Answer:
Vertex = (-3, -1)
Axis of Symmetry: x = -3
Step-by-step explanation:
The vertex is (-3, -1), the axis of symmetry is x = -3. The x-intercept is -2 and -4, the y intercept is 8, the domain is R, the range is [-1, inf.]
The function is increasing in {-3, inf.} and decreasing in {-inf., 3}
<u>Question 1</u>
If we let
, then
.
Also, as
bisects
, this means
.
Thus, by the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning CE=8
Answer:

Step-by-step explanation:
In order to find the value of n that satisfies this equation, we can perform a series of algebraic steps on it to solve for n.
- <em>Distribute in the 8 on the left side:</em>
- <em />
<em> </em> - <em>Add 4n to both sides</em>
- <em>Add 16 to both sides</em>
- <em>Divide both sides by 20</em>
Therefore, n=1 is the value of n that satisfies this equation.
Hope this helped!
In one month she will have 5 bucks interest with a total of 405$.
12 people ⇒8 cups
1 person ⇒ 8/12 = 2/3 cup
7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups
Answer: She should use 4 2/3 cups of sugar.