Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case : -1/4
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case y decreases by 1 for every x increase by 4.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
in our case it is : 4/1 = 4
so, the line function in point slope form is then (using the new slope and the point coordinates)
y - 3 = 4(x - 1)
if 1 inch is added, you would add 2 inches to to each side of rectangle.
You would have: W+2, and, L+2,
Now let W+2 = x and, L+2 = y
Total area = x*y=M
If 1 inch is added again, like above you add 2 inches to both sides, you would then have:
(x+2)(y+2)=M+52;
xy+2x+2y+4=M+52;
xy=M
2x+2y=48
x+y=48/2=24
Now solve :
W+2+ L+2=24
W+L=20
The perimeter is 2(W+L)=20*2 = 40 inches.
The answer would be D, as it is the closest option.
I hope this helps you
-cos²x= sin²x-1
4.sinx = sin²x-1+4
sin²x-4.sinx +3=0
(sinx-3)(sinx-1)=0
sinx≠3
sinx =1
SİN90=1
Answer:
a.
b.
Step-by-step explanation:
We have a differential equation
y''-2 y'-35 y=0
Auxillary equation
By factorization method we are finding the solution
Substitute each factor equal to zero
D-7=0 and D+5=0
D=7 and D=-5
Therefore ,
General solution is
Let 
We have to find Wronskian
Substitute values then we get
a.
We are given that y(0)=-7 and y'(0)=23
Substitute the value in general solution the we get
....(equation I)
......(equation II)
Equation I is multiply by 5 then we subtract equation II from equation I
Using elimination method we eliminate
Then we get 
Substitute the value of 
in I equation then we get
Hence, the general solution is
b.
