The diameter of the circle can be found by using the distance formula with the two points given...
d^2=(4--10)^2+(6--2)^2
d^2=14^2+8^2
d^2=260
d=√260
d=2√65
Since the radius is just half of the diameter, r= √65
The center of the circle will just be the midpoint (the average of the coordinates of the two endpoints) of the two points given so:
c=(-10+4)/2, (-2+6)/2
c=(-3,2)
The standard form of the circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle so we can say:
(x+3)^2+(y-2)^2=65
Answer:
16.5
Step-by-step explanation:
5 ft every 2 seconds= 2.5 ft per second 3 seconds= 7.5ft
24-7.5=16.5
first find the difference
24-3 =21
then the ratio is 3:21
Answer:
The number of earned runs is 28.
Step-by-step explanation:
Earned runs average:
The earned runs average of a pitcher is the number of runs the he/she gives each 9 innings on average.
Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.
Solved by proportions, using a rule of three.
For each 9 innits, the pitcher gives 2.25 runs. How many runs for 112 innings?
9 innings - 2.25 runs
112 innings - x runs
Applying cross multiplication:
The number of earned runs is 28.
Answer:
#1
Step-by-step explanation:
The associative property of addition states that we can "flip" two expressions that are being added. Therefore, our answer is the first one because it can be rewritten as 3x + (-7y) which then is equivalent to -7y + 3x.
