Answer:
4(b-6)=b^2
Step-by-step explanation:
The difference would mean that it is subtraction and you multiply that difference by 4 and set it equal to b squared
Answer:
3.14
Step-by-step explanation:
Area of a corcle is sexpressed as';
A = πr²
π = A/r²
π = 78.54/5²
π = 78.54/25
π = 3.1416
When the area is divided by radius the required constant is 3.14
Answer:
75cm
Step-by-step explanation:
Well, I can't see a photo, so I'll have to assume that the description provides enough info.
10cm/2km = x/15km,
where x is the distance on the map (in centimeters) of a real-life distance of 15 kilometers.
10cm/2km = x/15km
10/2 = 5/1
This means we have to multiply 5 by 15 to find x.
x = 5 · 15
x = 75
Let's plug the new value back in...
10cm/2km = x/15km
10cm/2km = (75cm)/15km
<em>(Simplify each side to its simplest form)</em>
10cm/2km = 75cm/15km
5/1 = 5/1
It works! So x = 75cm.
Hope this helps! :)
Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
Twelve and three hundred seveny-five
