Answer:
The equation for circle of radius 
centered at the point 
is:
Step-by-step explanation:
To derive this equation, we need the formula for the distance between two points in the plane. If the point is given by its cartesian coordinates, we can use the Pythagorean theorem to find what the distance between the points is.
Lets say we have two points, one given by cartesian coordinates P:(x,y) and the other given by cartesian coordiantes C:(h,k)
(see diagram)
We can see that
and by the pythagorean theorem we have:
Where 
is the distance between the points
Now, combining the last three equations we find:
We know that the definition of a circle is the locus of points that are at a distance r from a point called the center of the circle. if we take C:(h,k) as the center of the circle, and 
, the last equation becomes:
And that is the result we wanted.
Answer:
Linear Relationship
Step-by-step explanation:
The size is steadily progressing and so is the height.
Complete question :
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.
Answer:
12500 mm²
Step-by-step explanation:
The front face of the mode consista of both triangle and rectangle
Area of rectangle :
Height * Base
Height = 200 m ; Base = 50
Area = 200 m * 50 m = 10,000 mm²
Area of triangle :
1/2 * base * height
1/2 * 50 * (300 - 200)
1/2 * 50 * 100
= 2500 mm²
Area of front face = Area of rectangle + Area of triangle
Area of front face = (10,000 + 2500) m²
Area of front face = 12500 mm²
Hello, I have done this same math question before.
1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4. 500=15*month+105
395=15*month
26.33=month
Round up to 27 for the nearest whole month, so month 27.
Hope this helps!
