Answer:
(x+9.3)²+(y-4.1)²=169
Step-by-step explanation:
The common equation for a circle in the coordinate plane is:
(x-h)²+(y-k)²=r²
Where (h,k) is the point at the center of the circle and r is the radius:
Here (h,k) is (-9.3, 4.1) and r is 13.
Using this we can substitute to find:
(x-(-9.3))²+(y-(4.1))²=13²
And using arithmetic to simplify we find that the equation of the circle is:
(x+9.3)²+(y-4.1)²=169
Answer:
x=6 ; y=1
Step-by-step explanation:
Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:
With the wind:
35=(x+y)(5)
Against the wind:
35=(x-y)(7)
Now we have two equations and two unknowns so we can solve for x and y. We get:
x=6 miles/min
y=1 miles/min
100 cm = 1 m, so the conversion factor must be either 100 cm/1 m or 1 m/100 cm. Since you want to end up with cm, you need cm in the numerator. Then the m in the denominator will cancel out the given m. The answer is B.