Building an A-frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house a set of plans by searching the net. A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measures shown in the drawing and find half of the measure. Show your work to get full credit!

Complete question is;

Building an A - frame dog house. Your club has decided to build and sell dog houses for a fundraising project. You found this dog house a set of plans by searching the net.

side 1 = 45¼ in

side 2 = (Gusset plate)

5¾ in high

3⅓ in base

corner of side 2 = 2 inches thick

side 3 (floor plate)= 37¼ in

A customer has offered to pay extra if you will make one half the size called for in the plans. Take each of the 5 measures shown in the drawing and find half of the measure. Show your work to get full credit!

new side 1 = 22⅝ in

For side 2:

New height = 2⅞

New base = 1⅔ in

New corner = 1 in

New side 3 = 18⅝ in

Step-by-step explanation:

We are told that a customer has offered to pay extra if you will make one half the size called for in the plans.

Thus, we will divide each number by 2

We are given side 1 = 45 1/4 in = 45.25 in

New side 1 = 45.25/2 = 22.625

Converting to fraction form: new side 1 = 22⅝ in

We are given side 2 = (Gusset plate)

Height = 5¾ in = 5.75 in

New height = 5.75/2 = =2.875

Converting to fraction:

New height = 2⅞

Base = 3⅓ in = 3.33 in

New base = 3.33/2 = 1.66

Converting to fraction:

New base = 1⅔ in

Corner of side 2 is 2 inches thick

New corner = 2/2 = 1 in

side 3 (floor plate) = 37¼ in = 37.25 in

New side 3 = 37.25/2 = 18.625

Converting to fraction:

New side 3 = 18⅝ in

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this