Answer:
Step-by-step explanation:
This is a horizontally stretched ellipse.  That means that the horizontal line which is represented by the x-axis is the longer one.  The equation for this type of ellipse is

In an ellipse, the a value is ALWAYS bigger than the b value, and since the x-axis represents the longer axis, the a goes under the x-squared term.  
To solve for the h, the k, the a, and the b, we simply have to do some counting.  The center of the ellipse, the (h, k) our of equation, is sitting at (4, 6).  Put them where they belong in the equation.  The a axis (the horizontal one) is 8 units long, and the b axis (the vertical one) is 4 units long.  Square both of them and put them where they belong in the equation:

There you go!
 
        
             
        
        
        
Answer:
1 - 9/7n
Explanation:
1/7 - 3(3/7n - 2/7)
<em>distribute</em><em> </em><em>the</em><em> </em><em>3</em><em> </em><em>with</em><em> </em><em>the</em><em> </em><em>2</em><em> </em><em>fractions</em><em> </em><em>inside</em><em> </em><em>the</em><em> </em><em>parenthesis</em>
1/7 - 9/7n + 6/7
<em>add</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>(</em><em>1</em><em>/</em><em>7</em><em> </em><em>+</em><em> </em><em>6</em><em>/</em><em>7</em><em>)</em>
7/7 - 9/7n
<em>or</em>
1 - 9/7n
 
        
                    
             
        
        
        
Answer:
The original length of each side of the equilateral triangle = x =15 inches
Step-by-step explanation:
Let Original length of side of equilateral triangle = x
If it is increased by 5 inches, the length will become = x+5
Since in equilateral triangle all the ides have same length so, 
New Length of side 1 = x+5
New of side 2 = x+5
New Length of side 3 = x+5
Perimeter of triangle = 60 inches
We need to find the value of x
The formula used is: 
Putting values in formula and finding x

So, the original length of each side of the equilateral triangle = x =15 inches
 
        
             
        
        
        
F (x) = f (-16)
So you should plug -16 in for x 
f (-16) = 2(-16) -16
f(x) = -32 -16
f(x) = -48