Answer:
The graph of h(x) is shown below.
Step-by-step explanation:
The given function is
The general form of sine function is
Where, a is amplitude, b is period, c is phase shift and d is vertical shift.
So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.
It means the minimum value of function is -7 and maximum value is 7.
Therefore the points on the function are (0,0), 
.
The graph of function is shown below.
You are correct for the first part, you would be 16 and your Mom would be 44. After 8 years, you would be 24 and your mother would be 52. You solve the second part by adding 8 to 16 which equals 24. Then multiply 24 times 3 which equals 72. Lastly, subtract 20 from 72 to find your mother's new age. Which would be 52.
Hope this helps !
Answer:
164 Yards
Step-by-step explanation:
With the information in this problem, we need to assume that triangle ADE and ABC are similar, otherwise we would not have enough information to solve it.
1. AE/DE=AC/BC (Since the triangles are similar, the corresponding parts will have the same ratio. In other words, you should be able to multiply the length of any side in one triangle by the same number and get a side length of the similar triangle.)
2. AE/DE=(AE+EC)/BC (Rewrite side length AC as the sum of its parts)
3. 230/120=(230+85)/BC (Insert the values given for each side length into the equation)
4. 230/120=315/BC (Add 230 and 85)
5. 230*BC=315*120 (Cross multiply)
6. BC=315*120/230 (Divide each side by 230 to isolate BC)
7. BC=164.347826... (Plug the equation into a calculator)
8. BC=164 (Since the problem asks to round to the nearest yard and the number in the tenths place is below 5, round your answer down to 164)
btw definitely ignore that guy posting links
please lmk if i made any errors, hope this helps!!!
B. 5.2! If you use a calculator it gives you the direct answer. If you don't have one use paper and illustrate it.
