9x2+4y2 = 36 the foci are located at:

The foci are located at

Step-by-step explanation:

The standard equation of an ellipse with a vertical major axis is where .

The given equation is .

To obtain the standard form, we must divide through by 36.

We simplify by canceling out the common factors to obtain;

By comparing this equation to

We have .

To find the foci, we use the relation:

This implies that:

The foci are located at

Therefore the foci are

Or

and

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions