A^2+b^2= 15^2
b=a-3
Use substitution
a^2+(a-3)^2= 225
a^2+a^2-6a+9=225
2a^2-6a=-216
2a^2-6a+216=0
2(a^2-3a+108)
2(a-12)(a+9)
(a-12)=0
a=12
(a+9)=0
a=-9
A is -9 or 12, but since an object can't have a negative length or width, a must be 12.
Plug this value of a in.
b=(12)-3
b=9
Final answer: Length=9, width=12
Answer:
I think it's 0.04
Step-by-step explanation:
Each 10 years the pupil gets smaller by 0.4 millimeters
If you divide 0.4 by 10 you get 0.04 which should be millimeters per year
again dont take my word for it im not a goddess lol
Answer: n =-2
Step-by-step explanation:
Answer:
yea we all love you $^)
some will deny it but don't believe that. lolll
Answer:
y(x) = c_1 e^(-1/(2 x^2))
Step-by-step explanation:
Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:
Solve for (dy(x))/(dx):
(dy(x))/(dx) = y(x)/x^3
Divide both sides by y(x):
((dy(x))/(dx))/y(x) = 1/x^3
Integrate both sides with respect to x:
integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx
Evaluate the integrals:
log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.
Solve for y(x):
y(x) = e^(-1/(2 x^2) + c_1)
Simplify the arbitrary constants:
Answer: y(x) = c_1 e^(-1/(2 x^2))