Answer:
D. (x – 3)^2 = 17
Step-by-step explanation:
We assume you want an equivalent to x^2 -6x = 8.
We can complete the square by adding the square of half the x-coefficient to both sides of the equation.
x^2 -6x +(-6/2)^2 = 8 +(-6/2)^2
(x -3)^2 = 17 . . . . simplify
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
Hello from MrBillDoesMath!
Answer:
One solution (z = -1)
Discussion:
-2(z+3)-z=-z-4(z+2) =>
-2z -6 -z = -z -4z - 8 =>
-3z -6 = -5z -8 => add 6 to both sides
-2z = -5z -2 => add 5z to both sides
3z = -5z +5z -3 =>
3z = -3 =>
z = -1
Thank you,
MrB
Answer:
The answer is: 9
Step-by-step explanation:
if his height is H, and she is 7 inches shorter than him, her height can be represented by the algebraic equation H-7