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Svetradugi [14.3K]
3 years ago
15

Write an equation in standard form for the circle?

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

<h2>(x - 3)² + (y - 5)² = 64</h2>

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

Look at the picture.

We have

center at (3, 5) → h = 3 anf k = 5

radius r = 8

Substitute:

(x-3)^2+(y-5)^2=8^2\\\\(x-3)^2+(y-5)^2=64

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A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9
AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).  

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct  correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0
3 years ago
A car travels at 20 meters per second.
7nadin3 [17]

Answer:

   72 km/hour

Step-by-step explanation:

20 m/s × (1 km/(1000 m)) × (3600 s/h) = 72 km/h

The rate is 72 kilometers per hour.

3 0
3 years ago
Read 2 more answers
If a circle has a diameter of 30 meters, which expression gives its area in
sattari [20]

Answer:

C. 15²π

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>Geometry</u>

  • Diameter: d = 2r
  • Area of a Circle: A = πr²

Step-by-step explanation:

<u>Step 1: Define</u>

d = 30 m

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

  1. Substitute [D]:                    30 m = 2r
  2. Isolate <em>r</em>:                             15 m = r
  3. Rewrite:                              r = 15 m
  4. Substitute [AC]:                 A = π(15 m)²
  5. Rearrange:                        A = 15²π
3 0
3 years ago
Yo, 10⁶ ÷2⅗ simplified?​
ziro4ka [17]

10 to the sixth power = 1,000,000

1,000,000 ÷ 2 3/5 = 384615.384615

ANSWER : 384615.384615

8 0
3 years ago
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Babby needs some help!
natka813 [3]

Answer:

(5,-3)

Step-by-step explanation:

4 0
3 years ago
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