To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (36, 6), we know that (36, 6) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x

Step-by-step explanation:

Given

----- the equation of the curve

Required

The slope of f(x)

The slope (m) is calculated using:

implies that:

So, we have:

If ; then:

So, we have:

Multiply by:

Expand the numerator

Collect like terms

Cancel out h

implies that we substitute 0 for h;

So, we have:

Hence, the slope is 1/12

20

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq