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3 years ago

Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation

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Svetlanka [38]

Alright, let's interpret it, first.

The question is asking us to first find two percent of 23,000, then right an equation.

Alright, first, let's find two percent of 23,000. To find that we must do 0.02*23,000

I got 460

So we know that Mastertown's population is increasing by 460 people per year. All we have to do now is plug that into the equation.

Population (y)= 460* amount of years (x)

So our final equation is y = 460x

Hope this helped! Ask any questions about it!

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3 years ago

A box contains 25 crayons. There are 8 red crayons and 6 yellow crayons and the rest are blue

lawyer [7]

Answer:

0.44

Step-by-step explanation:

im pretty sure it is 0.44 because of the division.

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3 years ago

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Vesna [10]

Answer:

Step-by-step explanation:

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2 years ago

The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14

evablogger [386]

Answer:

$-0.0002x^2 +26x-120000$

Step-by-step explanation:

The correct question should be:

We have been told that all we have to do to get profit is to subtract the cost from revenue.

Revenue = $40x - 0.0002x^2$

Cost = $14x + 120,000$

Hence:

Profit = $40x - 0.0002x^2 - (14x + 120000)$

$40x - 0.0002x^2 - 14x - 120000\\\\40x - 14x - 0.0002x^2 - 120000\\\\26x - 0.0002x^2 - 120000$

Putting it in ordered form:

$-0.0002x^2 +26x-120000$

This is an expression for the profit.

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3 years ago

Suppose a certain computer virus can enter a system through an email or through a webpage. There is a 40% chance of receiving th

DedPeter [7]

Answer:

P = 0.42

Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

-Set A, that is the probability of receiving this virus through the email.

-Set B, that is the probability of receiving it through the webpage.

The most important information in these kind of problems is the intersection. That is, that he virus enters the system simultaneously by both email and webpage with a probability of 0.17. It means that $A \cap B$ = 0.17.

By email only

The problem states that there is a 40 chance of receiving it through the email. It means that we have the following equation:

$A + (A \cap B) = 0.40$

$A + 0.17 = 0.40$

$A = 0.23$

where A is the probability that the system receives the virus just through the email.

The problem states that there is a 40% chance of receiving it through the email. 23% just through email and 17% by both the email and the webpage.

By webpage only

There is a 35% chance of receiving it through the webpage. With this information, we have the following equation:

$B + (A \cap B) = 0.35$

$B + 0.17 = 0.35$

$B = 0.18$

where B is the probability that the system receives the virus just through the webpage.

The problem states that there is a 35% chance of receiving it through the webpage. 18% just through the webpage and 17% by both the email and the webpage.

What is the probability that the virus does not enter the system at all?

So, we have the following probabilities.

- The virus does not enter the system: P

- The virus enters the system just by email: 23% = 0.23

- The virus enters the system just by webpage: 18% = 0.18

- The virus enters the system both by email and by the webpage: 17% = 0.17.

The sum of the probabilities is 100% = 1. So:

P + 0.23 + 0.18 + 0.17 = 1

P = 1 - 0.58

P = 0.42

There is a probability of 42% that the virus does not enter the system at all.

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3 years ago