Answer:
y-11=43(x+2)
Step-by-step explanation:
y-y1=m(x-x1)
y-11=43(x-(-2))
y-11=43(x+2)
It looks like the differential equation is

Check for exactness:

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

*is* exact. If this modified DE is exact, then

We have

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

The modified DE,

is now exact:

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

Integrate both sides of the first condition with respect to <em>x</em> :

Differentiate both sides of this with respect to <em>y</em> :

Then the general solution to the DE is

Answer:
area= l×b or b^2 or l^2 = 16900
to get one side length of the square take root of area i.e

=130 cm is length of the base
Answer:
Step-by-step explanation:
Hello, we know that if the equation is

Then the vertex is the the point (h,k)
Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,

On the other hand, we know that the y-intercept is (0,-12) so we can write

So the equation becomes.

And we can give the standard form as below.

Thank you.