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xenn [34]
3 years ago
7

12. Find the distance between points P(-1, 2) and Q(-3, 4).​

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Answer:

D=2.82

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where

(x_1,y_1) = (-1,2)

(x_2,y_2) = (-3,4)

Replacing these values in the distance formula

D =\sqrt{(-1-(-3))^2+(2-4)^2}

D =\sqrt{(-1+3)^2+(-2)^2}

D =\sqrt{(2)^2+4}

D =\sqrt{4+4}

D =\sqrt{8}

D= 2.8284

Hence the Distance is 2.82 units

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Answer:

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Step-by-step explanation:

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Determine the amount of money you would have if you invested $25,000 dollars for 12 years at 5.5% annual interest, compounded co
aev [14]
The first one is the correct answer, just finished it 
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3 years ago
What is the solution to this equation?<br><br> 0.25 (16x + 12) + 2x = 33
WITCHER [35]
.25(16x + 12) + 2x = 33
The first step is to distribute the .25 to what's inside the parentheses! 
((16x*.25) +(12*.25)) + 2x = 33
Simplify...
4x + 3 +2x = 33
Add like terms...
6x + 3 = 33
Subtract three from both sides
6x + 3 - 3 = 33 - 3
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Divide each side by six
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That's your answer; x = 5! Hope this helped :)
5 0
3 years ago
Read 2 more answers
The savings in a bank account can be modeled using S = 1250e^0.45t, where t is the number of years the
morpeh [17]

Using the given exponential function, it is found that it will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

<h3>Exponential function:</h3>

The <em>exponential function</em> that models the savings in the bank account is given by:

S(t) = 1250e^{0.45t}

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The time to double from the initial amount deposited of $1250 is t for which S(t) = 2(1250) = 2500, hence:

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e^{0.45t} = \frac{2500}{1250}

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0.45t = \ln{2}

t = \frac{\ln{2}}{0.45}

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It will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

To learn more about exponential functions, you can take a look at brainly.com/question/14855561

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Help please are fractions help!!!!! thanks
Brrunno [24]

Answer:

See below

Step-by-step explanation:

To solve a proportion ( an equation with two equal fractions), cross multiply by  multiplying numerator and denominator of each fraction.

8/5=24/h                               8h = 5*24                    8h = 120              h=15

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h/5=24/8                               8h =5*24                     8h = 120              h=15

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h/5=8/24                             24h =5*8                      24h = 40             h = 5/3

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