Answer:
x = 81/4
Step-by-step explanation:
The vertex form is y=a(x-h)²+k
the vertex is (h,k)
so
y=-1(x-2)²+3
compare to
y=a(x-h)²+k
2=h and 3=k
the vertex is (2,3)
4th option
Answer: 11, 30
Step-by-step explanation:
Given
There were a total of 41 national battlefields and national memorials
Suppose there are national battlefields
So, national memorials are
The sum of the two must be 41
So, there are 11 national battlefields and national memorials.
<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
I think that's the element on the second row and the first column which is 15.