Answer:
no solution
Step-by-step explanation:
1/2(4x+14)=2(x-7)
Multiply both sides by 2.
4x + 14 = 4(x - 7)
4x + 14 = 4x - 28
Subtract 4x from both sides.
14 = -28
Since 14 = -28 is a false statement, there is no solution for this equation.
Answer: no solution
Consider the polynomial
It has three terms and their greatest common factor is 
Since

then
(you write in brackets the same sign as the corresponding term has).
Answer: correct choice is D.
Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then

Add these two equations:
and subtract first equation from the second:
Note that
thus

The equation for the planet's orbit is

Answer:
6. (a-4)(a+9)
7. (3p+4)(p-2)
8. Will explain below.
9. (5b+4)(5b-4)
Step-by-step explanation:
HELLOOO IM BACK
6. -4*9 = -36 (the variable), 9-4 = 5 (a) , so a^2 +5a - 36 is fulfilled.
7. 4*-2 = -8, 4-2 = 2, so 3p^2 - 2p - 8 is fulfilled.
9. 25b^2 = (5b)^2
16 = 4^2
Using the difference of squares formula, a^2-b^2= (a+b)(a-b)