Answer:
4 would be 36
Step-by-step explanation:
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The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Step-by-step explanation:
Given equation of line is:

We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4

Let m1 be the slope of given line
Then

Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1

The slope intercept form of line is given by:

Putting the value of slope

to find the value of b, putting (3,-3) in equation

Putting the value of b in the equation

Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Keywords: Equation of line, slope
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If you change 1/4 so that the denominators of both fractions are the same by mutiplying 4x3 for the bottom and 3x1 for the top and then add 5/12 and 3/12 to get 8/12 and then for it to be a whole number, you need 4/12 to complete the whole which is the fraction of children at the bleachers at the basketball game (4/12) .
5(x² + 6x + 10)
That's the best way to factor it
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.