Answer:
Completing the square answer
Solution set
![m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4} = 0.75 + 4.94343 \, i](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D%20%3D%200.75%20%2B%204.94343%20%5C%2C%20i)
![m = \frac{3}{4} - \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20-%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
= 
Step-by-step explanation:
Assuming the question is correctly interpreted as 2m2 = 2m², here is how to proceed
We have 
Divide by 2 on both sides
Take half of the coefficient of 
and square it
![\left[ - \frac{3}{2} \cdot \frac{1}{2} \right]^2 = \frac{9}{16}](https://tex.z-dn.net/?f=%5Cleft%5B%20%20-%20%5Cfrac%7B3%7D%7B2%7D%20%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%5D%5E2%20%3D%20%5Cfrac%7B9%7D%7B16%7D)
Add the result to both sides
can be re-written as a perfect square
The RHS becomes
Therefore,
Take the square root of both side
![m - \frac{3}{4} = \pm \sqrt[]{ - \frac{391}{16}}](https://tex.z-dn.net/?f=m%20%20-%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cpm%20%5Csqrt%5B%5D%7B%20-%20%5Cfrac%7B391%7D%7B16%7D%7D)
Simplify
![m - \frac{3}{4} = \pm \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%20%20-%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cpm%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
Adding 
both sides
![m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
This gives the two solutions
![m= \frac{3}{4} + \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
and
which becomes
and
Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
Answer: the answer is 4, just 4
When using factoring by grouping, the replacement terms will both have the same sign of the original middle term. If the last term is negative, then the signs of the factors will have one of each sign with the “stronger” number (the larger absolute value) matching the middle term. hope this helps
Answer:
the second choice
Step-by-step explanation:
