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
Answer:
x and y
Step-by-step explanation:
Answer:
Step-by-step explanation:
x+5+x+7x-5=180 degree (being the interior angles of a triangle)
9x=180
x=180/9
x=20 degree
The range that is appropriate to use to represent the numerical data is 0.0 to 26.0.
<h3>What is a line graph?</h3>
A line graph is a graph that is used to represent numerical data. It shows the changes in the data with the passage of time. There are two axes on a line graph, the vertical axis and the horizontal axis. The range of the vertical axis should start from 0 and end at the largest number of data set.
Please find attached the diagram. To learn more about line graphs, please check: brainly.com/question/27252279
#SPJ1
Answer:
x=2,x=7
Step-by-step explanation:
-3x^2+27x=42
x^2-9x+14=0
x^2-2x-7x+14=0
x*(xi2)-7(x-2)=0
(x-2)*(x-7)=0
x-2=0
x-7=0
x=2
x=7
