Answer:
<em>( x + 4 )^2 + ( y - 15 )^2 = 1; Option A</em>
Step-by-step explanation:
<em>~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~</em>
1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:
( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2
2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2
3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.
<em>Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1</em>
C is the answer to the question.
Answer:
B is the answer. It keeps going up by 3 every time.
Step-by-step explanation:
Answer:
18/12
Step-by-step explanation:
1/3+2/4+4/6
LCM= 12 so,
(1×4)/12+ (2×3)/12+ (4×2)/12
=(4+6+8)/12
= 18/12
To find the speed of the boats we will divide the distance by time.
From the graph we finde the boats' speeds as ;

And for the speed of the third boat, we will also divide the distance by time.

As you can see the speed of boat 3 (8 km/h) is more than boat 1 (7 km/h) and boat 2 (5 km/h).
Thus the third boat is faster than both of them.
The answer is B.
You can see the speed of boat 1 and 2 in the picture.