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2 years ago

What is the slope of (1,2) (-3,-9)

Mathematics

2 answers:

kati45 [8]2 years ago

8 0

Answer:

(11/4) is the slope

Step-by-step explanation:

1) Subtract the second y value (-9) by the first y value (2) in the coordinates. This equals 11.

2) Then, subtract the second x value (-3) by the first x value (1) in the coordinates. This equals 4.

3) Divide the answer you get for step one by the answer for step 2 and that's your slope. 11/4

Zigmanuir [339]2 years ago

3 0

Step-by-step explanation:

Hey there!

The given points are; (1,2) and (-3,-9).

Use slope formula for finding the slope.

$slope(m) = \frac{y2 - y1}{x2 - x1}$

Put all values.

$m = \frac{ - 9 - 2}{ - 3 - 1}$

Simplify it.

$m = \frac{ - 11}{ - 4}$

Therefore, the slope is m= 11/4.

Hope it helps...

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

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The drill team at Hill Middle School made 120 spirit pins to sell for a fundraiser. After the fundraiser, the team had 18 pins l

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Answer:

Step-by-step explanation:

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