While measuring the length of a knitting needle, the reading of the scale at one end is 5cm and at the other end is 40cm. what is the length of the needle?​

The length of the needle is 35cm

Step-by-step explanation:

Given

Required

The length of the needle (L)

This is calculated as thus:

The length of the needle is 35cm

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.