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k0ka [10]
3 years ago
6

John’s age is 2 years more than twice Mary’s age, and the sum of their ages is 32 years. How old is each.

Mathematics
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

John is 22; Mary is 10

Step-by-step explanation:

mary=m

john=2+2m

equation john + mary = 32

(2+2m) + m =32

3m+2 =32

3m=30

m=10

2m+2=?

2(10)+2=22

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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
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The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

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The length of the radius is the distance from the center of the circle

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∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

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The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

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