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Nastasia [14]
3 years ago
5

The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 3)2 = 74. Find the values of n.

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

n = - 4, n = 10

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 3)² = 74, that is, expanding using FOIL

5² + n² - 6n + 9 = 74 ← simplifying

34 + n² - 6n = 74 ( subtract 74 from both sides and rearrange )

n² - 6n - 40 = 0 ← in standard form

(n - 10)(n + 4) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 4 = 0 ⇒ n = - 4

The values of n are - 4 and 10

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Which symbol can be used to correctly compare the two fractions 2/5 and 35/100
Kaylis [27]

Reduce 35/100 to 7/20 by dividing both sides by 5.

2/5 is bigger than 7/20.

2/5 > 7/20  or 2/5 > 35/100 if you leave it unsimplified

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Maddy has a bag of 36 marbles. The probability of picking green is 1 in 2, the probability of picking red is 1 in 3, and the pro
KonstantinChe [14]

Answer:  1 in 18

This is the same as writing the fraction 1/18

==============================================================

Explanation:

Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.

Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.

So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.

From that, the probability of choosing a black marble is 2/36 = 1/18.

There's a 1 in 18 chance of Maddy picking a black marble.

1/18 = 0.0556 = 5.56% approximately

7 0
2 years ago
Seven tenths is_________pieces of the whole
ale4655 [162]
70 pieces
7/10 = x/100
10*10=100
7*10 = 70
70/100
4 0
3 years ago
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This is for a Geometry-H class
crimeas [40]

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

<h3>How to Apply the Linear Angles Theorem?</h3>

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

Learn more about the linear angles theorem on:

brainly.com/question/5598970

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6 0
1 year ago
Frank has a 2-digit number on his baseball uniform. The number is a multiple of 10 and has 3 for one of its factors . What three
White raven [17]

Frank could have 30, 60 , 90 on his uniform

<em><u>Solution:</u></em>

Given that, Frank has a 2-digit number on his baseball uniform

The number is a multiple of 10 and has 3 for one of its factors

To find: Three numbers that Frank have on his uniform

Given that,

It's a multiple 10 and has 3 for one of its factors and its a 2-digit number

Let us first find the multiples of 10

<em><u>The two digit multiples of 10 are:</u></em>

{10, 20, 30, 40, 50, 60, 70, 80, 90}

From the above list, find the numbers which has 3 as one of its factors

Which means, find the numbers which are divisible by 3

The possible numbers = 30, 60, 90

Thus frank could have 30, 60 , 90 on his uniform

3 0
3 years ago
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