Answer:
a) (7,8)
b) r = 10
c) 
Step-by-step explanation:
a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)
we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as 



this is the coordinate of the center of the circle.
b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.
the general distance formula is:

in our case the equation changes to: (selecting the centre and point B)



side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)
c) the ingredients needed to make the equation of the circle are the
- coordinates of the center:

- radius of the circle:

we can put this in the formula of the circle:

in our case the equation changes to:



this is the equation of the circle!
Answer:
Step-by-step explanation:
Given that:
the perimeter of the fencing (rectangle) = 200
Let recall that the area equation of a rectangle = L × w
The perimeter now = 2(L + w)
The perimeter = 2L + 2w
∴
200 = 2L +2w
Dividing both sides by 2
100 = L + w
Making Length L the subject; we have:
- L = -100 + w
L = 100 - w
Thus;
A(w) = (100 - w) w
and the domain of the function is (0,100)
Answer:
188,582 fewer people attended the 2010 olympics to the 2006 olympics.
Step-by-step explanation:
Add all of the 2010 matches then subtract from 2006 total. You will get a negative number. Hope I helped!:-)
Answer:
9
Step-by-step explanation:
Answer:
The <em>surface area</em> of the cube is equal to 216 cm².
General Formulas and Concepts:
<u>Geometry</u>
Surface Area Formula [Cube]:

- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 6 cm
<u>Step 2: Find Surface Area</u>
- [Surface Area Formula - Cube] Substitute in <em>a</em>:

- Evaluate:

∴ we have found the surface area of the cube to be 216 cm².
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Topic: Geometry