`show that the normal to the parabola y²=8x at (2 4)meets the parabola again in(18, -12)`​

See Below.

Step-by-step explanation:

We want to show that the normal line to the parabola:

At the point (2, 4) meets the parabola again at (18, -12).

First, find the tangent line to the parabola at the point (2, 4). We can take the derivative of both sides with respect to x:

Implicit differentiation:

Therefore:

Then the slope of the tangent line to the point (2, 4) is:

Thus, the slope of the normal line is -1.

And since it passes through the point (2, 4), by the point-slope form:

Simplify:

By letting x = 18:

So, the normal line indeed passes through (18, -12).

answer is in the picture.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

the answer is a beach is the best place to be