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Dennis_Churaev [7]
3 years ago
5

there were twenty one adults in line at a movie theater.That is three times the number of children in line. how many children we

re in line?
Mathematics
1 answer:
V125BC [204]3 years ago
7 0
You would do 21 divided by 3 and get 7.

The answer is 7 kids are in the line.




Please vote my answer the brainiest if it was helpful!!








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Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?
Inessa [10]

Answer:

Step-by-step explanation:

Let's do an example.

60:90:100

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7 0
2 years ago
Find the equation of the normal to the circle, whose equation is given below, at the point (1,2).( x − 3 ) 2 + ( y + 2 ) 2 = 20
grandymaker [24]

Answer:

The equation of the normal is y = 4 - 2·x

Step-by-step explanation:

The given equation of the circle, is presented as follows;

(x - 3)² + (y + 2)² = 20

The point of the normal of the circle = (1, 2)

The equation of the normal to a circle, x² + y² + D·x + E·y + F = 0 at a point P(x₁, y₁) is given as follows;

\dfrac{y - y_1}{x - x_1} = \dfrac{2 \cdot y_1 + D}{2 \cdot x_1 + E}

Expanding the given equation of the circle, gives;

(x - 3)² + (y + 2)² = x² + y² - 6·x + 4·y + 13 = 20

∴ x² + y² - 6·x + 4·y + 13 - 20 = x² + y² - 6·x + 4·y - 7 = 0

x² + y² - 6·x + 4·y - 7 = 0

∴ x₁ = 1, y₁ = 2, D = -6, E = 4, and F = 13

Which gives;

\dfrac{y - 2}{x - 1} = \dfrac{2 \times 2 + 4}{2 \times  1 + (-6)} = \dfrac{8}{-4} = -2

∴ y - 2 = -2 × (x - 1) = 2 - 2·x

y = 2 - 2·x + 2 = 4 - 2·x

The equation of the normal to the circle with equation (x - 3)² + (y + 2)² = 20, at the point (1, 2) is y = 4 - 2·x

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