Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
Answer:

Step-by-step explanation:
Given

Required
Determine the area with coordinates 
The area is represented as:

Where

and

Substitute values for r, a and b in


Expand


By integratin the above, we get:
![Area = \frac{1}{2}*\frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{2}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B2%7D%5B0%2C2%5D)
![Area = \frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{4}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B4%7D%5B0%2C2%5D)
Substitute 0 and 2 for
one after the other





Get sin(2) and cos(2) in radians



the answer will be around 53.398