Given: Circle A externally tangent to Circle B.

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

Line r

Explanation:

A common internal tangent is a tangent of both circles in which the intersection of the tangent and the line segment joining the centers is not empty.

This means that the tangent and the line segment joining the centers must intersect.

Line s does not intersect AB, the line segment joining the circles. This means line s is not the common internal tangent.

Segment AB is the segment joining the centers; it is not tangent to the circles.

Line r is tangent to both circles and intersects AB; this is the common internal tangent.

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y = - 4x + - 8 is equation of slope-intercept form.

What is in slope-intercept form?

Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form.
Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.

the equation of slope - intercept form

y = mx + c

( -1 , -4 ) is point shown in graph

slope = -y/x

= - ( -4)/-1 = 4/-1 = -4

- 4 = -4 * - 1 + c

- 4 = 4 + c

c = - 4 - 4 = - 8

put value of c in the equation of slope - intercept form

y = - 4x + - 8

Learn more about slope-intercept form

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