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Umnica [9.8K]
3 years ago
13

Determine the equation of a circle with the center (8,10) and radius 6​

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calculus</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k) </em>is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em>(h, k)</em> = (8, 10)

<em>r</em> = 6

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Center Circle Formula]:                                             (x - 8)² + (y - 10)² = 6²
  2. Evaluate exponents:                                                                                         (x - 8)² + (y - 10)² = 36
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liraira [26]

Using correlation coefficients, it is found that a coefficient of -1 represents a strong negative correlation.

<h3>What is a correlation coefficient?</h3>

  • It is an index that measures correlation between two variables, assuming values between -1 and 1.
  • If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
  • If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

For this problem, we have a correlation coefficient of -1, hence it means that:

  • The relation is negative, as -1 is a negative number.
  • The relation is strong, as the absolute value of the coefficient is of 1, which is greater than 0.6.

More can be learned about correlation coefficients at brainly.com/question/25815006

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7 0
2 years ago
Can I get some help on these two
tia_tia [17]

9514 1404 393

Answer:

  cone: 138.16 in²

  pyramid: 352 m²

Step-by-step explanation:

Use the appropriate formula from your list of area and volume formulas.

<u>Area of a Cone</u>

  A = πr(r +h) . . . . . where r is the radius and h is the slant height

The radius is half the diameter, so is 4 inches.

  A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²

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<u>Lateral Area of a Square Pyramid</u>

  A = 2sh . . . . . where s is the side length of the base and h is the slant height

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3 0
3 years ago
At a drive through restaurant Juan’s family ordered a small drink and m medium drinks. Alex’s family ordered m medium drinks and
sertanlavr [38]

<u>Answer: </u>

Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.

<u>Solution: </u>

Given that  

Juan’s family ordered a small drink and m medium drinks.

Alex family ordered m medium drinks and a large drink.

Need to write an algebraic expression which shows total cost of both order in dollars.

Let’s assume cost of one small drink = x

And assume cost of one medium drink = y

And assume cost of one large drink = z

So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 \times x + m \times y

= x + my

And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink

= m x y + 1 x z

=my + z

So total cost of both order in dollars = x + my + my + z = x + 2my + z

Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.  

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Answer:

c

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because you can simplify 4/6 by 2.

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2 years ago
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