Answer:
X = 60
Y = 50
Step-by-step explanation:
The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.
On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.
Answer:
C has a zero slope
Step-by-step explanation:
A horizontal line has a slope of zero
A vertical line has an undefined slope
A positive slope goes up from left to right
A negative slope goes down from left to right
Answer:
degree of vertex B = 2
degree of vertex g = 4
Step-by-step explanation:
Using given picture we need to find about what is the degree of vertex B and G.
In graph theory, we know that the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex.
So we just need to count how many edges are incindent on vertex B and G.
From picture we see that number of edges incident on vertex B = 2
Hence degree of vertex B = 2
From picture we see that number of edges incident on vertex G = 4
Hence degree of vertex g = 4
Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
Answer:
variables look like letters of the alphabet.
I hope this helps
