$1602 would be the amount paid for 3 years of lessons.
Answer: c
Step-by-step explanation:
The ratio is not 3:1
Differentiate both sides of the equation of the circle with respect to
, treating
as a function of
:

This gives the slope of any line tangent to the circle at the point
.
Rewriting the given line in slope-intercept form tells us its slope is

In order for this line to be tangent to the circle, it must intersect the circle at the point
such that

In the equation of the circle, we have

If
, then
, so we omit this case.
If
, then
, as expected. Therefore
is a tangent line to the circle
at the point (1, -2).
9514 1404 393
Answer:
b. y = (x - 5)² - 4
Step-by-step explanation:
Here, we take "standard form" to mean "vertex form."
In the US, "standard form" would be ...
y = x² -10x +21
Vertex form is ...
y = (x -5)² -4 . . . . matches B