The point r(-6,-5) lies on the circle.
Explanation
Given that the center of the circle=(-2,-2)
diameter=10 units
we have to determine which point among the given points lies on the circle.
radius=diameter/2=10/2=5 units
let (x,y) be a point on the circle
The distance between the center and (x,y) is equal to the radius of the circle
The distance between them=
squaring both sides
The option (-6,-5) satisfies the equation
therefore the point that lies on the circle is (-6,-5)
Answer:
The length of the loop is approximately 49.58 km.
Step-by-step explanation:
Given:
Time required to ride bicycle in loop = 2 hours and 30 mins
Now we know that;
60 mins = 1 hour
30 mins =0.5 hour
so 2 hour and 30 mins =
∴ Time required to ride bicycle in loop = 2.5 hrs
Let the speed at which she is riding the bicycle be 's'.
and let Total distance of the loop be 'd'
Now we know that;
Distance is given by speed multiplied by time.
framing in equation form we get;
Now Given:
If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.
Hence we can say;
Speed =
Also time will be reduce to 7 mins.
7 mins =0.12 hrs
Now time = 2.5-0.12 =2.38
Again Distance is given by speed multiplied by time.
framing in equation form we get;
Now distance is same for both so we will calculate the speed by equating the equations.
Now Speed = 19.83 km/hr
Length of the loop (d) =
Hence the length of the loop is approximately 49.58 km.
Answer:
<u>$3.90</u> was the cost of salami per kilogram.
Step-by-step explanation:
<u><em>The question is incomplete, so the complete question is below:</em></u>
Now, to find the cost of salami per kilogram.
Cost of kilogram of sliced salami = $13.
Now, to get the cost of salami per kilogram we use unitary method:
If, the cost of kilogram of salami = $13.
Then, the cost of 1 kilogram of salami =
Therefore, $3.90 was the cost of salami per kilogram.