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2 years ago

What is the distance between the points (2,-3) and (-6,4) on the coordinate plane?

Mathematics

2 answers:

Verdich [7]2 years ago

8 0

d = sqrt (2-(-6))² + (-3-4)²)

d = sqrt ( 8² + 7² )

d = sqrt ( 64 + 49 )

d = sqrt (113)

Answer: The distance between the two points is roughly 10,63:

Mariana [72]2 years ago

8 0

The distance between the two points is roughly 10,63

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Solve the inequality. –5r+3≥-2

andrew-mc [135]

Answer:

the answer is r<1 that's the inequality

5 0

2 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The integrating factor is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

3 years ago

Mr.george owns 425 acres of land.if he divides the land into half-acre plots,how many plots will he have?

tatiyna

850
All you do is times 425 by 2
425×2
850
hope this helps

6 0

2 years ago

Evaluate 2x - Y when x= 5, y=3

Allushta [10]

Answer:

the answer is 7

Step-by-step explanation:

2x-y

2*5 - 3

10 - 3

7 0

2 years ago

M+3=5:m=? please give me explained

storchak [24]

Answer: M = 2

Step-by-step explanation:

Given equation: m+3=5

You need to isolate m so you can find its value. Subtract 3 from the left side, and do the same to the right side. Subtracting 3 from 5 as well makes the number become 2 on the right side of the equation. Therefore, m=2.

A rule you should always remember is when you have a value on each side of the equal sign, whatever form of addition, subtraction, multiplication, or division should be done to the other side as well.

6 0

2 years ago