The mean for this problem is 45... hope this helps!
Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so
...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting 
in (i), we get
Putting 
, we get
Therefore, the required value is .
1 and -36
-1 and 36
6 and -6
18 and -2
-18 and 2
9 and -4
-9 and 4
damp everyone is giving exams lol
Answer:
Step-by-step explanation:
GIVEN: dx / dt=5 in./min. and dy/ dt=−6 in./min.
FIND: dz/ dt when x=12 in. and y=9 in.
Use the Pythagorean Theorem to get the equation
x2+y2=z2
Now differentiate this equation with repect to time t getting
D{x2+y2}=D{z2} ⟶
2xdxdt+2ydydt=2zdzdt ⟶
(Multiply both sides of the equation by 1/2.)
x dx/ dt+y dy/ dt= z dz/ dt (DE)
Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.
tex2html_wrap_inline125
122+92=z2 ⟶ z2=225 ⟶ z=15
Plug in all given rates and values to the equation (DE) getting
(12)(5)+(9)(−6)=(15)dz/ dt ⟶
6=15dzdt ⟶
dz/ dt=615=25 in/min.
Hope this answer helps you :)
Have a great day
Mark brainliest
