Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( 
)x +
- - 5
y = (x + )² - - 
y = (x + )² - 
Hence
a = and b = -
the answer you are looking for is C
Answer:
(x - 7)² + (y + 2)² = (2√13)²
Step-by-step explanation:
We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):
r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.
Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²
Angles are complementary and x is 15
You make 2 2/7 an improper fraction (16/7) and then you subtract 8/7 from 16/7 and you get 1 1/7 (or 8/7) as your final answer
