Value -$:73788362 value ?
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
Just add them together
9 + 12 = 21
Answer:
they had more people
Step-by-step explanation:
The solution to the expression is 7r - 8
<h3>How to set up and solve the expression?</h3>
The expression is given as
-r + 6 + 8r - 14
Collect the like terms in the above expression
So, we have
-r + 8r + 6 - 14
Evaluate the like terms in the above expression
7r - 8
Hence, the solution to the expression is 7r - 8
Read more about expressions at:
brainly.com/question/723406
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