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Alborosie
3 years ago
10

Find the distance between the points (a1, b1) and (a2, b2).

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Step-by-step explanation:

Let there be point X whose coordinates are (a2,b2) and point Y whose coordinates are (a1,b1)

Using distance formula ,

\sqrt{ ({a}^{2} -  {a}^{1}) + ( {b}^{2} -  {b}^{1}  )  }

where \:  {a}^{2 }  >  {a}^{1}   \: and \: \:   {b}^{2}  >  {b}^{1}

If \:  {a}^{1} > {a}^{2} \: and \: {b}^{1}>{b}^{2}

Distance formula will be

\sqrt{({a}^{1} - {a}^{2}) + ({b}^{1} - {b}^{2})}

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Answer: $ 18681.45

Step-by-step explanation:

Given: Future value : FV=\$25,000

The rate of interest : r=0.06

The number of time period : t=5

The formula to calculate the future value is given by :-

\text{Future value}=P(1+i)^n, where P is the initial amount deposited.

\Rightarrow\ 25000=P(1+0.06)^5\\\\\Rightarrow\ P=\dfrac{25000}{(1.06)^5}\\\\\Rightarrow\ P=18681.4543217\approx=18681.45

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3 years ago
Whats the root number for 64
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2 years ago
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What does ia straight mean?
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The sugar maple tree in Joshua's yard is the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is t
tiny-mole [99]

Complete question :

The sugar maple tree in Joshua's yard is 1/4 the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?

Answer:

80 years

Step-by-step explanation:

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Sugar maple tree = 1/4 age of oak tree

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3 0
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These tables of values represent continuous functions. In which table do the values represent an exponential function?
vichka [17]

Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

\frac{f(2)}{f(1)}=\frac{6}{3}=2

\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}

2\neq \frac{3}{2}

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

\frac{f(2)}{f(1)}=\frac{6}{2}=3

\frac{f(3)}{f(2)}=\frac{18}{6}=3

3=3

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}

\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}

\frac{11}{5}\neq \frac{17}{11}

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

\frac{f(2)}{f(1)}=\frac{8}{7}

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\frac{8}{7}\neq \frac{9}{8}

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

3 0
2 years ago
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