Hello :
<span>(27ax^3 – 9a^2x) ÷ 3ax :
</span> <span>(27ax^3 – 9a^2x) / 3ax
</span> (27ax^3 ) / (3ax) –( 9a^2x) / 3ax = 9x² - 3a
Answer:
1. Slope: 
2. Distance: 
3. Midpoint: 
4. Slope of perpendicular line: 
Step-by-step explanation:
Given
Solving (1): Slope of AB
Slope (m) is calculated as follows:
Where:
--- 
--- 
So, we have:
Solving (2): Length AB
This is solved by calculating the distance of AB using the following formula.
Where:
---
---
So:
Solving (3): Midpoint of AB.
Midpoint, M is calculated as follows:
Where
---
---
So:
Solving (4): Slope of line perpendicular to AB
The relationship between the slopes of two perpendicular lines is:
Where
represents the slope of AB
So:
Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
Hi !
I don't know if it's 2x × (x + 6) or 2 × (x + 6) so I'll do both of them !
2x × (x + 6)
⇔ 2x² + 12x
2 × (x + 6)
⇔ 2x + 12
Have a nice day :)
