Quadrilaterals are four sided shapes. A parallelogram is a quadrilateral with equal and parallel opposite sides. The sum of the interior angles of any quadrilateral is always 360 degrees

Considering the question being asked, the correct option is

1) The sum of the interior angles will still be 360°. This will always remain the same no matter what type of quadrilateral is formed.

For the other options, some will remain the same and this depends on the type of quadrilateral that is formed.

3 0

3 years ago

Find the solution of the system x′=−4y,y′=−2x, where primes indicate derivatives with respect to t, that satisfies the initial c

Andreas93 [3]

Answer: $2y^2 = x^2+4$

Step-by-step explanation:

given is a differntial equation in parametric form as

$x'=-4y\\y'=-2x$

We can find dy/dx by dividing y' by x'

$\frac{dy}{dx} =\frac{-2x}{-4y} \\4ydy =2x dx\\2y^2 = x^2+C$

(By separating the variables and integrating)

C is arbitrary constant

When x=-2, y =-2

Substitute to get

$8=4+C\\C=4$

So solutoin is

$2y^2 = x^2+4$

is the solution

5 0

3 years ago