If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the center of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation Find the center-radius form for the circle having the endpoints (1,4) and (7,6) of a diameter

(x - 4)² + (y - 5)² = 10

Step-by-step explanation:

First, we find the coordinates of the center of the circle by the formula ((x₁ + x₂)/2, (y₁ + y₂)/2). The point (x₁,y₁) = (1,4) and (x₂,y₂) = (7,6). So, the coordinates of the center of the circle are the coordinates of the midpoint of the diameter. So, ((1 + 7)/2,(4 + 6)/2) = (8/2, 10/2) = (4,5). We then find the radius which is the distance from the center of the circle to any of the end points of the diameter. So, r² = (x₂ - x₁)² + (y₂ - y₁)². Let (x₁, y₁) = (4,5) and (x₂, y₂) = (7,6). So, r² = (7 -4)² + (6 - 5)² = 3² + 1² = 9 + 1 = 10.

The equation of a circle with center (h,k) and radius, r in center radius form is given by  (x - h)² + (y - k)² = r²

With center (h,k) = (4,5) and r² = 10, we have

(x - 4)² + (y - 5)² = 10

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6