Answer:
see explanation
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the measure of a side of the square )
Here s = x + 2 and A = 7, thus
(x + 2)² = 7 ← expand left side using FOIL
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
Answer:
<em>b = 5</em>
Step-by-step explanation:
QUESTION A
The given points are
and 
The slope can be found using the formula;
We substitute the point to obtain;
This simplifies to
Therefore the slope is 5.
QUESTION 2
A positive slope indicates a rising line
A negative slope indicates a rising line
A zero slope means the line is horizontal.
An undefined slope means the line is vertical.
The correct answer is
A. The line rises from left to right.
When multiplying the same number raised to different powers add the powers together.
3 + 2 + 5 = 10
Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:
10 + 1 = 11
Answer: 6^11
