We call m the slope<span> or gradient of the </span>line<span>. It </span>represents<span> the change in y-value </span>per<span> unit change in x-value. For example, consider the </span>line<span> given by the equation y = 2x + 1. Here are some points on the </span>line<span>. ~hope that helps</span>
Answer:
Step-by-step explanation:
x = 8 ; y = 5/3

![\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%5Bx%282y%2B3z%29%5D%20%3D%5Cdfrac%7B1%7D%7B4%7D%5B8%2A%282%2A%5Cdfrac%7B5%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B3%7D%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%288%2A%28%5Cdfrac%7B10%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B3%7D%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%288%2A%5Cdfrac%7B15%7D%7B3%7D%29%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D%2A8%2A5%5C%5C%5C%5C%3D2%2A5%5C%5C%5C%5C%3D10)
Check the picture below.
now, you can pretty much count the units off the grid for the segments ST and RU, so each is 7 units long, and are parallel, meaning that the other two segments are also parallel, and therefore the same length each.
so we can just find the length for hmmmm say SR, since SR = TU, TU is the same length,
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ S(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad R(\stackrel{x_2}{-5}~,~\stackrel{y_2}{5})\qquad \qquad % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ SR=\sqrt{[-5-(-2)]^2+[5-1]^2}\implies SR=\sqrt{(-5+2)^2+(5-1)^2} \\\\\\ SR=\sqrt{(-3)^2+4^2}\implies SR=\sqrt{25}\implies SR=5](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%0A%5C%5C%5C%5C%0AS%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B1%7D%29%5Cqquad%20%0AR%28%5Cstackrel%7Bx_2%7D%7B-5%7D~%2C~%5Cstackrel%7By_2%7D%7B5%7D%29%5Cqquad%20%5Cqquad%20%0A%25%20%20distance%20value%0Ad%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0ASR%3D%5Csqrt%7B%5B-5-%28-2%29%5D%5E2%2B%5B5-1%5D%5E2%7D%5Cimplies%20SR%3D%5Csqrt%7B%28-5%2B2%29%5E2%2B%285-1%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0ASR%3D%5Csqrt%7B%28-3%29%5E2%2B4%5E2%7D%5Cimplies%20SR%3D%5Csqrt%7B25%7D%5Cimplies%20SR%3D5)
sum all segments up, and that's perimeter.
<span> y+15.5=|x|
</span><span> y=|x|-15.5 </span>
Answer:
Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command
(a) Two pairs of opposite sides are
,
and
,
(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM
(c) Two pairs of adjacent sides are
,
and
, 
(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM
Step-by-step explanation: