Slope = (y2 - y1) / (x2 - x1)
slope = (-7-10) / (5 - (-3)
slope is supposed to be -17/8
I am guessing she made her mistake by adding a negative sign...the student did : (-7 - (-10) / (5 - (-3) = (-7 + 10) / (5 + 3) = 3/8
Pick any value in the y column of the table. I'm going to pick 81. Divide the value you picked by the previous y value, which in my case would be 9
Dividing the values gives: 81/9 = 9
So the base is 9. We multiply each y value by 9 to get the next y value
Eg: to go from 1/81 to 1/9, we multiply by 9. Same for 1/9 to 1, and so on.
Answer: Choice B) 9
Note: This trick only works because x is increasing by 1 each time
Answer:
C
Step-by-step explanation:
multiply through by 10
10{4.8(x-4)} = 10(-0.2x) + 10(15.8)
48(x-4) = -2x + 158
48x - 192 = -2x +158
48x + 2x = 158 + 192
50x = 350
divide through by 50
x=350/50
x=7
therefore, answer = C
Answer:
SAS theorem
Step-by-step explanation:
If
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

So,
and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
A common misconception in statistics is confusing correlation with causation. If two events are correlated, it merely means that they share the same behaviour over time, but it doesn't imply in any way that those event are related by a common cause, or even worse, that one implies the other.
You can find several (even humorous) counter examples online. For example, if you plot the number of reported pirates assault against the global temperature in the last years, you'll se that temperature is rising (unfortunately...) while pirates are almost disappearing.
One could observe this strong negative correlation and claim that hotter climate has solved the pirate issue. Of course this is a joke, but it explains why you shouldn't confuse correlation with causation.