Answer:
x = 3.6
Step-by-step explanation:
By the Postulate of intersecting chords inside a circle.
![x \times 5 = 3 \times 6 \\ 5x = 18 \\ x = \frac{18}{5} \\ x = 3.6 \\](https://tex.z-dn.net/?f=x%20%5Ctimes%205%20%3D%203%20%5Ctimes%206%20%5C%5C%205x%20%3D%2018%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B18%7D%7B5%7D%20%20%5C%5C%20x%20%3D%203.6%20%5C%5C%20)
Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
![a=-\frac{1}{3}](https://tex.z-dn.net/?f=a%3D-%5Cfrac%7B1%7D%7B3%7D)
The required equation is
,
It could be:
2/4
4/8
8/16
3/6
5/10
6/12
Answer:
7(b^2 -2)(b^2 +2)
Step-by-step explanation:
Factoring the common factor 7 from both terms, you get the difference of squares. That can also be factored.
v = 7(b^4 -4) = 7(b^2 -2)(b^2 +2)
The difference b^2-2 will have irrational factors, so does not meet the problem requirements. This is the factorization over integers.