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:
13.47 m
Step-by-step explanation:
let the angle formed by the shadow on ground be x
tan x = 1.65/(34.55-30 4)
tan x = .39
.39 = tree ht/34.55
tree ht = 13.47m
Answer:
6 turns into 2, 18 turns into 6, and 12 turns into 4.
Step-by-step explanation:
it is really cold so people will have to find food try to survive by hunting animals which is even more difficult also plants would barely get any water
Answer:
Step-by-step explanation:
There are 2 yellow marbles, 3 pink marbles, and 5 blue marbles in the bag, for a total of 10 marbles.
Let's start with the probability that the first marble drawn is pink. Since there are 3 pink marbles out of the 10 total marbles, the probability of this happening is .
Since the first marble is not put back in the bag, there are now 9 marbles left, 2 of then being pink. The chances of drawing a pink marble now is . To find the chances of both of these events happening, multiply them together to get: