so the triangle has the vertices of (2, 18) (-2, -4), and (6,12), that gives us the endpoints for each line of
(2, 18) , (-2, -4)
(-2, -4) , (6,12)
(6,12) , (2, 18)
![\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-(-4)}{6-(-2)}\implies \cfrac{12+4}{6+2}\implies \cfrac{16}{8}\implies 2 \\\\\\ \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-(-4)=2[x-(-2)] \\\\\\ y+4=2(x+2)\implies y+4=2x+4\implies \blacktriangleright y=2x \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B-4%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B6%7D~%2C~%5Cstackrel%7By_2%7D%7B12%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B12-%28-4%29%7D%7B6-%28-2%29%7D%5Cimplies%20%5Ccfrac%7B12%2B4%7D%7B6%2B2%7D%5Cimplies%20%5Ccfrac%7B16%7D%7B8%7D%5Cimplies%202%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-%28-4%29%3D2%5Bx-%28-2%29%5D%20%5C%5C%5C%5C%5C%5C%20y%2B4%3D2%28x%2B2%29%5Cimplies%20y%2B4%3D2x%2B4%5Cimplies%20%5Cblacktriangleright%20y%3D2x%20%5Cblacktriangleleft)
Answer:
96
Step-by-step explanation:
Is means equals, of means multiply
48 = 1/2 N
N = 1/2 * 192 = 96
The number is 96
Answer:
y=-x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-1))/(3-(-4))
m=(-8+1)/(3+4)
m=-7/7
m=-1
y-y1=m(x-x1)
y-(-1)=-1(x-(-4))
y+1=-1(x+4)
y+1=-x-4
y=-x-4-1
y=-x-5
Please mark me as Brainliest if you're satisfied with the answer.
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
103.9 lb.
Step-by-step explanation:
T cos 30°+T cos 30°=180
2T cos 30°=180
T=103.9 lb.
