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3 years ago

I need help please???!

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer:

6x-12

Step-by-step explanation:

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21. The equation x² + y² - 6x + 8y = 74<br> represents circle C.<br> What is the radius of circle C?

marin [14]

Answer:

The radius is $3\sqrt{11}$ .

Step-by-step explanation:

The standard equation for a circle is $(x-h)^2+(y-k)^2=r^2$ .

I like to call this form center-radius form because it tells you the center (h,k) and the radius r.

So we put it in this form to determine r, the radius, which is the desired value here.

We will need to complete the square.

Thankfully there is a formula to take more thinking out of the process:

$x^2+dx+(\frac{d}{2})^2=(x+\frac{d}{2})^2$ .

Let's begin:

$x^2+y^2-6x+8y=74$

Reorganize the equation so the x's are together and the y's are together.

$x^2-6x+y^2+8y=74$

Now time to being completing the square. Keep in mind whatever you add to one side you need to add the other side to keep the equation equivalent to what it once was.

$x^2-6x+(\frac{-6}{2})^2+y^2+8y+(\frac{8}{2})^2=74+(\frac{-6}{2})^2+(\frac{8}{2})^2$

Use the other side of the formula I mentioned for completing the square:

$(x+\frac{-6}{2})^2+(y+\frac{8}{2})^2=74+(-3)^2+(4)^2$

$(x-3)^2+(y+4)^2=74+9+16$

$(x-3)^2+(y+4)^2=74+25$

$(x-3)^2+(y+4)^2=99$

So the center is (3,-4).

The radius is $\sqrt{99}$ .

You can actually simplify the radius since 99 contains a factor that is a perfect square.

$\sqrt{99}=\sqrt{9}\sqrt{11}=3\sqrt{11}$

7 0

4 years ago

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Use the degit 8, 7, and 3 to make a 3-digit number

alina1380 [7]

783 you just make a number out of those digits.

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4 years ago

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1 + 1 (just giving away ponits)

vladimir2022 [97]

Answer:

2 pls give me brainliest im about to level up

Step-by-step explanation:

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3 years ago

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In a class of 6, there are 2 students who forgot their lunch. If the teacher chooses 2 students, what is the probability that bo

zimovet [89]

Answer:

1/15

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

2/6 x 1/5 = 1/15

8 0

3 years ago

Viola can work no more than 11 hours a week at her part-time job. She gets paid $7.75 per hour. Let p stand for the amount she g

Morgarella [4.7K]

The domain is 11 and the rang is $7.75.

Domain= X- values
Range= differences between the highest & lowest value

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3 years ago