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Finger [1]
3 years ago
9

Identify the center and radius of each circle.

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

1. Centre = (1,-3); r = 2;  

2. Centre = (2,-1); r = 4  

Step-by-step explanation:

1. (x - 1)² + (y + 3)² = 4

The centre-radius equation for a circle is

(x - h)² + (y - k)² = r²

The centre of the circle is at (h, k) and the radius is r.

By comparing terms in the two equations we see that

h = 1, k = -3, r = 2

Centre = (1,-3); r = 2

2. (x - 2)² + (y + 1)² = 16

Here,

h = 2, k = -1, r = 4

Centre = (2,-1); r = 4

The figure below shows the first circle in red and the second in green.

 

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In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation
vampirchik [111]

Answer:

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

The graph will look like the graph in the attachment below.

A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.

A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.

That is:

Number of books = independent variable

Cost ($) = dependent variable

A change in the number of books will cause a change in the cost you will pay for buying books.

This shows a direct proportional relationship between the two quantities.

On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.

Therefore:

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

Step-by-step explanation:

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3 0
3 years ago
Find the slope of the line
alekssr [168]

Answer:

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Step-by-step explanation:

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3 0
4 years ago
Which fraction is equivalent to -3/2
VARVARA [1.3K]
I think the orange one is correct.
4 0
3 years ago
Read 2 more answers
If there's 15 players total 1/3 are wearing red shoes 2/5 or wearing blue shoes and everyone else is wearing black shoes what is
Volgvan

Answer:

\frac{4}{15} is the fraction of people wearing with black shoes.

Step-by-step explanation:

Given:

If there's 15 players total, 1/3 are wearing red shoes, 2/5 are wearing blue shoes and everyone else is wearing black shoes.

Now, to find the fraction of people with black shoes.

Total players = 15.

Fraction of people wearing red shoes = \frac{1}{3}.

So, number of people are wearing red shoes:

\frac{1}{3} \times 15\\\\=5.

Fraction of people wearing blue shoes = \frac{2}{5} .

Thus, number of people wearing blue shoes:

\frac{2}{5} \times 15\\\\=6.

And rest are wearing black shoes.

Now, to get the number of people wearing black shoes by subtracting number of people are wearing red shoes and blue shoes from the total number of players:

15-5-6\\\\=15-11\\\\=4.

Thus, the fraction of people wearing black shoes:

\frac{Number\ of\ people\ wearing\ black\ shoes}{Total\ number\ of\ players}

= \frac{4}{15} .

Therefore, \frac{4}{15} is the fraction of people wearing with black shoes.

6 0
4 years ago
USE the RULE (x,y) -----> (x - 2, y - 4) to graph the image of this rectangle.
Olin [163]
So for example B(4,1) so x=4, y=1
->B'(4-2,1-4)
->B'(2,-3)

->A'(1-2,1-4)
->A'(-1,-3)

->C'(4-1,-2-4)
->C'(3,-6)

->D'(1-2,-2-4)
->D'(-1,-6)

so the image of the rectangle ABCD->A'B'C'D'
3 0
3 years ago
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