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AnnyKZ [126]
3 years ago
10

(25 POINTS) *2 questions*

Mathematics
2 answers:
irina [24]3 years ago
8 0
1. y=-4x+64, as the y-intercept is 64
2. 5, as the slope is positive and greater than one
Misha Larkins [42]3 years ago
7 0

1. y=-4x+64, y-intercept = 64

2.  5

- slope is positive

- greater than one

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If A= (0,0) and B = (2,5) what is the appropriate length of AB
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recall your d = rt, distance = rate * time.


let's say we have two trains, A and B, A is going at 85 mph and B at 65 mph.


they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.


When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Train A}&d&85&t\\ \textit{Train B}&210-d&65&t \end{array}\\\\ \dotfill\\\\ \begin{cases} \boxed{d}=85t\\ 210-d=65t\\[-0.5em] \hrulefill\\ 210-\boxed{85t}=65t \end{cases} \\\\\\ 210=150t\implies \cfrac{210}{150}=t\implies \cfrac{7}{5}=t\implies \stackrel{\textit{one hour and 24 minutes}}{1\frac{2}{5}=t}

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<em>Venn diagram of b union b is in the attachment </em>

<em>Hope </em><em>it </em><em>is </em><em>helpful</em><em> to</em><em> you</em>

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