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aaminohasan142
24.09.2019 •
Mathematics
Acircle is centered at the point (-3, 2) and passes through the point (1, 5). the radius of the circle is
units. the point (-7,
) lies on this circle.
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Ответ:
r = √[(1-(-3))2+(5-2)2] = √25 = 5
An equation of the circle with center (h,k) and radius r is:
(x-h)2 + (y-k)2 = r2
So, in this problem, we have (x+3)2+(y-2)2=25.
To find a point on the circle with x-coordinate -7, replace x by -7 in the equation of the circle and solve for y:
(-7+3)2+(y-2)2 = 25
16 + (y-2)2=25
(y-2)2 = 9
y-2 = 3 or -3
So, y = 5 or -1
The points (-7,5) and (-7,-1) both lie on the circle.
Ответ:
16 km due west
Step-by-step explanation:
The bearing of the school p from school q is 16 km due west.
To find the bearing of school q from school p, we have to find the direction that the school q is with respect to school p.
Since p is directly west of q, then it implies that q must be directly east of p.
We now know the direction.
Since the distance from q to p is exactly the same as the distance from p to q, then, the distance from p to q is 16 km.
Hence, the bearing of q from p is 16 km due west.