Answer:
ln (m^2n^9)
Step-by-step explanation:
Rule: ln a + ln b = ln ab
Rule: ln a^n = n * ln a
2 ln m + 9 ln n =
= ln m^2 + ln n^9
= ln (m^2n^9)
= 
Answer:
(0,1)- y intercept (1,0) x intercept
Step-by-step explanation:
first lets write this equation in slope intercept form: y=mx+b
m=slope
b=y intercept
so
slope formula:
(y2-y1)/(x2-x1)
y2=-3
y1=9
x2=4
x1=-8
so
(-3-9)/(4--8)=-12/12=-1
slope=-1
hence
y=-1x+b
substitute "x" as 4 and "y" as -3
so
-3=-1(4)+b
-3=-4+b
1=b
so
y=-x+1
1=y intercept
and
0=-x+1
-1=-x
1=x
1=x intercept
Answer:
35 adult tickets were sold
Step-by-step explanation:
If 35 adult tickets were sold, that would be $210
If 22 child tickets were sold, that would be $55
When you add them together, you get 57 tickets and $265.
(I'm sorry I don't know how to explain this but I hope it helped anyway)
I'd say that, if the angles S and U are equal, as the SV and UV segments move towards each other, they meet at vertex V, the angles they make, angle SVT and UVT, have to be equal, because the side TV is shared by both, and has the same direction.
now, side TV is on both triangles, and is shared by both, so is the same length, so TV on one triangle is equal to TV on the other
check the picture below
so, you have one Angle, another Angle, and then a Side
A A S
The price for each instructor will be the same at 3 hours. How I determined this answer:
First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:
Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)
Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)
Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:
I created a graph that looked like this:
Hours: 1 2 3
Ieda: 19.50 30.50 41.50
Thanh: 20.50 31.00 41.50
Here's how I figured out the price for each hour:
Ieda:
Hour 1 (including initial price):
$11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
$19.50 + $11.00 = $30.50
Hour 3 (excluding initial price):
$30.50 + $11.00 = $41.50
Thanh:
Hour 1 (including initial price):
$10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
$20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
$31.00 + $10.50 = $41.50
So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)
I hope I was able to help you! :)
