Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
Answer:
2.3 feet/ second
Step-by-step explanation:
To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.
This is given by rate of change = (change in position)/ change in time
From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.
Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds
Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.
Rounding off the answer to the nearest tenth, we have 2.3 ft/second
9 games
You can get this by multiplying each percentage by the total number of games to see what they have to expect.
.55*180 = 99 games (red team)
.60*180 = 108 games (blue team)
Now subtract the blue team expectation from the red team.
108 - 99 = 9 games.
Answer:
Step-by-step explanation:
5x+14<4 or -2(x-8)<-2
-14 -14 -2x+16<-2
5x<-10 -16 -16
÷5 ÷5 -2x<-18
x<-2 ÷-2 ÷-2
x>9 (sign changes because you divide by a negative number)
x<-2 or x>9
Answer:
8)y=2x-3
9)y= -1/2+4
Step-by-step explanation:
