Answer:
Here is the ans ...hope it helps:)
Answer:
(-9,6)
Step-by-step explanation:
The general equation of a circle is given as:
x²+y²+2gx+2fy+c = 0
The centre of the circle is (-g,-f)
Given the equation of the circle
(x+9)² + (y-6)² = 10²
First we need to expand and write it in the general form. On expansion:
x²+18x+81+y²-12y+36 = 100
Collecting like terms
x²+y²+18x-12y+81+36-100 = 0
x²+y²+18x-12y+17 = 0
Comparing to the general equation
2gx = 18x
g = 9
2fy = -12
f = -6
The center of the circle = (-g, -f)
= (-9,-(-6))
= (-9, 6)
Answer:72
Step-by-step explanation:
there are four offices so what you need yo do is this 18x4=72
Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
First option: 14.0 cm^2
Area of semicircle + area of triangle
1/2(pi)(r^2) + 1/2(b)(h)
1/2(3.14)(1.5^2) + 1/2(3)(7)
3.53+ 10.5
14.03 cm^2
