Answer:
-3/4 -8/9
take LCM
<u>-3*9-8*4</u>
36
<u>-27 -32</u>
36
-59/36
Step-by-step explanation:
Hi there,
Properties of Equality is two equations that have the same solution which are called equivalent equations. For example: 5+3=2+6 which all equal to 8.
In geometry, properties of Equality are the reflexive (2x=2x, a=a, b+1=b+1), symmetric (2a=3b then 3b=2a) and transitive property (if a+1=3 and 3=1-b, then a+1=1-b)
Hope this helped :)
Have a great day
Answer:

Step-by-step explanation:
The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.
In this case, I will use (-3 , 1) & (0 , 0)
Use the following equation. m = slope:

Let:

Plug in the corresponding numbers to the corresponding variables:

Your answer will be:

For <span>12/15=47/50, we multiply 12/15 by (1/3)/(1/3) to get 4/5. For 47/50, we multiply it by (1/10)/(1/10) to get the same denominator and 4/7/5. They are not equal.
For 16/36 and 12/27, we'll notice that 36 and 27 are both multiples of 9, so we need to get that as the denominator! Multiply 16/36 by (1/4)/(1/4) because 9 goes into 36 4 times and 12/27 by (1/3)/(1/3) due to that 27 goes into 9 3 times, we get 4/9=4/9 - these are equal!
I challenge you to get the rest of them on your own using my techniques!</span>
Answer:
Indefinite integration acts as a tool to solve many physical problems.
There are many type of problems that require an indefinite integral to solve.
Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.
As an example consider the following example:
Suppose that we need to calculate the total force on a object placed in a non- uniform field.
As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by

Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.
But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by

Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown

Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.