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slavikrds [6]
3 years ago
5

(2, 7) and (-4,1) In point slope form

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

First you need to find the slope with this equation.

<h3>m=\frac{y2-y1}{x2-x1}  m=slope</h3><h3>m=\frac{1-7}{-4-2}</h3><h3>m=\frac{-6}{-6}</h3><h3>m=1</h3>

So the point slope form formula is:

<h3>y-y1=m(x-x1)</h3><h3>y-7=1(x-2)</h3><h3>y-7=x-2</h3>

y=x-2+7\\y=x+5This is the point slope form.I hope this help.

Please give me the brainliest

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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
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Answer:

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Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

  • f(t) is the remaining quantity of a substance after time t has elapsed.
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since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

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Combine Like Terms:

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