Lyles height is twice the difference of the height of his brother, harry, and the height of his dad, vince. Lyle is 2 1/2 feet tall, and harry is 4 3/4 feet tall. If vinces height is v feet, identify the equation that models this situation and choose the correct solution to the equation.

Step-by-step explanation:

We are given the following in the question:

Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

Lyle's Height =

Harry's height =

Putting the value in the equation:

Thus, Vince's height is 3.5 feet.

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.