Answer:
The answer to your question is y = 2(x + 8)²
Step-by-step explanation:
This is a vertical parabola that opens upwards
The distance from the vertex to the directrix is 1/8 so p = 1/8.
Equation
(x - h)² = 4p(y - k)
h = -7
k = 0
p = 1/8
Substitution
(x + 8)² = 4(1/8)(y - 0)
Vertex form equation
(x + 8)² = 1/2(y)
y = 2(x + 8)²
x² + 16x + 64 = 1/2y
2x² + 32x + 128 = y
General equation
2x² + 32x - y + 128 = 0
<span>In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere.</span>
Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = 
= 6
Answer:
total animal 40
number of bears are 40×3/8=15
number of dogs will be 40 - 15 = 35
Step-by-step explanation:
hope it helped u buddy
