Answer:
![(4-\sqrt{19},4+\sqrt{19)](https://tex.z-dn.net/?f=%284-%5Csqrt%7B19%7D%2C4%2B%5Csqrt%7B19%29)
Step-by-step explanation:
we have
![x^{2} -8x=3](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-8x%3D3)
Divide the coefficient of term x by 2
![-8/2=-4](https://tex.z-dn.net/?f=-8%2F2%3D-4)
Squared the number
![(-4)^2=16](https://tex.z-dn.net/?f=%28-4%29%5E2%3D16)
Adds the number 16 to the both sides
![x^{2} -8x+16=3+16](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-8x%2B16%3D3%2B16)
![x^{2} -8x+16=19](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-8x%2B16%3D19)
Rewrite as perfect squares
![(x-4)^{2}=19](https://tex.z-dn.net/?f=%28x-4%29%5E%7B2%7D%3D19)
take square root both sides
![(x-4)=(+/-)\sqrt{19}](https://tex.z-dn.net/?f=%28x-4%29%3D%28%2B%2F-%29%5Csqrt%7B19%7D)
![x=4(+/-)\sqrt{19}](https://tex.z-dn.net/?f=x%3D4%28%2B%2F-%29%5Csqrt%7B19%7D)
![x_1=4(+)\sqrt{19}](https://tex.z-dn.net/?f=x_1%3D4%28%2B%29%5Csqrt%7B19%7D)
![x_2=4(-)\sqrt{19}](https://tex.z-dn.net/?f=x_2%3D4%28-%29%5Csqrt%7B19%7D)
therefore
The solution set is
![(4-\sqrt{19},4+\sqrt{19)](https://tex.z-dn.net/?f=%284-%5Csqrt%7B19%7D%2C4%2B%5Csqrt%7B19%29)
Answer:
15
Step-by-step explanation:
d=square root of w squared and l = square root of 9 squared and 12 squared = 15
Answer:
![47.5^o](https://tex.z-dn.net/?f=47.5%5Eo)
Step-by-step explanation:
If sketch of the circle and its points is shown as in the accompanying image, notice that the triangle formed FEC is an isosceles triangle, of which we know the angle at the center (angle ECF) to measure
.
Since the other two remaining angles must be equal to each other (they are <em>opposite</em> to sides of the same length - radii CE and CF of the circle), we have that the sum of all must render
:
![CFE +FEC+85^o=180^o\\2*CFE+85^o=180^o\\2*CFE=180^o-85^o\\2*CFE=95^o\\CFE=\frac{95^o}{2} \\CFE=47.5^o](https://tex.z-dn.net/?f=CFE%20%2BFEC%2B85%5Eo%3D180%5Eo%5C%5C2%2ACFE%2B85%5Eo%3D180%5Eo%5C%5C2%2ACFE%3D180%5Eo-85%5Eo%5C%5C2%2ACFE%3D95%5Eo%5C%5CCFE%3D%5Cfrac%7B95%5Eo%7D%7B2%7D%20%5C%5CCFE%3D47.5%5Eo)
The least positive integer is 1. The greatest negative integer is -1.