Answer:
a.
.
b. The axis of symmetry for
is
.
Step-by-step explanation:
a. The vertex form of a quadratic is given by
, where (h, k) is the vertex.
To convert from
form to vertex form you use the process of completing the square.
Step 1: Write
in the form
. Add and subtract 4:

Step 2: Complete the square 

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
For a quadratic function in standard form,
, the axis of symmetry is
.
The axis of symmetry for
is
.
Look at the graph shown below.
Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y = 
Therefore, circumference of the smaller circle =
units
=
units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
I'm assuming this is what they want? haha
M = 2/5 x b = 4 because u divided both by 5
Answer:
4740
Step-by-step explanation:
Unless there are options, then I would need to know that