Answer:
ST = 20
Step-by-step explanation:
Line segment RS and segment ST must add up to line segment RT
Step 1: Define
RS = 17
ST = x + 6
RT = 3x - 5
Step 2: Set up equation
mRS + mST = mRT
17 + x + 6 = 3x - 5
Step 3: Solve for <em>x</em>
x + 23 = 3x - 5
23 = 2x - 5
28 = 2x
x = 14
Step 3: Find mST
ST = x + 6
ST = 14 + 6
ST = 20
Answer:
2
Step-by-step explanation:
To evaluate the expression substitute t = 4 into the expression, that is
8/t = 8/4 =2
Answer:
14 miles per hour
Step-by-step explanation:
Convert 270 minutes to hours first= 4.5hrs
Then divide 63 by 4.5= 14
84/4=21
now take the 2 even numbers below 21 and the 2 even numbers above 21
18 +20 + 22 +24 = 84
the numbers are 18, 20, 22 & 24
![\bf \begin{array}{ccllll} minutes(x)&Mbs\ left(y)\\ -----&-----\\ 2&38.4\\ 8&9.6 \end{array}\\\\ -----------------------------\\\\ slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\impliedby \textit{rate of change} \\\\\\ m=\cfrac{9.6-38.4}{8-2}\implies m=-\cfrac{24}{5}\iff m= -4.8](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccllll%7D%0Aminutes%28x%29%26Mbs%5C%20left%28y%29%5C%5C%0A-----%26-----%5C%5C%0A2%2638.4%5C%5C%0A8%269.6%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Aslope%20%3D%20%7B%7B%20m%7D%7D%3D%20%5Ccfrac%7Brise%7D%7Brun%7D%20%5Cimplies%20%0A%5Ccfrac%7B%7B%7B%20y_2%7D%7D-%7B%7B%20y_1%7D%7D%7D%7B%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%7D%5Cimpliedby%20%5Ctextit%7Brate%20of%20change%7D%0A%5C%5C%5C%5C%5C%5C%0Am%3D%5Ccfrac%7B9.6-38.4%7D%7B8-2%7D%5Cimplies%20m%3D-%5Ccfrac%7B24%7D%7B5%7D%5Ciff%20m%3D%20-4.8)
now, notice, the rate of change for downloading is negative, because, "y" is decreasing, namely the Mbs to be downloaded, are less and less and less as the minutes go by, because the file is almost fully downloaded
so is -4.8
now... at 8minutes, there are 9.6Mbs to download
bear in mind that 9.6 is just 4.8 * 2
that simply means, another minute, another 4.8 Mbs, and another minute and another 4.8 Mbs and the file is done
so, the file downloaded really in 10minutes
now, we know the rate is -4.8 or -24/5, let us nevermind the sign for now
since we know the file is downloading at 24Mbs in 5minutes, a rate of 24/5
how much is it for 10 minutes? well 10 is really just 5 * 2
so if it downloads at a rate of 24Mbs per 5mins, in 10 minutes it downloaded 24*2 or 48Mbs