Answer:
Where h,k represent the vertex and we got:
(5,6)
Step-by-step explanation:
We have this original function given :
And we want to find the vertex for this new function and we have:
And solving the square we got:
And adding similar terms we got:
Now we can complete the square like this:
The general equation is given by:
Where h,k represent the vertex and we got:
(5,6)
The number of different codes does this lock provides is 360.
Given that,
Based on the above information, here we use permutation which is as follows:
= 360
Therefore we can conclude that the number of different codes does this lock provides is 360.
Learn more: brainly.com/question/23283166
(a) m =
calculate the slope (m) using the ' gradient formula '
m =
let (x₁, y₁) = (8, 9) and (x₂, y₂) = ( - 2, 4)
m = =
=
(b) y - 9 = (x - 8)
the equation of a line in ' point- slope form ' is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
choose any of the 2 given points for (a, b) → (8, 9)
y - 9 = (x - 8) → " point- slope form"
(c) y = x + 5
the equation of a line in ' slope-intercept form ' is
y = mc + c
where m is the slope and c the y-intercept
expand and simplify the point- slope equation
y - 9 = x - 4
y = x - 4 + 9
y = x + 5 → " slope- intercept form"