Answer:
X=0.00667
Step-by-step explanation:
1/15x=10
multiply 15x the two sides
=15X*1/15x=15X*10
=drop 15x the left side
1=150X
=150X/150=1/150
therefore X=0.00667
133.875
This is the answer because we are given the length and the width of this floor. We are assuming it is a regular rectangle.
So we just multiply the length and the width which is 12.74 x 10.5, which comes out to 133.875
It is the last one.
To find the slope you go up 2 and over to the right by 1. The slope is 2x.
The y intercept is 1.
Answer:
309in²
Step-by-step explanation:
Area of an octagon is expressed as;
A=2(1+√2)a²
a is the side length of the octagon
Given
a = 8
Substitute into the formula
A = 2(1+√2)(8)²
A = 2(1+√2)(64)
Expand
A = 2(64+64√2)
A = 128+128√2
A = 128+128(1.414)
A = 128+181.01
A = 309in²
Hence the area of the octagon is 309in²
Answer:
True
True
False
Step-by-step explanation:
TRUE
If the equation Ax = 0 has only the trivial solution, then A is row equivalent to the n × n identity matrix
Here's why
If the equation Ax = 0 has only the trivial solution the determinant of the matrix is NOT 0 and the matrix is invertible therefore it is row equivalent to the nxn identity matrix.
TRUE
If the columns of A span ℝ^n , then the columns are linearly independent
Here's why
Remember that the rank nullity theorem states that
According to the information given we know that
Therefore you have
and
Which is equivalent to the problem we just solved.
FALSE
If A is an n × n matrix, then the equation Ax = b has at least one solution for each b in ℝ^n
Here's why
Take b as a non null vector and A=0, then Ax = 0 and Ax=b will have no solution.