ 1/2 is constant
∵ x/y = constant
∴ x and y are proportion
* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship
Answer:
(a) The general solution of given differential equation is
.
(b) The unique solution is
.
Step-by-step explanation:
(a)
The given differential equation is

Use variable separable method, to solve the above differential equation.
Separate the variables.

Integrate both sides.


The general solution of given differential equation is
.
(b)
The given differential equation is

Use variable separable method, to solve the above differential equation.
Separate the variables.

Integrate both sides.

... (1)
It is given that y=1 at t=3. Substitute y=1 and t=3 in the above equation.



Substitute
in equation (1).

Therefore the unique solution is
.
Answer:
x^2 - 5
Step-by-step explanation:
x = -1, y = 1 - 5 = -4.
x = 0, y = 0-5 = -5.
x = 1, y = 1 - 5 = -4.
In the first graph it’s graphed to be nearest 10
Answer:
Step-by-step explanation:
Angle 5 is opposite to 37 => It's equal to 37.
Angle 6 and 7 are supplementary to angle 5 => They are equal to 180 - 37 = 143 each.
Angle 4 is corresponding to Angle 7, and since the 2 lines are parallel, it's equal to 143.
Angle 1 and 3 is supplementary to Angle 4, so they are equal to 180-143 = 37 each
Angle 2 is opposite to Angle 4, so it's equal to 143.
Answer : Angle 1,3,5 = 37
Angle 2,4,6,7 = 143