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
.
I'm assuming a quarter-circle is exactly 1/4 of a circle. Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.
If that is the case, then we can find the area of the full circle using pi*r^2.
So the area of the circle is 5^2*pi or 25pi.
To find the area of the shaded region, we subtract the area of the circle from the area of the square.
The area of the square is 10^2 or 100.
So the area of the shaded region is 100 - 25pi.
My calculator says that equals roughly 21.46
Answer:
m∠ADB = 155°
Step-by-step explanation:
m∠ADB = (m∠C)/2 + 90° = 130°/2 + 90°
m∠ADB = 155°
_____
Reference brainly.com/question/17443119 for the derivation.
Answer:
1.) -90, -69, -49, 85
2.) -23, -17, -1, 69
3.) -93, -78, -16, 61
Step-by-step explanation:
A coefficient is a number multiplied by a variable.
In this case, our variable is a.
The coefficient is 12.
(PS: The +5 that isn't being multiplied by a variable is called a constant)