Answer:
(x - [-1])² + (y - [-1])² = [13]
Step-by-step explanation:
If P and Q are the end-points of the diameter PQ, midpoint of the segment PQ will be the center of the circle. (Definition of the center of a circle)
Midpoint of a segment having extreme ends and
Coordinates of the center =
Since, extreme ends of the diameter are P(-4, -3) and Q(2, 1)
Center of the circle =
= (-1, -1)
Radius of the circle = Distance between the center and Q,
Since distance between the two points and is,
d =
Radius of the circle =
=
=
Equation of the circle will be,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and 'r' is the radius of the circle,
(x - [-1])² + (y - [-1])² = [13]
Given :
Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.
To Find :
How many cups of sugar does she need to make the cookies for her party.
Solution :
Let, cups of sugar required to make cookies for her party is x.
So,
Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
Answer:
Therefore the towns are apart 225 miles.
Step-by-step explanation:
Given that, Donna travels from one town to another town at a speed of 45 mph.
Assume that, x be the distance that was traveled by Donna .
We know that,
So, Donna takes hours for the tripe.
She could've made the trip in a half an hour less time,if she traveled 5 mph faster,
Now she could made the trip in
hours.
According to the problem,
miles
Therefore the towns are apart 225 miles.