The answer is the C let me know if you need the work
Answer:
The solutions are ![x=-4(+/-)\sqrt{13}](https://tex.z-dn.net/?f=x%3D-4%28%2B%2F-%29%5Csqrt%7B13%7D)
Step-by-step explanation:
we have
![x^{2} +8x=-3](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%3D-3)
Complete the square. Remember to balance the equation by adding the same constants to each side
![x^{2} +8x+16=-3+16](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B16%3D-3%2B16)
![x^{2} +8x+16=13](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B16%3D13)
Rewrite as perfect squares
![(x+4)^{2}=13](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%3D13)
square root both sides
![x+4=(+/-)\sqrt{13}](https://tex.z-dn.net/?f=x%2B4%3D%28%2B%2F-%29%5Csqrt%7B13%7D)
![x=-4(+/-)\sqrt{13}](https://tex.z-dn.net/?f=x%3D-4%28%2B%2F-%29%5Csqrt%7B13%7D)
Answer:
A) 5x - 2y = 12
B) 3x + 2y = 36 Adding both equations eliminates "y"
8x = 48
x = 6 Putting x=6 into equation B we get
3*6 + 2y = 36
2y = 18
y = 9
Step-by-step explanation:
The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented as follows:
y = mx + b
where
Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4
Hence,
perpendicular lines follows the rule below:
m₁m₂ = -1
Hence,
5x - 3y = 4
5x - 4 = 3y
y = 5/ 3 x - 4 / 3
m₁ = 5 / 3
5/3 m₂ = -1
m₂ = - 3 / 5
Hence,
using (-4, 5)
5 = - 3 / 5 (-4) + b
5 = 12 / 5 + b
b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5
Therefore,
y = -3 / 5 x + 13 / 5
learn more on equation of a line here: brainly.com/question/10727767
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