Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Answer: total comes to 4X - 12Y + 4
Step-by-step explanation:
Answer: OPTION A
Step-by-step explanation:
We need to remember that Product of powers property, which states that:

Let's check the options:
A. For
you can apply the property mentioned before. Then:

(It is the equivalent expression)
B. Add the exponents:

(It is not the equivalent expression)
C. For
you can apply the property mentioned before. Then:

(It is not the equivalent expression)
D. We know that
and we maje the addition indicated in this option, we get:

(It is not the equivalent expression)
Answer:
A. Opens up with a vertex at (5,-4)
Step-by-step explanation:
Apex
Just a shot in the dark: 9*30 and 9*8?