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2 years ago

Circle O has a center at (-2, -2) and a diameter of 10 units. What point lies on circle O?

Mathematics

1 answer:

Sophie [7]2 years ago

8 0

The point r(-6,-5) lies on the circle.

Explanation

Given that the center of the circle=(-2,-2)

diameter=10 units

we have to determine which point among the given points lies on the circle.

radius=diameter/2=10/2=5 units

let (x,y) be a point on the circle

The distance between the center and (x,y) is equal to the radius of the circle

The distance between them= $\sqrt{(x-(-2))^2+y-(-2))^2}=5\\\\ \sqrt{(x+2)^2+(y+2)^2} =5\\\\$

squaring both sides $(x+2)^2+(y+2)^2=25\\$

The option (-6,-5) satisfies the equation

therefore the point that lies on the circle is (-6,-5)

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Find a right triangle that has legs with your irrational Lengths and a hypotenuse with a rational Length

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gg easy

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2 years ago

What is the coefficient of each monomial? a. 5pk b. f c. –9t d. –j

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Look at the picture

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c. -9t → -9

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2 years ago

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An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate

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600t = 480(18 – t) should be it

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Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig

miss Akunina [59]

Answer:

$f(t) = -0.05t +12$

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

$f (0) = 3 + 9\\f (0) = 12$

With these two points we can find the function:

If m is the slope of the line, then:

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Where by definition $c = f(0) = 12$

Finally the formula is:

$f(t) = -0.05t +12$

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