Answer:
The answer to your question is Center = (-8, 6) radius = 7
Step-by-step explanation:
Data
(x + 8)² + (y - 6)² = 49
Center = ?
radius = ?
Process
1.- Write the standard form of a circle
(x - h)² + (y - k)² = r²
2.- Compare the equation given with the standard form
The center of a circle = (h, k)
h = -8 k = 6 r² = 49
r = √49
r = 7
3.- Conclusion
Center = (-8, 6) radius = 7
Answer:
Yes ; Yes ; Yes it makes sense
Step-by-step explanation:
1.) Lydia used subtraction operator to define and establish a relationship between her best and worst game times ; Hence we could conclude that Lydia is correct as this gives the range between both times.
From the numbers given in the question as their is no graph attached :
4 1/4 - 1 1/2
17/4 - 3/2
(17 - 6) / 4
11 /4
= 2 3/4
The subtracted numbers represent the duration of each of the three times game was played ; Hence the numbers represents the game times.
Yes ; Her conclusion makes sense ; as she was able to deduce the range between her best and worst game time
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
Putting k=105 in (i), we get
Therefore, the required equation is .
Answer:
120 gallons per hour.
Step-by-step explanation:
Between 1:30 P.M. and 1:50 P.M., 40 gallons of water leaked into a boat.
We know, the (1: 50 P.M. - 1: 30 P.M.) = 20 minutes.
So, the time span is of 20 minutes and the amount of water leaked into is 40 gallons.
Therefore, the amount of water that will leak into the boat in 60 minutes is gallons.
So, the rate in gallons per hour of the leaking water is 120 gallons per hour. (Answer)
Answer:
number of math problems = 26
number of science problem = 16
Step-by-step explanation:
a total of 42 math and science problems for homework
Let m be the number of math problems and 's' be the number of science problems
You have 10 more math problems than science problems
substitute s+10 for m in the first equation
subtract 10 from both sides
divide both sides by 2
number of math problems = 26
number of science problem = 16