7/12*6/14
7*6=42
12*14=168
=42/168
=0.25 =1/4
The 4th term is 135
n-1
you get it by using the formula Tn= ar <span />
The answer would be the third one, p<319, because the auditorium can seat AT LEAST (<) 320 people, but it would be preferable to contain 319.
Answer:
area = 22,272
Step-by-step explanation:
area = length * width
to calculate the width, we need the first segment using the pythagorean theorem
![87^{2} + x^{2} = 145^{2}](https://tex.z-dn.net/?f=87%5E%7B2%7D%20%2B%20x%5E%7B2%7D%20%3D%20145%5E%7B2%7D)
![7569 + x^{2} = 21025](https://tex.z-dn.net/?f=7569%20%2B%20x%5E%7B2%7D%20%20%3D%2021025)
![x^{2} = 13456](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%2013456)
![x = 116](https://tex.z-dn.net/?f=x%20%3D%20116)
length = 116 + 140 = 256
so
area = 87 * 256 = 22,272
The first step is to name the equations to make the process of solving them easy.
![6x+7y=-4....(1)\\5x-3y=-21....(2)](https://tex.z-dn.net/?f=6x%2B7y%3D-4....%281%29%5C%5C5x-3y%3D-21....%282%29)
The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).
![-30x-35y=20...(3)\\30x-18y=-126...(4).](https://tex.z-dn.net/?f=-30x-35y%3D20...%283%29%5C%5C30x-18y%3D-126...%284%29.)
The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;
![-53y=-106....(5)\\=> y= 2.](https://tex.z-dn.net/?f=-53y%3D-106....%285%29%5C%5C%3D%3E%20y%3D%202.)
The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;
![6x+7y=-4\\=>6x+7(2)=-4\\=>6x=-18\\=>x=-3](https://tex.z-dn.net/?f=6x%2B7y%3D-4%5C%5C%3D%3E6x%2B7%282%29%3D-4%5C%5C%3D%3E6x%3D-18%5C%5C%3D%3Ex%3D-3)
The solution for this system of equations is ![(-3,2)](https://tex.z-dn.net/?f=%28-3%2C2%29)