Given:
The equation of a circle is:

To find:
The center and radius of the circle.
Solution:
We have,

To make complete square add square of half of x and square of half of y on both sides.




...(i)
The standard form of a circle is:
...(ii)
On comparing both sides, we get

Therefore, the center of the circle is (-2,3) and the radius is 3 units.
Answer: 5t = 400-105
Step-by-step explanation:
Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .
Goal = 400 three–pointers every week.
Marissa has already shot = 105 three–pointers
Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)
i.e. 5t = 400-105 (required equation)
⇒ 5t = 295
⇒ t = 59
hence, she need to make 59 shots per day for next 5 days.
The rectangle has an area of 18x8 = 144 sq in. The circle has an area of (pi)r^2 or (pi)3^2 =28.27sq in. Subtract 144 - 28.27 = 115.73
Answer:
mean add them all up and divide by 8
Step-by-step explanation:
Answer:
<u>Tabatha needs 25 feet of additional feet of pink ribbon to complete all the hair bows.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of pink ribbon Tabatha has = 3 1/3 yards
Amount of pink ribbon Tabatha needs to make all the hair bows = 35 feet
2. How many more feet of ribbon will Tabatha need to complete all the hair bows?
1 yard = 3 feet
3 1/3 yards = 10 feet
Additional feet of pink ribbon Tabatha needs = Amount of pink ribbon Tabatha needs to make all the hair bows - Amount of pink ribbon Tabatha has
Additional feet of pink ribbon Tabatha needs = 35 - 10
<u>Additional feet of pink ribbon Tabatha needs = 25 feet</u>