To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=
x² - 8x +12
y =
x² -2*4x + 4² - 4² +12
y=
(x-4)² -16 +12
2) calculate and write a vertex
y=
(x-4)² -16 +12
y=
(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)²
- 4 -------y- coordinate of the vertex y = - 4 Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:
which rounded to the nearest tenth is: 7.5 m
2075-1195=880$ is the amount of increase
880/1195=0,74 now you only need to multiply with 100
0,74*100=74%
So the price increased by 74%
The slope is -1.
because the slope formula gives you (-1-4)/(2-(-3)) which is -5/5 which also is -1
Answer:
Step-by-step explanation:
To find the inverse of a function f (x) follow the steps below:
1) Make y = f (x)
2) Solve for the variable x
3) Exchange the variable x with the variable y
4) Make
Finally, the inverse of the function f (x) is: