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What are the similarities and differences of a chord, a secant, and a tangent of a circle?

Similarities -

There is a line that touches a circle at least once

They are all straight lines

DIfferences -

Chord: line segment whose endpoints both lie on the circle

Secant: a line that intersects a circle at two points

Tangent: A line which touches a circle at just one point

Step-by-step explanation:

the answer is 31.27mph

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.