Answer:
1
Step-by-step explanation:
Answer:
Angle WTS will be 180 degree minus 15x. You can write this as an expression:
180-15x
Now you have an expression for each angle in the triangle. Triangles will always have 180 degrees in them. You can add the expressions together and set it equal to 180. Then you can solve the equation for the x variable.
Step-by-step explanation:
Angle SWT + angle WTS + angle TSW = 180 degrees
Replace each angle with the expression then solve.
Answer:
3/5
Step-by-step explanation:
absolute value is always positive
Answer:
Step-by-step explanation:
so the least common denominator is 12, so:
multiply 3/4ab by three, which equals: 9/12ab
9/12ab-5/12ab = 4/12ab, or 1/3ab
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).