to find the x-intercept of a function, we simply set y = 0 and then solve for "x", so, let's first find the equation of it and then set y = 0.
![\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{16})~\hspace{10em} slope = m\implies-\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-16=-\cfrac{2}{3}[x-(-12)] \\\\\\ y-16=-\cfrac{2}{3}(x+12)\implies \stackrel{\stackrel{y}{\downarrow }}{0}-16=-\cfrac{2}{3}x-8\implies -8=-\cfrac{2x}{3} \\\\\\ -24=-2x\implies \cfrac{-24}{-2}=x\implies 12=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12,0) ~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-12%7D~%2C~%5Cstackrel%7By_1%7D%7B16%7D%29~%5Chspace%7B10em%7D%20slope%20%3D%20m%5Cimplies-%5Ccfrac%7B2%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-16%3D-%5Ccfrac%7B2%7D%7B3%7D%5Bx-%28-12%29%5D%20%5C%5C%5C%5C%5C%5C%20y-16%3D-%5Ccfrac%7B2%7D%7B3%7D%28x%2B12%29%5Cimplies%20%5Cstackrel%7B%5Cstackrel%7By%7D%7B%5Cdownarrow%20%7D%7D%7B0%7D-16%3D-%5Ccfrac%7B2%7D%7B3%7Dx-8%5Cimplies%20-8%3D-%5Ccfrac%7B2x%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20-24%3D-2x%5Cimplies%20%5Ccfrac%7B-24%7D%7B-2%7D%3Dx%5Cimplies%2012%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%2812%2C0%29%20~%5Chfill)
Answer:
C6 greeting cards for $23.40
Step-by-step explanation:
A. 13.5/3=4.5
B. 38.25/9=4.25
C. 23.4/6=3.9
d. 32.8/8=4.1
1. BC is 1+3=4 (units)
2. AD is 3+5= 8 (units)
3. Draw the altitude CH from point C, as shown in the figure.
4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.
5.
![CD^2=HD^2+CH^2](https://tex.z-dn.net/?f=CD%5E2%3DHD%5E2%2BCH%5E2)
![CD^2=2^2+4^2=4+16=20](https://tex.z-dn.net/?f=CD%5E2%3D2%5E2%2B4%5E2%3D4%2B16%3D20)
![CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} * \sqrt{5}=2 \sqrt{5}= 4.47](https://tex.z-dn.net/?f=CD%3D%20%5Csqrt%7B20%7D%3D%20%5Csqrt%7B4%2A5%7D%3D%20%5Csqrt%7B4%7D%20%2A%20%20%5Csqrt%7B5%7D%3D2%20%5Csqrt%7B5%7D%3D%204.47%20)
6. AB=CD=4.47 because the trapezoid is isosceles.
7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)
Answer:
Step-by-step explanation:
Attached is the solution