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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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The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and
olchik [2.2K]

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

Hence,

a: b + 4 = 3 : 3

a/b + 4 = 3/3

Cross Multiply

3a = 3(b + 4)

3a = 3b + 12 ........ Equation (2)

From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

3a = 3b + 12 .........Equation 2

3(3b/2) = 3b + 12

9b/2 = 3b + 12

Cross Multiply

9b = 2(3b + 12)

9b= 6b + 24

9b - 6b = 24

3b = 24

b = 8

Substitute 8 for b in Equation 1

a = 3b/2

a = 3 × 8/2

a = 24/2

a = 12

Therefore, the number of boys in the class is 12

7 0
3 years ago
Clara has a package of six cookies she wants to share equally among her friends if Claire make sure that each piece of cookie wi
Nikolay [14]

Answer:

Clara can feed 10 friend

I may be wrong, but I tried :P

8 0
3 years ago
Round each number  to the nearest tenth what is the best estimate for the answer to 38.94+65.43
mel-nik [20]
38.94 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down

38.94

The number is 4, so we round down. 38.94 becomes 38.9

65.45 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down.

65.43

The number is 3, so we round down. 65.43 becomes 65.4

38.9+65.4= 104.3

If you were to estimate 38.94+65.43, we round the number to numbers that we can easily calculate in our head. 38.94+65.43 becomes 40+65

40+65=105
5 0
4 years ago
Read 2 more answers
Find the EQUATION of the line with exact numbers
Daniel [21]
You need to know where the line crosses the y axis (vertical) - AKA the y intercept, and the slope of the line.
The y intercept is 5. The slope is -1/3 because every time the line goes down one square, it also goes right three squares.
Equation:
y=mx+b
where m is the slope and b is the y intercept
y = 1/3x + 5
Another way to write the same thing
y = x/3 + 5
Both correct!
6 0
3 years ago
Read 2 more answers
Will give Brainliest to whoever can help me
Murrr4er [49]

Answer:

-4/3, -0.4, 0.8, \sqrt 2, \sqrt 11

Step-by-step explanation:

-4/3 equals -1.333(repeating)

\sqrt 2 = 1.4

\sqrt 11 = 3.3

7 0
4 years ago
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