Answer:
--- Vertex
--- Axis of symmetry
Step-by-step explanation:
Given
Solving (a): The vertex
For an equation written in
The vertex is:
By comparison:
and
So, the vertex is:
Solving (b): The axis of symmetry
For an equation written in
The axis of symmetry is:
x = h
In (a):
So:
Since ABCD is a parallelogram, line AB and line DC are parallel and has the same value.
To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
=
x = 3in
Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
DC=(9 +4) in
DC= 13 in
To check if the value is really correct, substitute X to AB
AB=(9x -14)in
AB=(9(3)-14)in
AB=(27-14)in
AB=13 in
Answer:
Step-by-step explanation: 5795f
The new function is g(x) =-1(1/-x) +2.
The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.
Convert f(x) to g(x)
where the conversion is g(x)=f(x)+2.
A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)
So, f(x)=-x-2 ; m = -1
From the above information, we get g(x) as follows.
g(x) =-1(1/-x) +2
More problems related to finding new functions for a given function are below.
brainly.com/question/13825802?referrer=searchResults
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Answer:
The total number of unbroken / working slots
Step-by-step explanation:
Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken
Also given that the number of slots in a row is x
1 row has x slots
3 rows has y slots
on cross multiplication we get y = 3x
ie there are a total of 3x slots in the 3 rows
Given that out of these 3x slots 5 . of the slots are broken
Therefore the total number of working slots = total number of slots - number of slots which are broken
total number of working slots are = 3x - 5
Therefore the given expression is the number of working / good slots
