Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Answer:
Step-by-step explanation:
Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
15 inches by 11 inches
6 inches by 3 inches
18
6 inches by 2 inches
12
16 inches by 8 inches
10 inches by 5 inches
15 inches by 7.5 inches
10 inches by 6 inches
Answer:
47.4%
Step-by-step explanation:
It has to be below 50% because those weights fall at or below the average.
Answer:
1. 9.576
2. 17.442
3. 45.29
4. 79.294
5. 30.736
6. 30.8
7. 31.5
8. 25.85
9. 53.29
10. 49.184
11. 15.18
12. 15.573
13. 17.075
14. 74.06
15. 9.01
Step-by-step explanation:
Use a multiplication method to find the answers. I would put it up here but i dont know how.