The first equation is 
(Equation 1)
The second equation is 
(Equation 2)
Putting the value of x from equation 1 in equation 2.
we get,
by simplifying the given equation,
Using discriminant formula,
Now the formula for solution 'x' of quadratic equation is given by:
Hence, these are the required solutions.
Answer:
a) 
Step-by-step explanation:
x + 2 = 3x + 6
-3x - 3x
___________
−2x + 2 = 6
- 2 - 2
_________
4 = −2x
_ ___
−2 −2
[Plug this back into both equations above to get the y-coordinate of 0]; 
I am joyous to assist you anytime.
As, Opposite side of Special trapezoid is equal.So, it will be a Parallelogram.
ab=c d= 19 units
Height of Trapezoid = 14 units
Area of Trapezoid = 
So, Area of Trapezoid = 266 square units
You, can use the formula for finding the area of parallelogram,which is = Base on which perpendicular is drawn × Length of Altitude
= 19 × 14
= 266 square units
Answer:
8/35 is correct
Step-by-step explanation:
Just multiply the numerator by numerator and denominator by denominator, then simplify
Recall that the vertex form of a quadratic function (or parabolic function) is equal to
Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have
Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
