For distance in 1 minute, divide the distance for 6 minutes by 6 minutes:
7.5 km / 6 minutes = 1.25 km per minute.
For 100 minutes, multiply distance per minute by total minutes:
1.25 km per minute x 100 minutes = 125 km
Answer:
b. SAS
Step-by-step explanation:
SAS stands for Side Angle Side
The first Side being AB or BC
The Angle being ∡ABD and ∡CBD
And the last Side being BD
Answer:
![\boxed{\sf 15x^2 + 2}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%2015x%5E2%20%2B%202%7D%20)
Step-by-step explanation:
Simplify the expression:
![\sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%2810%20%7Bx%7D%5E%7B2%7D%20%20-%201%20%2B%204x%29%20%2B%20%283%20%2B%205%20%7Bx%7D%5E%7B2%7D%20%20%20-%204x%29)
Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):
![\sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%20%2810%20x%5E2%20%2B%205%20x%5E2%29%20%2B%20%284%20x%20-%204%20x%29%20%2B%20%28-1%20%2B%203%29)
10x² + 5x² = 15x²:
![\sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%2015%20x%5E2%20%2B%20%284%20x%20-%204%20x%29%20%2B%20%28-1%20%2B%203%29)
3 - 1 = 2:
![\sf \implies 15 x^2 + (4 x - 4 x) + 2](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%2015%20x%5E2%20%2B%20%284%20x%20-%204%20x%29%20%2B%202)
4 x - 4 x = 0:
![\sf \implies 15 x^2 + 2](https://tex.z-dn.net/?f=%20%5Csf%20%5Cimplies%2015%20x%5E2%20%2B%202)
6×500=3000
6×30=180
6×2=12
3000+180+12=3182
3182 is the final answer