Answer:
x= 8
Step-by-step explanation:
Half of a circle or a straight line is equal an angle of 180 degrees. Therefore, both the measurements of angles RPS and QPR are equal to 180 degrees.
3x + 12 + 7x + 88 = 180
Add like terms
10x + 100 = 180
-100. -100
10x = 80
/10. /10
x = 8
Answer:
1.1 : C - x^2 + x - 2
1.2 : A - 4a^2 - 6b^2 + 12
Step-by-step explanation:
When we have the expression p(x) - q(x), we can substitute those functions in:
(x^2 + 2x - 5) - (x - 3)
We can distribute:
x^2 + 2x - 5 - x + 3
and then combine like terms(2x & -x, -5 & 3)
x^2 + x - 2
This is the same as C.
We can start by distributing:
a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4
Now, we can combine all the a^2 terms(a^2 & 3a^2):
4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4
Then, we can combine the b^2 terms(-2b^2 & -4b^2):
4a^2 - 6b^2 + 3 + 4 + 5
and lastly, all the constants:
4a^2 - 6b^2 + 12
This aligns with option A
$110,000
I got this answer from multiplying 10,000 by 10 then adding 10% of 10,000 (which is one thousand) 10 times, which got me an additional 10,000, and that's how I got my answer. Please comment on this answer and tell me if it is wrong, I really hope it isn't wrong. I also hope this helps you on your way, have a great day!
Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given
So, we have:
Required
The additional trees to be planted for maximum yield
The function is:
Open bracket
Rewrite as:
Differentiate
Equate to 0 and solve for x to get the maximum of x
Divide by -4
The farmer should plant 14 additional trees, for maximum yield.
