Answer:
k=2
Step-by-step explanation:
We have got a right triangle LNO with sides = m,4 and 8
By Pythagorean theorem
m^2=4^2 +8^2
Or m^2 = 80 ... i
IN triangle NOM, 4^2 +k^2 = l^2
i.e. 16+k^2 = l^2... i
In triangle LNM, m^2+l^2 = (8+k)^2
Substitute for m^2 as 80,
i.e. 80+l^2 = 64+k^2 +16k ... iii
From i, l^2 = 16+k^2
Substitute in iii
80+16+k^2 = 64+k^2 +16k
16k = 32 or k =2
-18 - 6k = 1 + 3k
-6k - 3k = 1 + 18
-9k = 19
k = -19/9 or - 2 1/9
Answer:
y = -x
Step-by-step explanation:
it because the reflection change the value of x become -y
so the reflection we can use is the line y = -x
Answer:
24 minutes.
Step-by-step explanation:
This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.
First you should note that answer will be under 40 minutes.
1/40 + 1/60 = 1/TimeTotal
The common denominator on the left is 120 minutes
3/40*3 + 2/60*2 = 1/timetotal
3/120 + 2/120 = 1/ timetotal
5/120 = 1/time total Now to use to the key stop
What you do now is you always turn the left side over. You do the same thing to total time.
120/5 = total time
24 = total time
What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.
Answer:Can somebody please help
Step-by-step explanation: