Answer is choice B: the circumference of a circle is the same as perimeter and is defined by πd (or pi times diameter) We can cut this in half because we are working with a semicircle: so we have 6π which approximates to the value in answer
when using 3.14 for pi
Woops: forgot to add the diameter of 12 so we would have 30.84
A or c is the correct answer
Hey there! :D
Vertical angles are congruent, they have the same measure.
So, <7 and <5 are vertical angles. They share the same vertex, and if you were to draw a straight line between them, it would connect and bisect them both equally.
<5= 45, so <7= 45.
I hope this helps!
~kaikers
The answer is C) (x - 1)2 = 0.5
The equation is
-9 + 12x - 6x² = 0
Multiply the following equation by (-1) on the both sides:
9 - 12x + 6x² =0
Now, we will use the method of completing the square:
ax² + bx + c = 0 ⇒ a(x + d)² + e = 0,
where d = b/2a, e = c - b² / 4a
The quadratic equation is: ax² + bx + c = 0
Our equation is: 6x² - 12x + 9 = 0
so in our equation a = 6, b = -12, c = 9
Now, let's replace it:
d = b/2a = -12/2*6 = -12/12 = -2
e = c - b² / 4a = 9 - (-12)²/4*6 = 9 - 144/24 = 9 - 6 = 3
a(x + d)² + e = 0,
6(x + (-1))² + 3 = 0
6(x - 1)² = 3
(x - 1)² = 3/6
(x - 1)² = 1/2
(x - 1)² = 0.5
