Answer:
Centre = (-2,7) B
radius = 6
Step-by-step explanation:
The general formula for finding the equation of a circle is expressed as shown:
(x-h)²+(y-k)² = r² where (a,b) is the centre and r is the radius of the circle
Given the equation of the circle C in question (x+2)²+(y−7)²=36. We will compare the given equation to the general equation.
On comparison;
-h = 2
h = -2
-k = -7
k = 7
r² = 36
r = √36
r = ±6
From the answers gotten, it can be inferred that the centre of the circle (h,k) is (-2,7) and the radius of the circle is 6.
Radius of a circle cannot be a negative value so we will ignore the negative value of 6.
Answer:
its b i think
Step-by-step explanatioits n:
bye :)
Answer:
Step-by-step explanation:
Pythagorean theorem
A. (3,5) B. (-4,-3) C. (-4,4) D. (5,-3) E. (6,7) F. (-8,-8) G. (-2,7) H. (-2,-4) I. (3,-9) J. (1,0)
Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
