Hi there Mary Dominguez, So what a vertical line test down is to find out if a particular graph is a function or not. What you do is take a vertical strait line and move it right to left or left to right, depending on your preference, along the X axis. The reason this works is a function can not have an x that has 2 different y values. If we use the vertical line test on a graph with say a graph that has (2,3) and (2,4) we can use the vertical line test and see that the line hits 2 points at once which means its not a function :)
<span>f(x)=x^2+6x+3
=(1/2.6)^2=3^2=9
f(x)=(x2^+6x+9)+3-9
=(x+3)^2-6</span>
Answer:
Noah
Step-by-step explanation:
For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute. Noah types faster because he can type more words per minute.
Answer:
29.15 km
Step-by-step explanation:
Given;
George walks; 25km west and then 15 km south
Resolving the directions to x and y axis;
North and South represent positive and negative y axis.
East and West represent positive and negative x axis respectively.
25km west
Rx = -25 km
15 km south
Ry = -15 km
The resultant displacement from the house is;
R = √(Rx^2 + Ry^2)
Substituting the values;
R = √((-15)^2 + (-25)^2)
R = √(225+625)
R = √(850)
R = 29.15 km
Therefore, he is 29.15 km from house
Answer: 
Step-by-step explanation:
We know that:
Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":
The first step is to convert the distance from miles to feet.
Since 
, we get:
Knowing that:
We can substitute values into in order to find the time in seconds:
Since:
The time in minutes is:
