The slope-intercept form: y = mx + b.
m - slope, b - y-intercept

We have the points (0, 75) → y-intercept (b = 75), and (7, 40).
Substitute the coordimates of the points to the formula of a slope:

<h3>Answer: y = -5x + 75.</h3>
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
 and so far we have that h = 0 and k = 0.
 and so far we have that h = 0 and k = 0. 
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
 and
 and
 and
 and
 and
 and
 so
 so
b = 12. Now we're ready to fill in the equation:
 and there you go!
 and there you go!
 
        
             
        
        
        
The answer to this question is: -3k+10
        
             
        
        
        
Answer:
the theater needs to sell at least 100 tickets
Step-by-step explanation:
wants to make at least $1000 and they already have $50, so you take the $9.50 per ticket and add that to the $50.
$1000=$9.50t+$50
1000/50=9.5t
950=9.5t
950/9.5=t
t=100
 
        
             
        
        
        
Answer:
The diameter of the circle is 14cm
Step-by-step explanation: