Consider the contrapositive of the statement you want to prove.
The contrapositive of the logical statement
<em>p</em> ⇒ <em>q</em>
is
¬<em>q</em> ⇒ ¬<em>p</em>
In this case, the contrapositive claims that
"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."
The first equation is captured by a system of linear equations,
or in matrix form,
If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be
and this is what we wanted to prove. QED
It could be written as 8w the simplified version of the example.
Or you could write it as 2(3w + w) which is 2 time the length and width.
The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :
Step-by-step explanation:
I think B or F is the best answer
Answer:
it is 6 because there is no other explanation to 1-f f=6!
Step-by-step explanation:
all i did was look 1 - f = 5 then f equaled 6!