Answer:
The answer to your question is Vertex = (-6 , 4)
Step-by-step explanation:
Data
Equation y = -x² - 12x - 32
Process
1.- Add 32 units in both sides
y + 32 = -x² - 12x - 32 + 32
2.- Simplify
y + 32 = -x² - 12x
3.- Factor -1 in the right side
y + 32 = -(x² + 12x )
4.- Complete the perfect square trinomial
y + 32 - 6² = -(x² + 12x + 6²)
5.- Simplify
y + 32 - 36 = -(x + 6)²
y - 4 = -(x + 6)²
6.- Find the vertex
Vertex = (-6 , 4)
Answer:
1. A. Set the angle and arc measures equal.
2. B. major arc
3. B. Multiply the angle measure by 2.
4. A. minor arc
Step-by-step explanation:
1. If the intercepted arc is made from a central angle then angle of arc is equal to the central angle
2. 190 is a bigger angle than 170(angle of the remaining arc)
Therefore it is a major arc.
3.If the intercepted arc is made from a inscribed angle, then the angle of arc is double of the inscribed angle.
4. 115 < 245
Therefore it is a minor arc.
Answer:
Step-by-step explanation:
Given
Required
The volume of the sphere
This is calculated as:
So, we have:
This gives:
I think that answer would be C
Answer: 4/15 of the movie
Step-by-step explanation:
In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.
At the end of the day, he still had ²/₅ of the movie to watch.
The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.
¹/₃ + ²/₅ + x = 1
x = 1 - ¹/₃ - ²/₅
