Answer:
Perfect positive association
Step-by-step explanation:
Definition: A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase. (+1 indicates a perfect positive linear relationship)
Definition: A perfect negative association means that a relationship appears to exist between two variables, and that relationship is negative 100% of the time. Two variables have negative association when the values of one variable tend to decrease as the values of the other variable increase. (-1 indicates a perfect negative linear relationship)
Values between 0.3 and 0.7 (-0.3 and -0.7) indicate a moderate positive (negative) linear relationship.
From the graph we can see that this relationship shows perfect positive association (both variables increase and we can plot the straight line which will include all points)
Answer:
h(x) = (x+2) ^2 -2x -3
Step-by-step explanation:
If we have to shift 2 units left the we have to replace x by x+2 i.e
h(x) = (x+2)^2-2(x+2)+1
= (x+2)^2 -2x-4 +1
= (x+2)^2 -2x -3
Answer:
30 degrees
Step-by-step explanation:
tanA=4√3/12
A=30
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
Answer:
Step-by-step explanation:
S = 12mm
r = 8mm
What is the measure, in radians, of the circle or central angle?
The measure of a circle in radians is 2 radians. I think you want the central angle thata.
theta = S/r radians
theta = 12/8 radians
theta = 1.5 radians for the central angle
