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erica [24]
4 years ago
8

A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?

Mathematics
1 answer:
Zigmanuir [339]4 years ago
8 0

Answer:

<u><em>6</em></u>

Step-by-step explanation:

Hey there) The formula of your line is:

-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\

If point has y=-4, then:

-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6

Hope this helps) Have a nice day/night :)

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
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Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

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So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

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Hannah 7.5
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Let us first write down the weight of the three individual people mentioned in the question. this will help in solving the problem.
Weight of Hannah = 7.5
Weight of Wilson = 11.6
Weight of Dillon = 28.9
Now
Combined weight of Hannah and Dillon = 7.5 + 28.9
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Now
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Hannah and Dillon and the individual weight of Wilson = 36.4 - 11.6
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So the difference between the combined weight of Hannah and Dillon with the individual weight of Wilson is 24.8
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