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3 years ago

The circle below is centered at the point (4,3) and has a radius length 5. What is its equation

1 answer:

6 0

Well, equation of circle is (X-X1)^2 + (Y-Y1)^2 = R^2

so, (X-4)^2 + (Y-3)^2 = 25

X^2 + 16 -8X + Y^2 + 9 - 6Y = 25

X^2 + Y^2 - 8X - 6Y = 0

this is the correct answer hope it helped :)
inbox me and tell me if it was correct or not

You might be interested in

What is the distance from the point (3,8) to the point (7,-6)?

oksano4ka [1.4K]

Answer: Distance is 14.6

Step-by-step explanation:

$d = √((x2-x1)2 + (y2-y1)2)$

$(x2-x1) = (7 - 3) = 4$

$(y2-y1) = (-6 - 8) = -14$

add it all together

$(4)2 + (-14)2 = 16 + 196 = 212$

Square 212

$\sqrt{212} =14.5602$

round to the nearest tenth

=14.6

PLEASE MARK BRAINLIEST

5 0

3 years ago

Read 2 more answers

Can someone smart please help me?

ollegr [7]

Hello!

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs.

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.

So there are 44 chickens and 2 rabbits.

b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

5.25 - 3.05 = 2.20

And you divide to find the number of adult tickets.

193.6 / 2.2 = 88

Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.

7 0

3 years ago

A university administrator was interested in determining if there was a difference in the distance students travel to get from c

eduard

Answer:

1) Fail to reject the Null hypothesis

2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

$H_{o}: \mu_{F}-\mu_{M}=0\\\\ H_{a}: \mu_{F}-\mu_{M}\neq 0$

The results of his tests are:

t-value = -1.05

p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

If p-value is equal to or less than the significance level, then we reject the null hypothesis
If p-value is greater than the significance level, we fail to reject the null hypothesis.

No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

Conclusion:

We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

7 0

3 years ago

Choose the polynomial written in standard form.

Semenov [28]

Answer:

$x^4 + 4x^3 + 10x$

Step-by-step explanation:

A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,

In polynomial,

$x^2 + 4x^4 + 10x^6$ ,

Degrees are written in increasing order,

⇒ It is not written in standard form,

In polynomial,

$x^4 + 4x^3 + 10x$ ,

Degrees are written in decreasing order,

⇒ It is written in standard form,

In polynomial,

$x^7 + 4x^3 + 10x^4$ ,

There is no order of degrees,

⇒ It is not written in standard form,

In polynomial,

$x^6 + 4x^3 + 10x^7$ ,

There is no order of degrees,

⇒ It is not written in standard form,

4 0

2 years ago

Read 2 more answers

Can anyone help me out with this please

musickatia [10]

First, let's factor the equation to make it easier to solve for the intercepts:

f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)

To find the x-intercepts of a function, set the y value (f(x)) to 0:

0 = (x + 8)(x + 4)
x = -8, -4

Similarly, to find the y-intercept, set the x values to 0:

f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32

*Note that you can see 32 as the y-intercept in the parabola's original equation

4 0

2 years ago