Answer:

Step-by-step explanation:
Vertex form of a quadratic equation;

Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

Now substitute in the given point; ( -1, 9) and solve for a;

Hence the equation in vertex form is;

In standard form it is;

 
        
             
        
        
        
Use the Circumference Formula of a Circle: C=2(pi)(r). The radius is the length from the center to a point on the circle. The circumference is essentially the perimeter of the circle, so the “edge” around the circle is the circumference.
        
                    
             
        
        
        
Answer:
#15) B. 30 mn^5
#17) B. 1/2
Step-by-step explanation:
<h2>#15:</h2>
The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid. 
All of these measurements are given so all that you need to do is to substitute these values into the formula.
Substitute 3 for a, 9 for b, and 5 for h.
Solve inside the parentheses first. Add 3 and 9.
Multiply 12 and 1/2 together.
Multiply 6 and 5.
We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power. 
After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.
Therefore the final answer is B. 30 mn^5.
<h2>#17:</h2>
When going down from 32 to 8 to 2, you can see that each number is being divided by 4.
32 / 4 = 8... 
8 / 4 = 2...
So to find the next number in this sequence you would divide 2 by 4.
The answer is B. 1/2.
 
        
             
        
        
        
Answer:
About 2.17 feet. 
Step-by-step explanation:
Let <em>d</em> represent the diameter of the tire. 
Then the circumference of the tire will be: 

So, the tire will travel dπ miles after one rotation. 
After 775 rotations, the total miles traveled should be 5280 feet. Thus: 

Solve for <em>d:</em>
<em /> <em />
<em />
Approximate: 

The circumference of the tire should be about 2.17 feet. 
 
        
             
        
        
        
Answer:B
Step-by-step explanation: