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1 year ago

A circle has center

1 answer:

5 0

Note that the equation of the circle is

(x-h)² +(y-k)² =r²

where centre is (h,k)

the equation of the circle based on the information given

(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)

substitute into the equation

(3-3)² +(-2-4)² =r²

r=6 or r=-6

since r is radius, we reject r=-6 since radius must be nonnegative.

the radius is 6

You might be interested in

In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi

UkoKoshka [18]

Answer:

$x = \frac{4}{9}$

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

$x = 0.444$

Convert to fraction

$x = \frac{444}{1000}$

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

$x = \frac{444}{1000 - 1}$

$x = \frac{444}{999}$

Simplify to the lowest term: Divide numerator and denominator by 37

$x = \frac{444/37}{999/37}$

$x = \frac{12}{27}$

Simplify to the lowest term: Divide numerator and denominator by 3

$x = \frac{12/3}{27/3}$

$x = \frac{4}{9}$

Hence;

There winning fraction is $\frac{4}{9}$

8 0

2 years ago

He earned a salary of $80,000 last year and sold stocks for $5,000. Which of the following types of income did Padraig have?

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

There are 3 main types of income one can generate. They are termed as the earned income, the passive income and the capital gains income. Earned income is the compensation you get from working or offering a service. Passive income is the type of income you generate from what you own or your assets. Lastly, Capital gains income, also called "portfolio income", is the money generated from selling investments at a much higher price. Padraig have two type of income here. He had earned income by receiving the $80000 salary and he had capital gains income for selling stocks for $5000.

3 0

2 years ago

Omgggggggggggggggggggggg I need help

Lina20 [59]

Its 5 yd i think. i hope it helped

8 0

3 years ago

Read 2 more answers

Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)

love history [14]

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

$y=85+5x$

Buttercup starts with $10 and saves $20 per week. So:

$y=10+20x$

When they have the same amount of money, the two equations will be equal to each other. Therefore:

$85+5x=10+20x$

Solve for x. Subtract 10 from both sides:

$75+5x=20x$

Subtract 5x from both sides:

$75=15x$

Divide both sides by 15:

$x=5$

Westley and Buttercup will have the same amount of money after 5 weeks.

5 0

2 years ago

We are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without

serious [3.7K]

Answer:

Step-by-step explanation:

given that we are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.

Sample size = 765

Favour = 322

a) The population is the adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt

b) The parameter being estimated is the population proportion P of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.

c) point estimate for proportion = sample proporiton = $\frac{322}{765} \\=0.4209$

d) We can use test statistic here as for proportions we have population std deviation known.

d) Std error = 0.01785( $\sqrt{\frac{pq}{n} }$

Test statistic Z = p difference / std error

f) when estimated p is 0.50 we get Z = -4.43

g) Is true population value was 40% then

Z = 1.17 (because proportion difference changes here)

7 0

3 years ago