Can you support your question by uploading a drawing?
I might be wrong but don’t you need two equations to do the elimination process?
Answer: 90% of students did NOT choose history.
Step-by-step explanation:
Art - 32.5%
Spanish - 7.5%
ELA - 10%
Math - 15%
Science - 25%
When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.
Hope This Helped, Have A Great Day!
Answer:
![2(x-1)^{2}=4](https://tex.z-dn.net/?f=2%28x-1%29%5E%7B2%7D%3D4)
Step-by-step explanation:
<u><em>The options of the question are</em></u>
2(x − 1)2 = 4
2(x − 1)2 = −4
2(x − 2)2 = 4
2(x − 2)2 = −4
we have
![2x^{2} -4x-2=0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-4x-2%3D0)
This is a vertical parabola open upward
The vertex represent the minimum value
The quadratic equation in vertex form is
![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
where
a is a coefficient
(h,k) is the vertex
so
Convert the quadratic equation in vertex form
Factor 2 leading coefficient
![2(x^{2} -2x)-2=0](https://tex.z-dn.net/?f=2%28x%5E%7B2%7D%20-2x%29-2%3D0)
Complete the squares
![2(x^{2} -2x+1)-2-2=0](https://tex.z-dn.net/?f=2%28x%5E%7B2%7D%20-2x%2B1%29-2-2%3D0)
![2(x^{2} -2x+1)-4=0](https://tex.z-dn.net/?f=2%28x%5E%7B2%7D%20-2x%2B1%29-4%3D0)
Rewrite as perfect squares
![2(x-1)^{2}-4=0](https://tex.z-dn.net/?f=2%28x-1%29%5E%7B2%7D-4%3D0)
The vertex is the point (1,-4)
Move the constant to the right side
![2(x-1)^{2}=4](https://tex.z-dn.net/?f=2%28x-1%29%5E%7B2%7D%3D4)
Answer:
36 yards
Step-by-step explanation:
The triangle is a 3-4-5 right triangle with a scaling factor of 12. No complicated Pythagorean theorem has to be used in this case.
60/12 = 5
48/12 = 4
3 is the only base number remaining.
3(12) =36