Answer:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is
or in simplified terms, 3
Step-by-step explanation:
Answer:
Option (D)
Step-by-step explanation:
Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.
If x + 2 = 2,
By the property of subtraction of equality,
x + 2 - 2 = 2 - 2
x = 0
But in the given question,


shows the addition property of equality in step (2)
Therefore, subtraction property of equality was not applied.
Option (D) will be the answer.
Answer: I have included an image of the correct answer.
They are skew lines
It is the third option on Edge
Answer:
Family will save 3600 gallons of water by replacing the shower-heads.
Step-by-step explanation:
Number of family members in a family = 5
Each member of the family averages shower per day = 8 minutes
Total time for shower = 5×8 = 40 minutes
With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons
Water consumption in 30 days = 200×30 = 6000 gallons per month
After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day
Water used in one month = 80×30 = 2400 gallons
Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons
Therefore, family will use 3600 gallons less water by replacing the water saving water heads.