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Tanya [424]
3 years ago
13

Write an equation to represent each relationship. Then solve the equation. Six times a number plus 4 is the same as the number m

inus 11. A. 6 + 4 = n - 11; n = 21 B. 4n - 6 = 11n; n = 6/7 C. 6n = 4 + 11; n = 5/2 D. 6n + 4 = n - 11 n = -3
Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

Let the unknown number be n

We are to write the expression as equation;

Six times a number plus 4 is the same as the number minus 11.

Six times a number is given as;

6n

Six times a number plus 4 is expressed as 6n+4

The unknown number minus 11 will be expressed as n-11

Finally If Six times a number plus 4 is the same as the number minus 11, them!

6n+4 = n-11

Next is to calculate n;

Collect like terms;

6n-n = -11-4

5n =-15

Divide through by5

5n/5 = -15/5

n = -3

Hence the vale n is -3

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Answer:

centre (5, 6 ) , r = \sqrt{37}

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

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given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

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using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

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