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Elden [556K]
3 years ago
8

The center of a circle is the point (3, 2). if the point (6, −2) lies on this circle, find the standard equation for the circle.

Mathematics
1 answer:
garri49 [273]3 years ago
5 0
Given 
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)

Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2

r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)

=> 
r^2=(sqrt(25))^2=25

Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25   ............... standard equation of circle
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3 years ago
What is the answer to -6n^2 - 5n - 7 = -8
soldi70 [24.7K]

Answer:

n = \frac{1}{3} , n = \frac{1}{2}

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = \frac{1}{2}

7 0
3 years ago
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3 years ago
Kanesha wants to find out if people in her community would support turning an unused park into a dog park. Which populations wou
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The most likely populations that Kanesha can pick an appropriate sample for the survey is: <u><em>people who live near the unused park.</em></u>

When running a survey, it is important to use a sample that represents the target population that can sufficiently provide answers to the questions you seek to ask.

Using the a sample from the right population will give you enough data to carryout a survey. The people living close to the unused park would definitely be affected by whatever establishment that is done in the unused park.

Therefore, the most likely populations that Kanesha can pick an appropriate sample for the survey is: <u><em>people who live near the unused park.</em></u>

<u><em /></u>

Learn more about survey on:

brainly.com/question/14610641

7 0
2 years ago
Read 2 more answers
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