Answer:
1) 

2) 

3) 

4) 

5) 

Step-by-step explanation:
1. −2x^2 + 8x + 5
For this case we can begin dividing all the terms by -2 and we got:
![x^2 -4x -\frac{5}{2}[/texAnd if we complete the square we got:[tex] x^2 -4x +(\frac{4}{2})^2 -\frac{5}{2} - (\frac{4}{2})^2](https://tex.z-dn.net/?f=%20x%5E2%20-4x%20-%5Cfrac%7B5%7D%7B2%7D%5B%2Ftex%3C%2Fp%3E%3Cp%3EAnd%20if%20we%20complete%20the%20square%20we%20got%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%20x%5E2%20-4x%20%2B%28%5Cfrac%7B4%7D%7B2%7D%29%5E2%20-%5Cfrac%7B5%7D%7B2%7D%20-%20%28%5Cfrac%7B4%7D%7B2%7D%29%5E2)

2. 2.5x^2 − 7.5x + 1.25
For this case we can begin dividing all the terms by 2.5 and we got:

And if we complete the square we got:


3. 4 / 3x ^2 + 6x − 5
For this case we can begin dividing all the terms by 4/3 and we got:

And if we complete the square we got:


4. 1000c^2 − 1250c + 695
For this case we can begin dividing all the terms by 1000 and we got:

And if we complete the square we got:


5. 8n^2 + 2n + 5
For this case we can begin dividing all the terms by 8 and we got:

And if we complete the square we got:


The answer is 2
Add like terms
Add 8 to -8 and the zero
To get 4x=8
Then divide 4 and 8 by 4
To get x=2
Step-by-step explanation:
m1.m2= -1
(4y = -2x -9)= (y = -1x/2 -9/4)
-1/2.m2= -1
m2 = 2
formula = y - y1 = m2 ( x - x1)
y - 10 = 2 ( x - (-7))
y - 10 = 2x + 14
y = 2x + 24
You can use spearman’s rank correlation coefficient but not sure if that’s the answer your looking for because it looks like you haven’t gave the whole question
Answer:
sec²-2scθ+tanθ+tan²θ=1-sinθ/1+sinθ
sec²-2scθ+tanθ+tan²θ
= 1+sin²θ-2sinθ/cos²θ
=-1+sinθ/1+sinθ
=1-sinθ/sinθ+1
1-sinθ/sinθ+1=-1+sinθ/1+sinθ True