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raylynnreece4939
29.08.2019 •
Mathematics
Acircle centered at the origin contains the point (0, –9). does (8, ) also lie on the circle? explain.
no, the distance from the center to the point
(8, ) is not the same as the radius.
no, the radius of 10 units is different from the distance from the center to the point
(8, ).
yes, the distance from the origin to the point
(8, ) is 9 units.
yes, the distance from the point (0, –9) to the point (8, ) is 9 units.
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Ответ:
Yes, the distance from the origin to the point
is
units.
Step-by-step explanation:
The question is incomplete. It should say ''Does
also lie on the circle? Explain''.
The equation of a circle centered at the origin is the following :
Where ''
'' is a real number and the radius of the circle.
We know that the circle contains the point
. Therefore, we can replace this information in the equation (I) to obtain the radius of the circle ⇒
And finally the radius will be
⇒
units
If we replace (II) in (I) we obtain :
(III) is the complete equation of the circle centered at the origin that contains the point![(0,-9)](/tpl/images/0207/6868/a69d6.png)
To see if the point
lie on the circle we only need to replace the coordinates of the point in the equation (III) :
The point
satisfies the equation (III). Therefore, it lies on the circle which equation is (III).
Now, to pick an option we need to remember the definition of a circle (centered at the origin) respect to the equation (I) :
The points
that verifies the equation (I) are located a distance ''
'' from the origin.
The correct option is :
Yes, the distance from the origin to the point
is
units.
Ответ:
Find the number of minutes will you spend if you travel 240 miles from Orlando to Miami
=> in 1 hour there are 60 minutes
=> 45 miles / hours is also equals to 45 miles / 60 minutes
=> how many 45 are their in 240
=> 240 / 45
=> 5.3, round to the nearest whole number = 5
=> 5 x 60
=> 300 minutes
=> 240 /300 minutes