Answer:
The third response
Step-by-step explanation:
<u>Part A</u>
<u />
So, the x-intercepts are 
<u>Part B</u>
The vertex will be a minimum because the coefficient of
is positive.
The x-coordinate of the vertex is 
Substituting this back into the function, we get 
So, the coordinates of the vertex are 
<u>Part C</u>
Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.
The graph is shown in the attached image.
Answer:
4. AB=4
Step-by-step explanation:
Transitive property is like substitution, or that's how I like to think of it. Since we have 2 common variables and 2 equations, we can "link them together". Replacing x with 4, you get AB=4.
Step-by-step explanation:
We have the following statement 
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
The simple statements from the statement given are:
,
,
, and 
This is the truth table.
Answer:
8.12
Step-by-step explanation:
We obtain the distance between x and y
d = sqrt[(x2 - x1)² + (y2 - y1)²]
d = sqrt[(1 - 2)² + (2 - 6)²]
d = sqrt[1 + 16)
d = sqrt(17)
d² = 17
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Hence,
Hypotenus = sqrt(17 + 7²)
Hypotenus = sqrt(17+ 49)
Hypotenus = sqrt(66)
Hypotenus = 8.124
Hypotenus = 8.12