Answer:
The dimensions of constant C are of ![[L^{3}T]^{-4}](https://tex.z-dn.net/?f=%5BL%5E%7B3%7DT%5D%5E%7B-4%7D)
Step-by-step explanation:
It is given that
Since the dimensions of volume are ![[L^{3}]](https://tex.z-dn.net/?f=%5BL%5E%7B3%7D%5D)
Each of the term shall have a dimension of since they are in addition.
Thus for third term we can write
Thus we have
![[L^{3}]=[C][T^{4}]\\\\\therefore [C]=[L^{3}][T^{-4}]](https://tex.z-dn.net/?f=%5BL%5E%7B3%7D%5D%3D%5BC%5D%5BT%5E%7B4%7D%5D%5C%5C%5C%5C%5Ctherefore%20%5BC%5D%3D%5BL%5E%7B3%7D%5D%5BT%5E%7B-4%7D%5D)
To determine whether Keisha will be able to finish reading the book in 10 days, establish first the point-slope form of the scenario.
If we let y be the number of pages in a book and x be the number of days the slope-intercept form is as follows:
y = 25x
To determine the value of x if y is equal to 325,
325 = (25)(x)
x = 325/25
x = 13
Since the value of x is greater than 10 then, Keisha will not be able to finish reading the book.
The perimeter of any shape is a measure of the length of the peripheral of that shape.
For a triangle, it is an addition of the length of the 3 sides.
P = a + b + c where a, b, c are the lengths of the individual sides.
p = 10x + 5y = (3x + 4y) + (5x - y) + c
Collecting like terms on the RHS, we have
p = 10x + 5y = 8x + 3y + c
Subtracting 8x + 3y from both sides to give c leaves us with
10x + 5y - (8x + 3y) = c
c = 10x - 8x + 5y - 3y
c = 2x + 2y
