The average is (0.76+0.88) / 2 = 1.64 / 2 = 0.82
9514 1404 393
Answer:
(a) (6a - 3a) + (-3+6)
Step-by-step explanation:
Assuming "properly grouped" means that parentheses are placed around each group of terms, the appropriate choice is the one that groups 'a' terms and constant terms:
(6a - 3a) + (-3 + 6)
Answer:
Always
Step-by-step explanation:
Subtracting a from both sides yields b>0, which is always true since b is a positive integer.
Answer:
The ratio of the area of triangle XBY to the area of triangle ABC is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
In this problem
Triangles XBY and ABC are similar, because the corresponding internal angles are congruent
see the attached figure to better understand the problem
step 1
Find the scale factor
Let
z-------> the scale factor
we have
substitute
step 2
Find the ratio of the area of triangle XBY to the area of triangle ABC
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
we have
-----> scale factor
so
Answer:
#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C. 2; 0.5; #5) A. 0.05 seconds; 4.5.
Explanation:
#1) The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself. In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4. This means the period goes from t=0 to t=4, so it is 4.
#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2). Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.
#3) This function never repeats, so it is not periodic.
#4) This function repeats when it reaches t=2, so 2 is the period. The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak. The center line would be located at about y=0.5; the peaks are at y=-1. This means the amplitude is 0.5.
#5) This function repeats every 0.05 seconds. In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.
