Answer: 
Step-by-step explanation:
The equation of a circle in the general form is:
The equaton of a circle in standard form is:
Where the center is at <em>(h, k)</em> and <em>r</em> is the radius
To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:
1- Given the equation in general form:
2- Complete the square:
-Group the like terms and move the constant to the other side.
- Complete the square on the left side of the equation.
- Add the same value to the other side.
Then you obtain:
Answer:
1590.4 square ft
Step-by-step explanation:
r=30 so you need to multiply that by 25% (30*.25=7.5)
30-7.5=22.5
A= pi(r)^2
A=pi*(22.5)^2
A=506.25pi
A=1590.43 or 1590.4 (to the nearest tenth)
Angle A of triangle ABC will be ...
∠A = θ₂ -θ₃ = 77° -26° = 51°
Angle B of triangle ABC will be ...
∠B = 180° -θ₂ -θ₁ = 180° -77° -44° = 59°
Then angle C will be ...
∠C = 180° -∠A -∠B = 180° -51° -59° = 70°
By the Law of Sines,
a/sin(∠A) = c/sin(∠C)
a = c×sin(∠A)/sin(∠C)
a = (57 yd)×sin(51°)/sin(70°) ≈ 47.14 yd
The distance from B to C is 47.14 yd.
Step-by-step explanation:
(-3,5) and (x,y)
Slope = (y - 5)/[x - (-3)] = (y - 5)/(x + 3)
(y - 5)/(x + 3) = -1/4
y - 5 = -1/4(x + 3)
y - 5 = (-1/4)x - 3/4
y = (-1/4)x - 3/4 + 5
y = (-1/4)x + 17/4.
