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
The statement H(30) = H(25) + 5 means that, "when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old"
<h3><u>Solution:</u></h3>
Given that,
Baby Amelia's parents measure her height every month
It is given that H(t) models Amelia's height (in centimeters) when she was "t" months old
Given statement is H(30) = H(25) + 5
So, we can say that H(30) = Amelia's height when she was 30 months old
H(25) = Amelia's height when she was 25 months old
So H(30) = H(25) + 5 means that,
Height of Amelia when she was 30 months old is 5 centimeter more than Amelia height when she was 25 years old
Or we can say that,
When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old
The answer is option d.
<span>The teenage market is a market that is categorized by consumer way.
we can say this because consumer means what you use or what you like to you use. These days teenagers like to eat fast food and go out with friends to enjoy and eat. so if you market a fast food shop, it means you are looking at the consumer way. That is why d is the best option.</span>
(x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6