Answer:
46
Step-by-step explanation:
By arranging the numbers from least to greatest, you can find the median by locating the central number in the data set.
Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is
.
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is
.
Answer:
p = -1 q = -4
Step-by-step explanation:
a system of eq and solve for p and q ??? can do :)
Eq. 1) 8p + 2q = - 16
Eq. 2) 2p - q = 2
use Eq .2 and solve for q
2p - 2 = q
plug into Eq.1 with q
8p +2(2p - 2) = - 16
8p +4p -4 = -16
12p = - 12
p = -1
plug -1 into Eq. 1 for p and solve for q
8(-1) + 2q = - 16
-8 + 2q = - 16
2q = -8
q = -4
The angle of depression made by the bird to the mouse is seen on the attached image. We can find the distance from the field mouse up to the bird's eye by getting the hypotenuse of the triangle formed. Using the CAH in Pythagorean Theorem, we will have:
cos ∅ = adjacent / hypotenuse
cos 65 = 30 / h
h = 70.98 ≈ 71 m ⇒
the answer is D