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Delicious77 [7]
2 years ago
8

Find the distance between points P(1, 2) and Q(4, 8) to the nearest tenth. i neeeeeed help

Mathematics
1 answer:
Stella [2.4K]2 years ago
5 0
The answer is
the vector PQ has (4-1, 8-2) as components, so it is vecPQ= (3, 6)
using the definition
the distance PQ= sqrt ( 3²+6²)= sqrt(9+36)=sqrt(45)
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Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he
Rudiy27

Answer:

50%

Step-by-step explanation:

Hope it helps

3 0
3 years ago
The larger of to numbers is 12 more than the smaller. Their sum is 84. What are the two numbers?
Nataly_w [17]
36 and 48

a = b+12
a+b = 84

(b+12) + b =84
2b +12 = 84
2b = 72
b= 36

a = b + 12
a = 36 + 12
a = 48
3 0
3 years ago
Determine, to the nearest tenth of a year, how long it would taken an investment to double at a 3 3/4% interest rate, compounded
Stella [2.4K]

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

investment to double at a 3 3/4% interest rate,

<h3>When will the investment double in value?</h3>

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

<h3>What is the formula of an exponential function?</h3>

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

t= 18.5 years

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7 0
2 years ago
Help! You can look at the picture please
viva [34]

Answer:

\frac{3x}{3 - 2x}

Step-by-step explanation:

Here,

f(x) = y

y =  \frac{3x}{2x + 3}

or , swapping x with y

x =  \frac{3y}{2y + 3}

now to solve for y we get

y =  \frac{3x}{3 - 2x}

now we put f inverse x instead of y

{f}^{ - 1} (x) =  \frac{3x}{3 - 2x}

I am done.

4 0
3 years ago
Read 2 more answers
The function y = sin 2 (x – π∕2) has a period of Question 2 options: A) 4π. B) π. C) 2π. D) π∕2.
masya89 [10]

Answer:

B) π

Step-by-step explanation:

y = sin 2 (x – π∕2)

y = sin (2x -π)

=> 2x = 2π

x = π

5 0
2 years ago
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