Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
so let's take a circle with radius (r) = 3cm
Area of the circle = πr² = 3.14 × 3² = 3.14 × 9 = 28.26cm²
hope it helps...!!!!
Answer:
69.6 ft
Step-by-step explanation:
The arc length can be found as a fraction of the circumference. That fraction is the ratio of the central angle measure to the measure for the whole circle.
__
Central angle of remaining arc:
360° -150° = 210°
Fraction of full circumference:
210°/360° = 7/12
The circumference of the circle is ...
C = 2πr = 2π(19 ft) = 38π ft.
Then the length of the remaining arc is ...
(7/12)(38π) ft ≈ 69.6 ft
why did the chicken cross the road
