Answer:
12
Step-by-step explanation:
Pythagorean theorem
a²+b²=c²
a²+35²=37²
a²+1225=1369
manipulate the equation
1225-1369=-a²
-144=-a²
√-144=12
a=12
Half of 16 is 8
Half of 8 is 4
Answer=4
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
Answer:
z^2 = -12y
or y = -(z^2/12)
Step-by-step explanation:
Answer:
z^2 = -12y
Step-by-step explanation:
Given the vertex at origin;
This is same as (0,0)
The focus (0,-3)
The general form is;
(z-h)^2 = 4p(y-k)
(h,k) is the vertex (0,0); so h = 0 and k = 0
The focus is given as;
(h,k + p)
so ;
k + p = -3
but k =0
so p = -3
Thus, the equation of the parabola is;
(z-0)^2 = 4(-3)(y-0)
z^2 = -12y
