Answer:
![x > 3](https://tex.z-dn.net/?f=x%20%3E%203)
Step-by-step explanation:
1) Add 6 to both sides.
![9x > 21 + 6](https://tex.z-dn.net/?f=9x%20%3E%2021%20%2B%206)
2) Simplify 21 + 6 to 27.
![9x > 27](https://tex.z-dn.net/?f=9x%20%3E%2027)
3) Divide both sides by 9.
![x > \frac{27}{9}](https://tex.z-dn.net/?f=x%20%3E%20%20%5Cfrac%7B27%7D%7B9%7D%20)
4) Simplify 27/9 to 3.
![x > 3](https://tex.z-dn.net/?f=x%20%3E%203)
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Answer: this equation cannot be divided
Step-by-step explanation:
Answer:
x=5, y=-5.6
Step-by-step explanation:
-8x-10y=24
6x+5y=2
-8x-10y=24
2(6x+5y=2)
-8x-10y=24
12x+10y=4
4x=20
x=5
6x+5y=2
6(5)+5y=2
5y=2-30
y=-28/5
y=-5.6
Answer:
When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
For this case we have the following equation:
![x ^ 2 + 10x + 25 = 8\\x ^ 2 + 10x + 25-8 = 0\\x ^ 2 + 10x + 17 = 0](https://tex.z-dn.net/?f=x%20%5E%202%20%2B%2010x%20%2B%2025%20%3D%208%5C%5Cx%20%5E%202%20%2B%2010x%20%2B%2025-8%20%3D%200%5C%5Cx%20%5E%202%20%2B%2010x%20%2B%2017%20%3D%200)
We apply the quadratic formula:
![x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-b%20%5Cpm%20%5Csqrt%20%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%7D%20%7B2a%7D)
In this case we have:![a = 1\\b = 10\\c = 17](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%2010%5C%5Cc%20%3D%2017)
Substituting we have:
![x = \frac {-10 \pm \sqrt {10 ^ 2-4 (1) (17)}} {2 (1)}\\x = \frac {-10 \pm \sqrt {100-68}} {2}\\x = \frac {-10 \pm \sqrt {32}} {2}\\x = \frac {-10 \pm \sqrt {4 ^ 2 * 2}} {2}\\x = \frac {-10 \pm4 \sqrt {2}} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-10%20%5Cpm%20%5Csqrt%20%7B10%20%5E%202-4%20%281%29%20%2817%29%7D%7D%20%7B2%20%281%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-10%20%5Cpm%20%5Csqrt%20%7B100-68%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-10%20%5Cpm%20%5Csqrt%20%7B32%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-10%20%5Cpm%20%5Csqrt%20%7B4%20%5E%202%20%2A%202%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-10%20%5Cpm4%20%5Csqrt%20%7B2%7D%7D%20%7B2%7D)
We have two solutions:
![x_ {1} = - 5 + 2 \sqrt {2}\\x_ {2} = - 5-2 \sqrt {2}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%205%20%2B%202%20%5Csqrt%20%7B2%7D%5C%5Cx_%20%7B2%7D%20%3D%20-%205-2%20%5Csqrt%20%7B2%7D)
Answer:
Option D, E