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3 years ago

3. Which of the following equations has a center of (-4,7) and a diameter of 18?

Mathematics

1 answer:

sukhopar [10]3 years ago

8 0

Answer:

option 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then

(x - (- 4) )² + (y - 7)² = 9² , that is

(x + 4)² + (y - 7)² = 81

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2 years ago

In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

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Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

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Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

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Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

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New number of boys = 6

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Percentage of new group boys = [6 / 20]100

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Increase percent of the girls = 70% - 60%

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Step-by-step explanation:

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