The center of the circle shown below is at (5,4). a point on the circle is at (12,15). what is the radius of this circle? round the answer to the nearest tenth of a unit. a. 10.0 units b. 11.0 units c. 12.0 units d.. 13.0 units

The correct option is D. 13.0 unit

Therefore the Radius of a Circle is 13.0 unit (nearest tenth of a unit)

Step-by-step explanation:

Given:

Let C be the center of a Circle

C = (x₁ , y₁) = ( 5 , 4)

Let A be the point on a Circle

A = (x₂ , y₂) = ( 12 , 15)

To Find:

Radius, CA = ?

Solution:

Radius :

The radius of a circle is the distance from the center of the circle to any point on its Circle.

So By Distance Formula Between Two point is given as

Substituting the values we get

Therefore the Radius of a Circle is 13.0 unit

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.