Answer:
7x+5y +29= 0
Step-by-step explanation: first we have to find slop of the line that is.( Y2-Y1)/x2-x1
M = slope = 4+3)/-7+2
M= 7/-5
Equation of line y - y 1 = M (X - X1)
Y+3 = 7/-5 (x+2)
7x + 5y +29 =0 Ans .
For this case we have that by definition, the area of a rectangle is given by:
![A = w * l](https://tex.z-dn.net/?f=A%20%3D%20w%20%2A%20l)
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
According to the data of the statement we have:
![A = 81-x ^ 2\\w = 9-x](https://tex.z-dn.net/?f=A%20%3D%2081-x%20%5E%202%5C%5Cw%20%3D%209-x)
So, the length is given by:
![l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}](https://tex.z-dn.net/?f=l%20%3D%20%5Cfrac%20%7BA%7D%20%7Bw%7D%5C%5Cl%20%3D%20%5Cfrac%20%7B81-x%20%5E%202%7D%20%7B9-x%7D)
We factor the numerator:
![l = \frac {(9 + x) (9-x)} {9-x}](https://tex.z-dn.net/?f=l%20%3D%20%5Cfrac%20%7B%289%20%2B%20x%29%20%289-x%29%7D%20%7B9-x%7D)
We simplify:
![l = 9 + x](https://tex.z-dn.net/?f=l%20%3D%209%20%2B%20x)
So, the length is ![9 + x](https://tex.z-dn.net/?f=9%20%2B%20x)
Answer:
![9 + x](https://tex.z-dn.net/?f=9%20%2B%20x)
Answer:
Option C: 47 tickets
Step-by-step explanation:
Given that:
Tickets given to employees = 1 part
Tickets given to listeners = 2 parts
This means 141 tickets are totally divided into 3 parts so:
1 part = 141/3
1 part = 47
So now,
Tickets given to employees = 1 part = 47 tickets
Tickets given to listeners = 2 parts = 47 *2 tickets = 94 tickets
I hope it will help you!
8x^2 - 16x - 15 = 0
x = [ -(-16) +/- sqrt((-16)^2 - 4*8*-15) / ] 2*8
= 2.696, -0.696