
Let
, so that
:

Now the ODE is separable, and we have

Integrating both sides gives

For the integral on the left, rewrite the integrand as

Then

and so


Given that
, we find

so that the particular solution to this IVP is

Answers:
x = 100
y = 25
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Explanation:
Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25
Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.
I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.
The triangle's angles 25, 75, z add up to 180. Let's solve for z
25+75+z = 180
100+z = 180
z = 180-100
z = 80
Use this to find x
x+z = 180
x+80 = 180
x = 180-80
x = 100
Answer:

Step-by-step explanation:
Hello!
We can use the factored form of a Quadratic to find an equation with 8 and -8 as our solution.
<h3>
Factored Form: 
</h3>
The value in each parenthesis should be 0. So 8 and -8 can be flipped and used for h and k.
This will give roots 8 and -8 for x.
A possible equation is
.
Answer: $18.90
Step-by-step explanation:
3 becuse you put the numbers wrong