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2 years ago

Find the distance between the points (2,8) and (-1,9)

Mathematics

1 answer:

Sphinxa [80]2 years ago

7 0

Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)

Plug in:

D=sqrt((9-8)^2+(-1-2)^2)

D=sqrt(1^2+(-3)^2)

D=sqrt(1+9)

D=sqrt(10)

So the distance is about 3.16 units

Hope this helped!

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Answer:

no solutions

Step-by-step explanation:

n+(-n) = 3+ 15

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0= 18

False

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7 0

2 years ago

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

blondinia [14]

Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

$f(t) = a (1 - r)^{t}$

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

$= \frac{3.2}{100}$

= 0.032

Put in the formula

$f(t) = 451400 (1 - 0.032)^{t}$

$f(t) = 451400 (0.968)^{t}$

Therefore the decrease in the population of the city after t years is represented by

$f(t) = 451400 (0.968)^{t}$

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2 years ago

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2 years ago

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