Answer:
14 degrees
Step-by-step explanation:
Complementary angles means they add up to 90 degrees.
If the smaller angle times 5 plus 6 equals the bigger angle, then:
14 x 5 = 70
70 + 6 = 76
76 + 14 = 90
 
        
                    
             
        
        
        
Answer:have a good day
Step-by-step explanation:
 
        
             
        
        
        
The quadratic function given by:
 
is in vertex form. The graph of  is a parabola whose axis is the vertical line
 is a parabola whose axis is the vertical line  and whose vertex is the point
 and whose vertex is the point  . So:
. So:
To translate the graph of a function to the right, left, upward or downward we have:

By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>

- Then translating<em> 5 units down:</em>

Since the new function is fatter, the factor we need to multiply the term  <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
 <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>

- Then translating<em> 1 unit down:</em>

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
 
        
             
        
        
        
1. a = 1/2x - 3
2. a = 2x + 7
        
             
        
        
        
Answer:33 cents
Step-by-step explanation:
its 0.328571429, but since its money, u can only go to the hundredths place, so u round up to 0.33