Answer:
the 4th answer I(x) = P(x-4)
Step-by-step explanation:
the first 2 options are out, because just adding values to the functional result values changes the y value, and the curve is pushed up or down. but not to the side.
just imagine
I(x) = P(x-4) means that the function value of previously at x-4 happens now at x. 4 units "later" (or more to the right).
"x+4" would make the functional value at previously x+4 happen now at x. so, everything would shift to the left (happen "earlier").
therefore, the 4th answer option is correct.
Step-by-step explanation:
MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]
WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)
SUBSTITUTING INTO THE EQUATION ABOVE
(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]
EQUATING THE X COORDINATES
=> 3 = (2+ X2)/2 (CROSS MULTIPLY)
=> 6 = 2 + X2
X(subscript 2)= 4
EQUATING THE Y COORDINATES
=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)
6 = –8 +Y2
=> Y(subscript 2)= 14
THEREFORE THE COORDINATES OF B ARE (4 ,14)
hope this helps :)
We need the perimeter of the window for framing
The window is in the shape of a rectangle with the height of

feet and width of

. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is

=
We have two whole numbers 18 and 12 and two fractions

and

Adding the two fractions that have different denominator

, which is an improper fraction which we can change into a mixed number

So the perimeter of the window is
and the length of wood needed for the frame is

feet
Answer:
x=24cm
y=20,78cm
Step-by-step explanation:
sen(30)=
-> x*sen(30)=12 -> x=
= 24cm
cos(30)=y/x -> cos(30)= y/24 -> y=24*cos(30)= 20,78cm