Answer:
2. 17/2
3. 5/2
4. 6
5. 9
6. 8
Step-by-step explanation:
7/8 / 11/12. First get the reciprocal of 11/12 (which is 12/11). Then multiply by the reciprocal. 7/8 * 12/11 = 84/88
don't forget to simplify
21/22
The answer:
<span>the average rate of change for the first 50 seconds:
it is v= 100 m/ 50 s = 2 m/s
</span><span>Thomas speed is 2 m in each second for the first 50 seconds.
</span><span>The average rate of change for the 70 remaining seconds:
the time is between [70; 120]
so the distance is d= 200m - 40m= 160m
the average rate is
v= 160m / 70 s = 2 . 28m /s
</span>
Answer:
v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
Step-by-step explanation:
Solve for v over the real numbers:
-v^2 + 9 v - 5 = 0
Multiply both sides by -1:
v^2 - 9 v + 5 = 0
Subtract 5 from both sides:
v^2 - 9 v = -5
Add 81/4 to both sides:
v^2 - 9 v + 81/4 = 61/4
Write the left hand side as a square:
(v - 9/2)^2 = 61/4
Take the square root of both sides:
v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2
Add 9/2 to both sides:
Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2
Yes, the two ratios are equivalent. If you multiply both the numerator and the denominator by 6, you will get 18/42.
