The equation of the circle that passes through the point (0 , 4) and has a center at the origin is x^2 + y^2 = 16.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (0 , 4).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(0 - 0)^2 + (4 - 0)^2
radius= √0 + 16
radius = 4
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = 4
(x - 0)^2 + (y - 0)^2 = 4^2
x^2 + y^2 = 16
Learn more about equation of a circle here: brainly.com/question/14150470
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Answer:
2: 6,8
Step-by-step explanation:
2) Look at the range from 6-8 then look at the frequency. The frequency is the highest so that is the most frequent range that they scored in.
I apologise for only answering one question. I don't have access to paper rn and this is hard stuff to do in my head.
Answer: 13.5 minutes
Step-by-step explanation:
Given : Sophie can type 128 words in 3 minutes.
Then , rate of typing =
(1)
Let x be the minute taken by her to type 576 words.
Then, rate of typing = (2)
From (1) and (2), we have
Hence, she will take 13.5 minutes to type 576 words.
Hope it’s helps
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