Answer:
x= 18
Step-by-step explanation:
A vertical line has a has a constant value of x
(18,22) has a value of 18 for x
x=18
![\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = 4\frac{2}{3}x\qquad \qquad yes\qquad \checkmark\qquad \qquad k = 4\frac{2}{3} \\\\[-0.35em] ~\dotfill\\\\ y=3(x-1)\implies \stackrel{\textit{distributing}}{y=3x-3}\qquad \qquad yes\qquad \checkmark \qquad \qquad k=3](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdirect%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20directly%20with%20%5Cunderline%7Bx%7D%7D%5Cqquad%20%5Cqquad%20y%3Dkx%5Cimpliedby%20%5Cbegin%7Barray%7D%7Bllll%7D%20k%3Dconstant%5C%20of%5C%5C%20%5Cqquad%20variation%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20y%20%3D%204%5Cfrac%7B2%7D%7B3%7Dx%5Cqquad%20%5Cqquad%20yes%5Cqquad%20%5Ccheckmark%5Cqquad%20%5Cqquad%20k%20%3D%204%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20y%3D3%28x-1%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bdistributing%7D%7D%7By%3D3x-3%7D%5Cqquad%20%5Cqquad%20yes%5Cqquad%20%5Ccheckmark%20%5Cqquad%20%5Cqquad%20k%3D3)
bear in mind that, direct proportional equations have a y-intercept.
for y = kx, is pretty much y = kx + 0, where 0 = y-intercept.
and the "k" constant of proportionality, is pretty much just its slope.
Answer:
16
Step-by-step explanation:
Adam is building birdhouses that requires
i.e 0.5 feet long boards.
Now, he has an
i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.
We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.
Now,
So, there can be 16 whole board of exact length 0.5 feet. (Answer)
Answer:
It has a scalar factor of 2.5
Step-by-step explanation:
You can just look at the bottom, the first shape has a bottom of 4 square while the second image has a bottom of 10 squared. You can divide the two to get the scaling factor. 10/4 = 2.5
You can also see one of the side square
Area=l*b, L=(x+5) And B=x, Area=6. 6=(x+5)(x), 6=x^2+5x, X^2 +5x-6=0,