Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
Answer:A C and E
Step-by-step explanation:
Because that is how you do it
Combine the x terms since they are like terms and combine the constant terms since they are like terms.
x + 3x = 4x
9 + 7 = 16
4x + 16
Hopefully this helps and let me know if you need more help!
25x-25y that is the answer. You multiply the outside variable with the first variable inside the parenthesis. Next, you do the same thing to the other side and that is your answer. (unless you have to do more work)
Answer:
Yes, it is a rectangle
Step-by-step explanation:
12 ^2 +35^2 =37^2
