Answer:
y= -1/9(x-1)^2 +2
Step-by-step explanation:
The vertex is at (1,2) and another point is at (-2,1).
We know the vertex form of a parabola is
y= a(x-h)^2 +k where (h,k) is the vertex
Substituting the vertex in
y= a(x-1)^2 +2
We have another point, (-2,1)
Substitue this in with x=-2 and y =1. This will let us find a
1 = a(-2-1)^2 +2
1 = a (-3)^2 +2
1 = a*9 +2
Subtract 2 from each side
1-2 = 9a +2-2
-1 = 9a
Divide by 9
-1/9 = 9a/9
-1/9 =a
Putting this back into the equation
y= -1/9(x-1)^2 +2
14 gallons , beacause there are 7 days in a week and 4 quarts equal one gallon so 2 × 7 = 14
Answer:
Side CA = 7.8
Step-by-step explanation:
<u>Given:</u>
Acute angled
.

AB = 10
BC = 12
We can use cosine rule here to find the side AC = b
<em>Formula for cosine rule:
</em>

Where
a is the side opposite to 
b is the side opposite to 
c is the side opposite to 

To the nearest tenth <em>b = 7.8</em>
Answer:
Stratified sampling
Step-by-step explanation:
Given


Required
The type of sampling method
From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.
<em>Such method is a stratified sampling</em>
A social institution consists of a group of people who have come together for a common purpose. These institutions are a part of the social order of society and they govern behavior and expectations of individuals.